Cited Article: Hummer, G. Water conduction through the hydrophobic channel of a carbon nanotube
Alert Expires: 22 OCT 2009
Number of Citing Articles: 5 new records this week (5 in this e-mail)
Organization ID: 3b97d1bbc1878baed0ab183d8b03130b
========================================================================
Note: Instructions on how to purchase the full text of an article and Help Desk Contact information are at the end of the e-mail.
========================================================================
*Record 1 of 5.
*View Full Record: http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=000268139000031
*Order Full Text [ ]
Title:
Proton Affinities of Some Amino Acid Side Chains in a Restricted Environment
Authors:
Abi, TG; Anand, A; Taraphder, S
Author Full Names:
Abi, T. G.; Anand, Amit; Taraphder, Srabani
Source:
JOURNAL OF PHYSICAL CHEMISTRY B 113 (28): 9570-9576 JUL 16 2009
Language:
English
Document Type:
Article
KeyWords Plus:
CARBONIC-ANHYDRASE-II; GAS-PHASE BASICITIES; TRANSFER PATHWAYS; WATER-MOLECULES; NANOTUBES; ION; SOLVATION; TRANSPORT; HYDRATION; ENERGY
Abstract:
We investigate the dependence of proton affinity values of the side chains of amino acids such as Asp, Glu, His, Ser, and Thr on confinement in a single-walled carbon nanotube. The proton affinity values, estimated using the density functional theories (PW91/dnp and BLYP/dnp), are found to be highly sensitive toward confinement. We find that for both Asp and Glu, the proton affinity, while suspended inside the carbon nanotube, becomes Much less in comparison to their respective gas phase values. In the case of His, Ser, and Thr side chains, on the other hand, the proton affinity inside the carbon nanotube becomes negative. Hydrogen bonding with neighboring polar groups is found to result in a marked increase in proton affinity inside the tube in all of the cases reported in this article. The increase is most remarkable in the case of His, Ser, and Thr side chains where the presence of polar neighboring groups within a hydrogen-bonding distance is found 10 augment the proton !
affinity value by more than 100 kcal mol(-1).
Reprint Address:
Taraphder, S, Indian Inst Technol, Dept Chem, Kharagpur 721302, W Bengal, India.
Research Institution addresses:
[Abi, T. G.; Anand, Amit; Taraphder, Srabani] Indian Inst Technol, Dept Chem, Kharagpur 721302, W Bengal, India
E-mail Address:
srabani@chem.iitkgp.ernet.in
Cited References:
BECKE AD, 1988, PHYS REV A, V38, P3098.
BEREZHKOVSKII A, 2002, PHYS REV LETT, V89, P6.
BOJESEN G, 1987, J AM CHEM SOC, V109, P5557.
BURYKIN A, 2006, J COMPUT THEOR NANOS, V3, P237, DOI 10.1166/jctn.2006.005.
DELLEY B, 1990, J CHEM PHYS, V92, P508.
DELLEY B, 1996, J PHYS CHEM-US, V100, P6107.
DELLEY B, 1998, INT J QUANTUM CHEM, V69, P423.
DELLEY B, 2000, COMP MATER SCI, V17, P122.
DINADAYALANE TC, 2006, INT J QUANTUM CHEM, V106, P2920, DOI 10.1002/qua.21117.
DONALD HA, 1991, J AM CHEM SOC, V113, P1770.
ELDER I, 2007, PROTEINS, V68, P337, DOI 10.1002/prot.21403.
FULSCHER MP, 1996, CHEM PHYS, V204, P403.
GERENCSER L, 2001, BIOCHEMISTRY-US, V40, P1850.
HAKANSSON K, 1992, J MOL BIOL, V227, P1192.
HARRISON AG, 1997, MASS SPECTROM REV, V16, P201.
HASSAN SA, 2006, J CHEM PHYS, V124, ARTN 204510.
HUMMER G, 2001, NATURE, V414, P188.
HUNTER EPL, 1998, J PHYS CHEM REF DATA, V27, P413.
HYNES JT, 2007, HYDROGEN TRANSFER RE.
KE PC, 2007, J PHYS-CONDENS MAT, V19, ARTN 373101.
KEBARLE P, 1967, J AM CHEM SOC, V89, P6393.
LEE SU, 2004, J MOL STRUC-THEOCHEM, V672, P231, DOI 10.1016/j.theochem.2003.11.028.
LEMOFF AS, 2003, J AM CHEM SOC, V125, P13576, DOI 10.1021/ja034544n.
LI XP, 1993, ORG MASS SPECTROM, V28, P366.
MAKSIC ZB, 1999, CHEM PHYS LETT, V307, P497.
MARCUS Y, 1985, ION SOLVATION.
MARTRENCHARDBAR.S, 1999, CHEM PHYS, V16, P201.
MEJIAS JA, 2000, J CHEM PHYS, V113, P7306.
MEOTNER M, 2003, INT J MASS SPECTROM, V227, P525, DOI 10.1016/S1387-3806(03)00100-3.
MIRZA SP, 2001, RAPID COMMUN MASS SP, V15, P957.
ONSAGER L, 1967, NEUROSCIENCES, P75.
ONSAGER L, 1969, SCIENCE, V166, P1359.
ONUFRIEV A, 2003, J MOL BIOL, V332, P227.
PERDEW JP, 1992, PHYS REV B, V45, P13244.
QAIN M, 1997, BIOCHEMISTRY-US, V36, P15758.
QAIN M, 1999, BIOCHIM BIOPHYS ACTA, V1434, P1.
RAO JS, 2006, INT J QUANTUM CHEM, V106, P1217, DOI 10.1002/qua.20862.
RASAIAH JC, 2008, ANNU REV PHYS CHEM, V59, P713.
ROY A, 2007, J PHYS CHEM B, V111, P10563, DOI 10.1021/jp073499t.
ROY A, 2008, J PHYS CHEM B, V112, P13597, DOI 10.1021/jp0757309.
SHOUJUN X, 2003, J CHEM PHYS, V119, P10696.
SILVERMAN DN, 1993, BIOCHEMISTRY-US, V32, P10757.
SILVERMAN DN, 2000, BBA-BIOENERGETICS, V1458, P88.
SMITH BJ, 1994, CHEM PHYS LETT, V231, P345.
STEINER T, 2002, BIOPHYS CHEM, V95, P195.
SWART M, 2007, EUR J INORG CHEM AUG, P3646, DOI 10.1002/ejic.200700228.
VOTH GA, 2006, ACCOUNTS CHEM RES, V39, P143, DOI 10.1021/ar0402098.
WAGHE A, 2002, J CHEM PHYS, V117, P10789, DOI 10.1063/1.1519861.
WILLIAMS SD, 2004, INT J MOL SCI, V5, P67.
WOLF JF, 1977, J AM CHEM SOC, V99, P5417.
WOLFRAM K, 2001, CHEM GUIDE DENSITY F.
WU XJ, 2008, J PHYS CHEM C, V112, P8458, DOI 10.1021/jp710022y.
YEH IC, 2004, P NATL ACAD SCI USA, V101, P12177, DOI 10.1073/pnas.0402699101.
ZHU FQ, 2003, BIOPHYS J, V85, P236.
ZOLOTOY NB, 2006, DOKL PHYS CHEM 2, V406, P30, DOI 10.1134/S0012501606020023.
Cited Reference Count:
55
Times Cited:
0
Publisher:
AMER CHEMICAL SOC; 1155 16TH ST, NW, WASHINGTON, DC 20036 USA
Subject Category:
Chemistry, Physical
ISSN:
1520-6106
DOI:
10.1021/jp808606b
IDS Number:
472NO
========================================================================
*Record 2 of 5.
*View Full Record: http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=000268231000039
*Order Full Text [ ]
Title:
Jump Reorientation of Water Molecules Confined in Narrow Carbon Nanotubes
Authors:
Mukherjee, B; Maiti, PK; Dasgupta, C; Sood, AK
Author Full Names:
Mukherjee, Biswaroop; Maiti, Prabal K.; Dasgupta, Chandan; Sood, A. K.
Source:
JOURNAL OF PHYSICAL CHEMISTRY B 113 (30): 10322-10330 JUL 30 2009
Language:
English
Document Type:
Article
KeyWords Plus:
HYDROGEN-BOND DYNAMICS; LIQUID WATER; POTENTIAL FUNCTIONS; SPECTROSCOPY; HYDRATION; MODEL; RELAXATION; CONDUCTION; MECHANISM; GLASSES
Abstract:
We used molecular dynamics (MD) simulations to study the reorientational dynamics of water molecules confined inside narrow carbon nanotubes immersed in a bath of water. Our simulations show that the confined water molecules exhibit bistability in their reorientational relaxation, which proceeds by angular jumps between the two stable states. The angular jump of a water molecule in the bulk involves the breaking of a hydrogen bond with one of its neighbors and the formation of a hydrogen bond with a different neighbor. In contrast, the angular jump of a confined water molecule corresponds to an interchange of the two hydrogen atoms that can form a hydrogen bond with the same neighbor. The free energy barrier between these two states is a few k(B)T. The analytic solution of a simplified two-state jump model that qualitatively explains the reorientational behavior observed in simulations is also presented.
Reprint Address:
Mukherjee, B, Indian Inst Sci, Dept Phys, Ctr Condensed Matter Theory, Bangalore 560012, Karnataka, India.
Research Institution addresses:
[Mukherjee, Biswaroop; Maiti, Prabal K.; Dasgupta, Chandan] Indian Inst Sci, Dept Phys, Ctr Condensed Matter Theory, Bangalore 560012, Karnataka, India; [Sood, A. K.] Indian Inst Sci, Dept Phys, Bangalore 560012, Karnataka, India; [Mukherjee, Biswaroop; Dasgupta, Chandan] Jawaharlal Nehru Ctr Adv Sci Res, Condensed Matter Theory Unit, Bangalore 560064, Karnataka, India
E-mail Address:
biswa@physics.iisc.ernet.in; maiti@physics.iisc.ernet.in
Cited References:
BAGCHI B, 2005, CHEM REV, V105, P3197, DOI 10.1021/cr020661+.
BELCH AC, 1987, J CHEM PHYS, V86, P5676.
BERENDSEN HJC, 1987, J PHYS CHEM-US, V91, P6269.
BERNE BJ, 1976, DYNAMIC LIGHT SCATTE.
BEST RB, 2005, P NATL ACAD SCI USA, V102, P6732, DOI 10.1073/pnas.0408098102.
CASE DA, 1999, AMBER 7.
FECKO CJ, 2003, SCIENCE, V301, P1698.
FRANK HS, 1957, DISCUSS FARADAY SOC, P133.
HANASAKI I, 2006, J PHYS CONDENS MATT, V20, UNSP 015213-1-015213-7.
HUMMER G, 2001, NATURE, V414, P188.
IVANOV EN, 1964, SOV PHYS JETP, V18, P1041.
JAMES T, 2007, J CHEM PHYS, V126, UNSP 054506-1-054506-13.
JORGENSEN WL, 1983, J CHEM PHYS, V79, P926.
LAAGE D, 2006, CHEM PHYS LETT, V433, P80, DOI 10.1016/j.cplett.2006.11.035.
LAAGE D, 2006, SCIENCE, V311, P832, DOI 10.1126/science.1122154.
LAAGE D, 2007, P NATL ACAD SCI USA, V104, P11167, DOI 10.1073/pnas.0701699104.
LAAGE D, 2008, J PHYS CHEM B, V112, P14230, DOI 10.1021/jp805217u.
LAWRENCE CP, 2003, J CHEM PHYS, V118, P264, DOI 10.1063/1.1525802.
LOMBARDO TG, 2006, J CHEM PHYS, V125, ARTN 174507.
LOUGHNANE BJ, 1998, J PHYS CHEM B, V102, P10288.
LOUGHNANE BJ, 1999, J PHYS CHEM B, V103, P6061.
LUZAR A, 1996, NATURE, V379, P55.
LUZAR A, 2000, J CHEM PHYS, V113, P10663.
MAHONEY MW, 2000, J CHEM PHYS, V112, P8910.
MARX D, 1999, NATURE, V397, P601.
MUKHERJEE B, 2007, J CHEM PHYS, V126, UNSP 124704-1-124704-8.
MUKHERJEE B, 2008, ACS NANO, V2, P1189, DOI 10.1021/nn800182v.
NANDI N, 2000, CHEM REV, V100, P2013.
OHMINE I, 1993, CHEM REV, V93, P2545.
RAHMAN A, 1971, J CHEM PHYS, V55, P3336.
SEKI K, 2008, PHYS REV E 1, V77, ARTN 031505.
STANLEY HE, 1980, J CHEM PHYS, V73, P3404.
STENGER J, 2001, PHYS REV LETT, V87, ARTN 027401.
TAN HS, 2005, J CHEM PHYS, V122, UNSP 174501(9).
WINKLER K, 2000, J CHEM PHYS, V113, P4674.
WOUTERSEN S, 1997, SCIENCE, V278, P658.
WOUTERSEN S, 2006, PHYS REV LETT, V96, ARTN 138305.
ZANGI R, 2004, J PHYS-CONDENS MAT, V16, S5371, DOI 10.1088/0953-8984/16/45/005.
ZHU FQ, 2003, BIOPHYS J, V85, P236.
Cited Reference Count:
39
Times Cited:
0
Publisher:
AMER CHEMICAL SOC; 1155 16TH ST, NW, WASHINGTON, DC 20036 USA
Subject Category:
Chemistry, Physical
ISSN:
1520-6106
DOI:
10.1021/jp904099f
IDS Number:
473SY
========================================================================
*Record 3 of 5.
*View Full Record: http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=000268065000108
*Order Full Text [ ]
Title:
First-principles study on the tension-induced magnetic phase transition in Fe3C-single walled carbon nanotube compounds
Authors:
Yuan, SJ; Li, FS
Author Full Names:
Yuan, Shijun; Li, Fashen
Source:
JOURNAL OF APPLIED PHYSICS 106 (1): Art. No. 014307 JUL 1 2009
Language:
English
Document Type:
Article
Author Keywords:
ab initio calculations; band structure; carbon nanotubes; ferromagnetic materials; iron compounds; magnetic transitions; magnetomechanical effects; stress effects
KeyWords Plus:
PARTICLES
Abstract:
We report a first-principles investigation on the mechanical and magnetic properties of the compound of a single Fe3C cluster and single walled carbon nanotubes (SWNT) under uniaxial tensile stress. We find that the external tensile strain can induce a remarkably magnetic phase transition in the Fe3C-SWNT compounds. The results on geometrical and electronic structure suggest that the strong Fe-SWNT interaction plays an important role in determining the magnetic properties of the compounds.
Reprint Address:
Yuan, SJ, Southeast Univ, Dept Phys, Nanjing 211189, Peoples R China.
Research Institution addresses:
[Yuan, Shijun] Southeast Univ, Dept Phys, Nanjing 211189, Peoples R China; [Li, Fashen] Lanzhou Univ, Minist Educ, Key Lab Magnetism & Magnet Mat, Lanzhou 730000, Peoples R China
E-mail Address:
yuanshj@hust.edu.cn
Cited References:
DAI HJ, 2002, SURF SCI, V500, P218.
FAGAN SB, 2006, NANOTECHNOLOGY, V17, P1154, DOI 10.1088/0957-4484/17/4/052.
FUJITA T, 2006, APPL PHYS LETT, V88, ARTN 243118.
GAO YH, 2002, APPL PHYS LETT, V81, P4133, DOI 10.1063/1.1524293.
GUERINI S, 2005, PHYS REV B, V72, ARTN 233401.
GUO X, 2007, NANOTECHNOLOGY, V18, ARTN 105705.
HOU HQ, 2002, CHEM MATER, V14, P3990, DOI 10.1021/cm021206x.
HUMMER G, 2001, NATURE, V414, P188.
JINPHILLIPP NY, 2004, PHYS REV B, V70, ARTN 245421.
KAN EJ, 2007, J CHEM PHYS, V127, ARTN 164706.
KHLOBYSTOV AN, 2005, ACCOUNTS CHEM RES, V38, P901.
KIM BM, 2005, NANO LETT, V5, P873, DOI 10.1021/nl050278v.
KORNEVA G, 2005, NANO LETT, V5, P879, DOI 10.1021/nl0502928.
LIU X, 2004, PHYS REV B, V70, ARTN 205405.
LOTTERMOSER W, 2006, J PHYS CHEM B, V110, P9768, DOI 10.1021/jp061803x.
MULLER C, 2006, CARBON, V44, P1746, DOI 10.1016/j.carbon.2005.12.036.
PERDEW JP, 1996, PHYS REV LETT, V77, P3865.
ROBERTSON J, 2004, MATER TODAY, V7, P46.
RUSKOV T, 2006, J APPL PHYS, V100, ARTN 084326.
SCHAPER AK, 2005, J METASTAB NANOCRYST, V23, P301.
SU YC, 2005, APPL PHYS LETT, V87, ARTN 233112.
TANG C, 2008, PHYS REV LETT, V100, ARTN 175501.
TROULLIER N, 1991, PHYS REV B, V43, P1993.
WEISSMANN M, 2006, PHYS REV B, V73, ARTN 125435.
YUAN SJ, 2007, J PHYS-CONDENS MAT, V19, ARTN 466203.
YUAN SJ, 2008, J APPL PHYS, V104, ARTN 054310.
ZHAO Q, 2005, NANO LETT, V5, P847, DOI 10.1021/nl050167w.
ZHAO QZ, 2002, PHYS REV B, V65, ARTN 144105.
Cited Reference Count:
28
Times Cited:
0
Publisher:
AMER INST PHYSICS; CIRCULATION & FULFILLMENT DIV, 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, NY 11747-4501 USA
Subject Category:
Physics, Applied
ISSN:
0021-8979
DOI:
10.1063/1.3159016
IDS Number:
471NK
========================================================================
*Record 4 of 5.
*View Full Record: http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=000268071200006
*Order Full Text [ ]
Title:
Dewetting and Hydrophobic Interaction in Physical and Biological Systems
Authors:
Berne, BJ; Weeks, JD; Zhou, RH
Author Full Names:
Berne, Bruce J.; Weeks, John D.; Zhou, Ruhong
Source:
ANNUAL REVIEW OF PHYSICAL CHEMISTRY 60: 85-103 2009
Language:
English
Document Type:
Review
Author Keywords:
dewetting transition; effective length-scale-dependent interactions; protein folding; superhydrophobicity; nano hydrophobic plates; hydrophobic collapse of proteins; capillary drying; protein-ligand binding
KeyWords Plus:
MOLECULAR-DYNAMICS SIMULATIONS; FLUCTUATING HYDRATION STRUCTURE; LIQUID-VAPOR INTERFACE; LENNARD-JONES FLUID; TIM BARREL PROTEIN; LIGAND-BINDING; FREE-ENERGIES; AQUEOUS UREA; FIELD THEORY; ATTRACTIVE INTERACTIONS
Abstract:
Hydrophobicity manifests itself differently oil large and small length scales. This review focuses oil large-length-scale hydrophobicity, particularly oil dewetting at single hydrophobic surfaces and drying in regions bounded oil two or more sides by hydrophobic surfaces. Bale review applicable theories, simulations, and experiments pertaining to large-scale hydrophobicity in Physical and biomolecular systems and clarify some of the critical issues pertaining to this subject. Given space constraints, we cannot review all the significant and interesting work in this active field.
Reprint Address:
Berne, BJ, Columbia Univ, Dept Chem, New York, NY 10027 USA.
Research Institution addresses:
[Berne, Bruce J.; Zhou, Ruhong] Columbia Univ, Dept Chem, New York, NY 10027 USA; [Berne, Bruce J.; Zhou, Ruhong] IBM Corp, Thomas J Watson Res Ctr, Computat Biol Ctr, Yorktown Hts, NY 10598 USA; [Weeks, John D.] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA; [Weeks, John D.] Univ Maryland, Dept Chem & Biochem, College Pk, MD 20742 USA
E-mail Address:
bb8@columbia.edu
Cited References:
ABEL R, 2008, J AM CHEM SOC, V130, P2817, DOI 10.1021/ja0771033.
ANISHKIN A, 2004, BIOPHYS J, V86, P2883.
ASHBAUGH HS, 2001, J AM CHEM SOC, V123, P10721.
ASHBAUGH HS, 2005, J AM CHEM SOC, V127, P2808, DOI 10.1021/ja042600u.
ASHBAUGH HS, 2006, REV MOD PHYS, V78, P159, DOI 10.1103/RevModPhys.78.159.
ASTHAGIRI D, 2003, J CHEM PHYS, V119, P2702, DOI 10.1063/1.1587122.
ASTHAGIRI D, 2007, J AM CHEM SOC, V129, P10133, DOI 10.1021/ja071037n.
ATHAWALE MV, 2007, P NATL ACAD SCI USA, V104, P733, DOI 10.1073/pnas.0605139104.
BALL P, 2008, CHEM REV, V108, P74, DOI 10.1021/cr068037a.
BECK TL, 2006, POTENTIAL DISTRIBUTI.
BECKSTEIN O, 2003, P NATL ACAD SCI USA, V100, P7063, DOI 10.1073/pnas.1136844100.
BERARD DR, 1993, J CHEM PHYS, V98, P7236.
BRATKO D, 2001, J CHEM PHYS, V115, P3873.
BROOKS CL, 1998, P NATL ACAD SCI USA, V95, P11037.
BUFF FP, 1965, PHYS REV LETT, V15, P621.
CAFLISCH A, 1999, STRUCT FOLD DES, V7, P477.
CHANDLER D, 2005, NATURE, V437, P640, DOI 10.1038/nature04162.
CHEN YG, 2004, J PHYS CHEM B, V108, P19874, DOI 10.1021/jp0469261.
CHEN YG, 2006, P NATL ACAD SCI USA, V103, P7560, DOI 10.1073/pnas.0600282103.
CHENG LT, 2007, J CHEM PHYS, V127, ARTN 084503.
CHENG YK, 1998, NATURE, V392, P696.
CHEUNG MS, 2002, P NATL ACAD SCI USA, V99, P685.
CHOUDHURY N, 2005, J AM CHEM SOC, V127, P3556, DOI 10.1021/ja0441817.
CHOUDHURY N, 2005, MOL SIMULAT, V31, P457, DOI 10.1080/08927020500035457.
CHOUDHURY N, 2007, J AM CHEM SOC, V129, P4847, DOI 10.1021/ja069242a.
CHRISTENSON HK, 1988, SCIENCE, V239, P390.
COLLINS MD, 2005, P NATL ACAD SCI USA, V102, P16668, DOI 10.1073/pnas.0508224102.
DAY JPR, 2007, PHYS REV E 1, V76, ARTN 041601.
DILL KA, 1997, NAT STRUCT BIOL, V4, P19.
DILL KA, 2005, ANNU REV BIOPH BIOM, V34, P173.
DOBSON CM, 1998, ANGEW CHEM INT EDIT, V37, P868.
DOSHI DA, 2005, P NATL ACAD SCI USA, V102, P9458, DOI 10.1073/pnas.0504034102.
DZUBIELLA J, 2003, J CHEM PHYS, V119, P12049, DOI 10.1063/1.1632902.
DZUBIELLA J, 2004, J CHEM PHYS, V120, P5001, DOI 10.1063/1.1665656.
DZUBIELLA J, 2005, J CHEM PHYS, V122, ARTN 234706.
DZUBIELLA J, 2006, PHYS REV LETT, V96, ARTN 087802.
FERNANDEZ A, 2003, P NATL ACAD SCI USA, V100, P113.
FRANK HS, 1945, J CHEM PHYS, V13, P507.
FRIESNER RA, 2006, J MED CHEM, V49, P6177, DOI 10.1021/jm051256o.
GE ZB, 2006, PHYS REV LETT, V96, ARTN 186101.
GENZER J, 2000, SCIENCE, V290, P2130.
GIOVAMBATTISTA N, 2006, PHYS REV E 1, V73, ARTN 041604.
GIOVAMBATTISTA N, 2007, J PHYS CHEM B, V111, P9581, DOI 10.1021/jp071957s.
GIOVAMBATTISTA N, 2007, J PHYS CHEM C, V111, P1323.
GIOVAMBATTISTA N, 2008, P NATL ACAD SCI USA, V105, P2274, DOI 10.1073/pnas.0708088105.
GONG XJ, 2007, NAT NANOTECHNOL, V2, P709, DOI 10.1038/nnano.2007.320.
HANSEN JP, 2006, THEORY SIMPLE LIQUID.
HOTTA T, 2005, J PHYS CHEM B, V109, P18600, DOI 10.1021/jp0526039.
HOTTA T, 2007, J PHYS CHEM C, V111, P2861, DOI 10.1021/jp062977h.
HUA L, 2006, J PHYS CHEM B, V110, P3704, DOI 10.1021/jp055399y.
HUA L, 2007, J PHYS CHEM B, V111, P9069, DOI 10.1021/jp0707923.
HUA L, 2008, J PHYS CHEM UNPUB.
HUA L, 2008, P NATL ACAD IN PRESS.
HUANG DM, 2000, PHYS REV E, V61, P1501.
HUANG DM, 2001, J PHYS CHEM B, V105, P6704.
HUANG DM, 2002, J PHYS CHEM B, V106, P2047.
HUANG X, 2003, P NATL ACAD SCI USA, V100, P11953, DOI 10.1073/pnas.1934837100.
HUANG XH, 2005, J PHYS CHEM B, V109, P3546, DOI 10.1021/jp0455201.
HUMMER G, 1996, P NATL ACAD SCI USA, V93, P8951.
HUMMER G, 1998, J PHYS CHEM A, V102, P7885.
HUMMER G, 2000, CHEM PHYS, V258, P349.
HUMMER G, 2001, NATURE, V414, P188.
HUMMERG, 1998, J PHYS CHEM B, V102, P10469.
ISRAELACHVILI JN, 1976, J CHEM SOC FARADAY T, V72, P1525.
JENSEN TR, 2003, PHYS REV LETT, V90, ARTN 086101.
KAGAN BL, 2005, SCIENCE, V307, P42.
KATSOV K, 2001, J PHYS CHEM B, V105, P6738.
KAYA H, 2003, J MOL BIOL, V326, P911, DOI 10.1016/S0022-2836(02)01434-1.
KRONE MG, 2008, J AM CHEM SOC, V130, P11066, DOI 10.1021/ja8017303.
LAZARIDIS T, 1998, J PHYS CHEM B, V102, P3531.
LEE CY, 1984, J CHEM PHYS, V80, P4448.
LEUNG K, 2003, PHYS REV LETT, V90, P65502.
LI JY, 2005, J PHYS CHEM B, V109, P13639, DOI 10.1021/jp044090w.
LI JY, 2007, P NATL ACAD SCI USA, V104, P3687, DOI 10.1073/pnas.0604541104.
LI X, 2006, J AM CHEM SOC, V128, P12439, DOI 10.1021/ja057944e.
LIU P, 2005, NATURE, V437, P159, DOI 10.1038/nature03926.
LUM K, 1997, PHYS REV E, V56, P6283.
LUM K, 1998, INT J THERMOPHYS, V19, P845.
LUM K, 1999, J PHYS CHEM B, V103, P4570.
LUZAR A, 1987, J CHEM PHYS, V86, P2955.
LUZAR A, 2000, J CHEM PHYS, V113, P5836.
MACCARINI M, 2007, LANGMUIR, V23, P598, DOI 10.1021/la061943y.
MAIBAUM L, 2003, J PHYS CHEM B, V107, P1189, DOI 10.1021/jp0267196.
MEZGER M, 2006, P NATL ACAD SCI USA, V103, P18401, DOI 10.1073/pnas.0608827103.
MILLER TF, 2007, P NATL ACAD SCI USA, V104, P14559, DOI 10.1073/pnas.0705830104.
MOUNTAIN RD, 2003, J AM CHEM SOC, V125, P1950, DOI 10.1021/ja020496f.
OBRIEN EP, 2007, J AM CHEM SOC, V129, P7346, DOI 10.1021/ja069232+.
PALIWAL A, 2006, J CHEM PHYS, V124, ARTN 224502.
PANGALI C, 1979, J CHEM PHYS, V71, P2982.
PARKER JL, 1994, J PHYS CHEM-US, V98, P8468.
PATEY GN, 1996, BER BUNSEN PHYS CHEM, V100, P885.
PERTSIN AJ, 2002, J PHYS CHEM B, V106, P12274, DOI 10.1021/jp0257471.
POYNOR A, 2006, PHYS REV LETT, V97, ARTN 266101.
PRATT LR, 1977, J CHEM PHYS, V67, P3683.
PRATT LR, 2002, ANNU REV PHYS CHEM, V53, P409.
QVIST J, 2008, P NATL ACAD SCI USA, V105, P6296, DOI 10.1073/pnas.0709844105.
RAJAMANI S, 2005, P NATL ACAD SCI USA, V102, P9475, DOI 10.1073/pnas.0504089102.
RAO M, 1979, J CHEM PHYS, V71, P3802.
RASAIAH JC, 2008, ANNU REV PHYS CHEM, V59, P713.
RAY C, 2008, J AM CHEM SOC, V130, P10008, DOI 10.1021/ja801568y.
RODGERS JIM, 2008, P NATL ACAD IN PRESS.
RODGERS JM, 2006, PHYS REV LETT, V97, ARTN 097801.
RODGERS JM, 2008, UNPUB.
ROTH R, 2008, BIOPHYS J, V94, P4282, DOI 10.1529/biophysj.107.120493.
ROWLINSON JS, 1989, MOL THEORY CAPILLARI.
SETNY P, 2006, J CHEM PHYS, V125, ARTN 144717.
SHAH JK, 2007, J CHEM PHYS, V127, ARTN 144508.
SHEA JE, 2002, P NATL ACAD SCI USA, V99, P16064, DOI 10.1073/pnas.242293099.
SIMONSEN AC, 2004, J COLLOID INTERF SCI, V273, P291, DOI 10.1016/j.jcis.2003.12.035.
SOCCI ND, 1998, PROTEINS, V32, P136.
SOUTHALL NT, 2000, J PHYS CHEM B, V104, P1326.
STILLINGER FH, 1973, J SOLUTION CHEM, V2, P141.
STUART SJ, 1996, J PHYS CHEM-US, V100, P11934.
STUART SJ, 1999, J PHYS CHEM A, V103, P10300.
SUBRAMANIAN S, 2007, J COLLOID INTERF SCI, V313, P64, DOI 10.1016/j.jcis.2007.04.019.
TANFORD C, 1969, J MOL BIOL, V39, P539.
TANFORD C, 1972, J MOL BIOL, V67, P59.
TANFORD C, 1997, PROTEIN SCI, V6, P1358.
THOMAS AS, 2007, J AM CHEM SOC, V129, P14887, DOI 10.1021/ja073097z.
TIRADORIVES J, 1997, BIOCHEMISTRY-US, V36, P7313.
TOBIAS DJ, 2008, SCIENCE, V319, P1197, DOI 10.1126/science.1152799.
VADREVU R, 2008, J MOL BIOL, V377, P294, DOI 10.1016/j.jmb.2007.11.010.
VANSWOL F, 1984, PHYS REV LETT, V53, P1376.
WALLQVIST A, 1988, CHEM PHYS LETT, V145, P26.
WALLQVIST A, 1995, J PHYS CHEM-US, V99, P2893.
WALLQVIST A, 1998, J AM CHEM SOC, V120, P427.
WALLQVIST A, 2001, J PHYS CHEM B, V105, P6745.
WAN RZ, 2005, J AM CHEM SOC, V127, P7166, DOI 10.1021/ja050044d.
WATANABE K, 1986, J PHYS CHEM-US, V90, P795.
WEEKS JD, 1977, J CHEM PHYS, V67, P3106.
WEEKS JD, 1998, PHYS REV LETT, V81, P4400.
WEEKS JD, 2002, ANNU REV PHYS CHEM, V53, P533, DOI 10.1146/annurev.physchem.53.100201.133929.
WILLARD AP, 2008, J PHYS CHEM B, V112, P6187, DOI 10.1021/jp077186+.
WILLARD AP, 2009, FARADAY DISCUSS, V141, P209, DOI 10.1039/b805786a.
WOLDE PRT, 2002, P NATL ACAD SCI USA, V99, P6539.
WU Y, 2007, J MOL BIOL, V366, P1624, DOI 10.1016/j.jmb.2006.12.005.
WYMAN J, 1948, ADV PROTEIN CHEM, V4, P407.
WYMAN J, 1964, ADV PROTEIN CHEM, V19, P223.
YAMINSKY VV, 1983, J COLLOID INTERF SCI, V96, P301.
YAMINSKY VV, 1993, LANGMUIR, V9, P3618.
YOUNG T, 2007, P NATL ACAD SCI USA, V104, P808, DOI 10.1073/pnas.0610202104.
ZANGI R, 2006, J PHYS CHEM B, V110, P22736, DOI 10.1021/jp064475+.
ZANGI R, 2008, NATURE UNPUB.
ZHANG XY, 2002, SCIENCE, V295, P663.
ZHOU RH, 2004, SCIENCE, V305, P1605.
Cited Reference Count:
145
Times Cited:
1
Publisher:
ANNUAL REVIEWS; 4139 EL CAMINO WAY, PO BOX 10139, PALO ALTO, CA 94303-0139 USA
Subject Category:
Chemistry, Physical
ISSN:
0066-426X
DOI:
10.1146/annurev.physchem.58.032806.104445
IDS Number:
471PT
========================================================================
*Record 5 of 5.
*View Full Record: http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord;KeyUT=000268071200017
*Order Full Text [ ]
Title:
Equation-Free Multiscale Computation: Algorithms and Applications
Authors:
Kevrekidis, IG; Samaey, G
Author Full Names:
Kevrekidis, Ioannis G.; Samaey, Giovanni
Source:
ANNUAL REVIEW OF PHYSICAL CHEMISTRY 60: 321-344 2009
Language:
English
Document Type:
Review
Author Keywords:
complex systems; equation-free methods; simulation; bifurcation analysis; patch dynamics
KeyWords Plus:
BROWNIAN CONFIGURATION FIELDS; MONTE-CARLO SIMULATIONS; INDIVIDUAL-BASED MODELS; BIFURCATION-ANALYSIS; DIFFERENTIAL-EQUATIONS; MOLECULAR-DYNAMICS; OPTIMAL PREDICTION; DIMENSIONALITY REDUCTION; HOMOGENIZATION PROBLEMS; PROJECTIVE INTEGRATION
Abstract:
In traditional physicochemical modeling, one derives evolution equations at the (macroscopic, coarse) scale of interest; these are used to perform a variety of tasks (simulation, bifurcation analysis, Optimization) using an arsenal of analytical and numerical techniques. For many complex systems, however, although one observes evolution at a macroscopic scale of interest, accurate models ire only given at a more detailed (fine-scale, microscopic) level of description (e.g., lattice Boltzmann, kinetic Monte Carlo, molecular dynamics). Here, we review a framework for computer-aided multiscale analysis, which enables macroscopic computational tasks (over extended spatiotemporal scales) using only appropriately initialized microscopic simulation on short time and length scales. The methodology bypasses the derivation of macroscopic evolution equations when these equations conceptual), exist but are not available in closed form-hence the term equation-free. We selectively discuss!
basic algorithms and underlying principles and illustrate the approach through representative applications. We also discuss potential difficulties and outline areas for future research.
Reprint Address:
Kevrekidis, IG, Princeton Univ, Dept Chem Engn, Princeton, NJ 08544 USA.
Research Institution addresses:
[Kevrekidis, Ioannis G.] Princeton Univ, Dept Chem Engn, Princeton, NJ 08544 USA; [Kevrekidis, Ioannis G.] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA; [Samaey, Giovanni] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Louvain, Belgium
E-mail Address:
yannis@princeton.edu; giovanni.samaey@cs.kuleuven.be
Cited References:
2001, COMMUN COMPUT PHYS, V2, P367.
2003, COMMUN MATH SCI, V1, P423.
2003, COMMUN MATH SCI, V1, P87.
2005, COMMUN PURE APPL MAT, V58, P1544.
ABDULLE A, 2002, SIAM J SCI COMPUT, V23, P2041.
ABRAHAM FF, 1998, COMPUT PHYS, V12, P538.
ABRAHAM FF, 2000, MRS BULL, V25, P27.
AMAT MA, 2007, APPL PHYS LETT, V90, ARTN 171910.
ATTINGER S, 2003, COMPUTAT GEOSCI, V7, P253.
AUBRY N, 1988, J FLUID MECH, V192, P115.
AXELSSON O, 2004, NUMER MATH, V99, P197, DOI 10.1007/s00211-004-0557-2.
BALESCU R, 1975, EQUILIBRIUM NONEQUIL.
BELKIN M, 2003, NEURAL COMPUT, V15, P1373.
BENSOUSSAN A, 1978, STUDIES MATH APPL, V5.
BODENSTEIN M, 1913, Z PHYS CHEM, V85, P329.
BOLD KA, 2007, J MATH BIOL, V55, P331, DOI 10.1007/s00285-007-0086-6.
BOON JP, 1980, MOL HYDRODYNAMICS.
BORNEMANN F, 1998, HOMOGENIZATION TIME.
BRANDT A, 2002, MULTISCALE MULTIRESO, P3.
BULATOV V, 1998, NATURE, V391, P669.
CARR J, 1981, APPL CTR MANIFOLD TH.
CHAPMAN S, 1991, MATH THEORY NONUNIFO.
CHEN L, 2004, J NON-NEWTON FLUID, V120, P215, DOI 10.1016/j.jnnfm.2003.12.007.
CHEN LY, 1995, PHYS REV E A, V51, P5577.
CHORIN AJ, 1998, P NATL ACAD SCI USA, V95, P4094.
CHORIN AJ, 2000, P NATL ACAD SCI USA, V97, P2968.
CHORIN AJ, 2002, PHYSICA D, V166, P239.
CISTERNAS J, 2004, P ROY SOC LOND A MAT, V460, P2761, DOI 10.1098/rspa.2004.1300.
COIFMAN RR, 2006, APPL COMPUT HARMON A, V21, P5, DOI 10.1016/j.acha.2006.04.006.
CONSTANTIN P, 1988, INTEGRAL MANIFOLDS I.
CURTIN WA, 2003, MODEL SIMUL MATER SC, V11, R33.
DEANE AE, 1991, PHYS FLUIDS A-FLUID, V3, P2337.
DYAKANOV EG, 1961, DOKL AKAD NAUK SSSR, V138, P522.
EHRENFEST P, 1959, CONCEPTUAL FDN STAT.
ENGQUIST B, 2005, MATH COMPUT, V74, P1707.
ERBAN R, 2005, SIAM J APPL MATH, V65, P361, DOI 10.1137/S0036139903433232.
ERBAN R, 2006, PHYSICA D, V215, P1, DOI 10.1016/j.physd.2006.01.008.
ERBAN R, 2007, J CHEM PHYS, V126, ARTN 155103.
FABER V, 1990, ADV APPL MATH, V11, P109.
FREDERIX Y, 2008, DISCRET C B IN PRESS.
GARCIA AL, 1999, J COMPUT PHYS, V154, P134.
GASPARD P, 1998, CHAOS SCATTERING STA.
GEAR CW, 2001, 2001130 TR NEC RES I.
GEAR CW, 2002, COMPUT CHEM ENG, V26, P941.
GEAR CW, 2003, J COMPUT PHYS, V187, P95, DOI 10.1016/S0021-9991(03)00082-2.
GEAR CW, 2003, SIAM J SCI COMPUT, V24, P1091.
GEAR CW, 2004, PHYS LETT A, V321, P335, DOI 10.1016/j.physleta.2003.12.041.
GEAR CW, 2005, J SCI COMPUT, V25, P17, DOI 10.1007/s10915-004-4630-x.
GEAR CW, 2005, SIAM J APPL DYN SYST, V4, P711.
GHEORMA IL, 2004, J APPL PHYS, V95, P1420, DOI 10.1063/1.1636811.
GILBERT N, 2007, AGENT BASED MODELS.
GIVON D, 2004, NONLINEARITY, V17, R55, DOI 10.1088/0951-7715/17/6/R01.
GIVON D, 2008, MULTISCALE MODEL SIM, V7, P495, DOI 10.1137/070693473.
GOLDENFELD N, 1992, LECT PHASE TRANSITIO.
GORBAN AN, 2001, J NON-NEWTON FLUID, V96, P203.
GORBAN AN, 2001, PHYS REV E 2, V63, ARTN 066124.
GORBAN AN, 2002, PHYS REV E 2, V65, ARTN 026116.
GORBAN AN, 2005, INVARIANT MANIFOLDS.
GRIER DG, 2003, NATURE, V424, P810, DOI 10.1038/nature01935.
GROSS T, 2008, EPL-EUROPHYS LETT, V82, ARTN 38004.
GUNN JE, 1964, NUMER MATH, V6, P181.
HADJICONSTANTINOU NG, 1999, J COMPUT PHYS, V154, P245.
HOLMES P, 1996, TURBULENCE COHERENT.
HUISINGA W, 2003, COMMUN PUR APPL MATH, V56, P234.
HULSEN MA, 1997, J NON-NEWTON FLUID, V70, P79.
HUMMER G, 2001, NATURE, V414, P188.
JENDREJACK RM, 2002, J NON-NEWTON FLUID, V108, P123.
KATSOULAKIS MA, 2003, J COMPUT PHYS, V186, P250, DOI 10.1016/S0021-9991(03)00051-2.
KAVOUSANAKIS ME, 2007, J COMPUT PHYS, V225, P382, DOI 10.1016/j.jcp.2006.12.003.
KELLEY CT, 1995, ITERATIVE METHODS LI.
KEUNINGS R, 2004, RHEOLOGY REV, P67.
KEVREKIDIS IG, 2003, COMMUN MATH SCI, V1, P715.
KNOLL DA, 2004, J COMPUT PHYS, V193, P357, DOI 10.1016/j.jcp.2003.08.010.
KOPELEVICH DI, 2005, J CHEM PHYS, V122, ARTN 044907.
KOPELEVICH DI, 2005, J CHEM PHYS, V122, ARTN 044908.
LAING CR, 2007, NONLINEARITY, V20, P2127, DOI 10.1088/0951-7715/20/9/007.
LARSON RG, 1985, J CHEM PHYS, V83, P2411.
LASO M, 1993, J NON-NEWTON FLUID, V47, P1.
LEE SL, 2007, J COMPUT APPL MATH, V201, P258, DOI 10.1016/j.cam.2006.02.018.
LEHOUCQ RB, 2001, INT J NUMER METH FL, V36, P309.
LI J, 1998, MATER RES SOC S P, V538, P473.
LI J, 1998, PHYS REV E, V57, P7259.
LI J, 2003, SIAM MMS, V1, P391.
LUST K, 1998, SIAM J SCI COMPUT, V19, P1188.
MAJDA AJ, 2001, COMMUN PUR APPL MATH, V54, P891.
MAKEEV AG, 2002, J CHEM PHYS, V116, P10083.
MAKEEV AG, 2002, J CHEM PHYS, V117, P8229, DOI 10.1063/1.1512274.
MANTEUFFEL T, 1993, SIAM J NUMER ANAL, V30, P790.
MOON SJ, 2007, J THEOR BIOL, V246, P100, DOI 10.1016/j.jtbi.2006.12.018.
MORI H, 1965, PROG THEOR PHYS SUPP, V33, P423.
NADLER B, 2006, ADV NEURAL INFORM PR, V18, P955.
NADLER B, 2006, APPL COMPUT HARMON A, V21, P113, DOI 10.1016/j.acha.2005.07.004.
ORTIZ M, 1999, ADV APPL MECH, V36, P1.
OTTINGER HC, 1996, STOCHASTIC PROCESSES.
OTTINGER HC, 1997, J NON-NEWTON FLUID, V70, P255.
PHILLIPS R, 2001, CRYSTALS DEFECTS MIC.
QIAO L, 2006, J CHEM PHYS, V125, ARTN 204108.
RICOMARTINEZ R, 2004, J COMPUT PHYS, V196, P474, DOI 10.1016/j.jcp.2003.11.005.
ROBERTS AJ, 2002, MATH COMPUT, V72, P247.
ROBERTS AJ, 2005, ANZIAM J, V46, C637.
ROBERTS AJ, 2007, SIAM J SCI COMPUT, V29, P1495, DOI 10.1137/060654554.
ROSLUND J, 2006, PHYS REV A, V74, ARTN 043414.
ROWLEY CW, 2000, PHYSICA D, V142, P1.
RUNBORG O, 2002, NONLINEARITY, V15, P491.
RYCKAERT JP, 1977, J COMPUT PHYS, V23, P327.
SAAD Y, 2003, ITERATIVE METHODS SP.
SAMAEY G, 2005, MULTISCALE MODEL SIM, V4, P278, DOI 10.1137/030602046.
SAMAEY G, 2006, J COMPUT PHYS, V213, P264, DOI 10.1016/j.jcp.2005.08.010.
SAMAEY G, 2006, MODEL REDUCTION COAR, P205.
SAMAEY G, 2008, BRIDGING SC IN PRESS.
SAMAEY G, 2008, COMPUT METHOD APPL M, V197, P3480, DOI 10.1016/j.cma.2007.11.033.
SAMAEY G, 2008, SIAM J NUMER A UNPUB.
SANKARANARAYANAN K, 1999, CHEM ENG SCI, V54, P4817.
SETAYESHGAR S, 2005, MULTISCALE MODEL SIM, V4, P307, DOI 10.1137/030600874.
SHARDLOW T, 2000, SIAM J NUMER ANAL, V37, P1120.
SHENOY VB, 1999, J MECH PHYS SOLIDS, V47, P611.
SHROFF GM, 1993, SIAM J NUMER ANAL, V30, P1099.
SHVARTSMAN SY, 1998, AICHE J, V44, P1579.
SHVARTSMAN SY, 2000, J PROCESS CONTR, V10, P177.
SIETTOS CI, 2003, AICHE J, V49, P1922.
SIETTOS CI, 2003, J CHEM PHYS, V118, P10149, DOI 10.1063/1.1572456.
SIMONCINI V, 2003, SIAM J SCI COMPUT, V25, P454, DOI 10.1137/S1064827502406415.
SIROVICH L, 1987, PHYS LETT A, V120, P211.
SMITH GS, 2001, ACTA MATER, V49, P4089.
SOMMEIJER BP, 1990, COMPUT MATH APPL, V19, P37.
SPOHN H, 1991, LARGE SCALE DYNAMICS.
SRIRAMAN S, 2005, J PHYS CHEM B, V109, P6479, DOI 10.1021/jp046448u.
SRIRAMAN S, 2005, PHYS REV LETT, V95, ARTN 130603.
SUCCI S, 2001, LATTICE BOLTZMANN EQ.
SZELL A, 2005, PHYS REV LETT, V95, ARTN 081102.
TAMMARO M, 1995, J CHEM PHYS, V103, P10277.
TENENBAUM JB, 2000, SCIENCE, V290, P2319.
THEODOROPOULOS C, 2000, P NATL ACAD SCI USA, V97, P9840.
THEODOROPOULOS C, 2001, P 3 PANH C CHEM ENG, P221.
THEODOROPOULOS C, 2004, CHEM ENG SCI, V59, P2357, DOI 10.1016/j.ces.2003.10.029.
TORRIE GM, 1974, CHEM PHYS LETT, V28, P578.
VANDEKERCKHOVE C, 2007, J COMPUT APPL MATH, V200, P761, DOI 10.1016/j.cam.2006.01.029.
VANDEKERCKHOVE C, 2008, J COMPUT APPL MATH, V211, P181, DOI 10.1016/j.cam.2006.11.010.
VANDEKERCKHOVE C, 2008, J SCI COMPU IN PRESS.
VANDENEIJNDEN E, 2003, COMMUN MATH SCI, V1, P377.
VANKAMPEN NG, 2007, STOCHASTIC PROCESSES.
VANLEEMPUT P, 2005, PHYSICA D, V210, P58, DOI 10.1016/j.physd.2005.06.033.
VANLEEMPUT P, 2007, MULTISCALE MODEL SIM, V6, P1234, DOI 10.1137/07069403X.
VINCENTI WG, 1965, INTRO PHYS GAS DYNAM.
XU K, 1994, J COMPUT PHYS, V114, P9.
XU K, 2001, J COMPUT PHYS, V171, P289.
YESILYURT S, 1995, COMPUT METHOD APPL M, V121, P231.
ZAGARIS A, 2008, MATH MOD NU IN PRESS.
ZAGARIS A, 2008, STABILITY STAB UNPUB.
ZWANZIG R, 1973, J STAT PHYS, V9, P215.
Cited Reference Count:
150
Times Cited:
0
Publisher:
ANNUAL REVIEWS; 4139 EL CAMINO WAY, PO BOX 10139, PALO ALTO, CA 94303-0139 USA
Subject Category:
Chemistry, Physical
ISSN:
0066-426X
DOI:
10.1146/annurev.physchem.59.032607.093610
IDS Number:
471PT
========================================================================
*Order Full Text*
All Customers
--------------
Please contact your library administrator, or person(s) responsible for
document delivery, to find out more about your organization's policy for
obtaining the full text of the above articles. If your organization does
not have a current document delivery provider, your administrator can
contact ISI Document Solution at service@isidoc.com, or call 800-603-4367
or 734-459-8565.
IDS Customers
--------------
IDS customers can purchase the full text of an article (having page number,
volume, and issue information) by returning this ENTIRE message as a Reply
to Sender or Forward to orders@isidoc.com. Mark your choices with an X in
the "Order Full Text: []" brackets for each item. For example, [X].
Please enter your account number here:
========================================================================
*Help Desk Contact Information*
If you have any questions, please visit the Thomson Scientific Technical Support Contact Information Web page:
http://www.thomsonscientific.com/support/techsupport
========================================================================
No comments:
Post a Comment