Statistical mechanics of nonequilibrium liquids:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
|
| Edition: | 2. ed. |
| Series: | Theoretical chemistry
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XII, 314 S. Ill., graph. Darst. |
| ISBN: | 9780521857918 9781107424531 |
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Record in the Search Index
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| adam_text | STATISTICAL MECHANICS OF NONEQUILIBRIUM LIQUIDS SECOND EDITION DENIS J.
EVANS RESEARCH SCHOOL OF CHEMISTRY, AUSTRALIAN NATIONAL UNIVERSITY,
CANBERRA GARY MORRISS SCHOOL OF PHYSICS, UNIVERSITY OF NEW SOUTH WALES,
SYDNEY CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE TO THE SECOND EDITION
PAGE IX PREFACE TO THE FIRST EDITION XI 1 INTRODUCTION 1 2 LINEAR
IRREVERSIBLE THERMODYNAMICS 11 2.1 THE CONSERVATION EQUATIONS 11 2.2
ENTROPY PRODUCTION 17 2.3 CURIE S THEOREM 20 2.4 NON-MARKOVIAN
CONSTITUTIVE RELATIONS: VISCOELASTICITY 27 3 THE MICROSCOPIC CONNECTION
33 3.1 CLASSICAL MECHANICS 33 3.2 PHASE SPACE 44 3.3 DISTRIBUTION
FUNCTIONS AND THE LIOUVILLE EQUATION 46 3.4 ERGODICITY, MIXING, AND
LYAPUNOV EXPONENTS 53 3.5 EQUILIBRIUM TIME-CORRELATION FUNCTIONS 59 3.6
OPERATOR IDENTITIES 62 3.7 THE IRVING-KIRKWOOD PROCEDURE 66 3.8
INSTANTANEOUS MICROSCOPIC REPRESENTATION OF FLUXES 68 3.9 MICROSCOPIC
REPRESENTATION OF THE TEMPERATURE 77 4 THE GREEN-KUBO RELATIONS 79 4.1
THE LANGEVIN EQUATION 79 4.2 MORI-ZWANZIG THEORY 83 4.3 SHEAR VISCOSITY
87 4.4 GREEN-KUBO RELATIONS FOR NAVIER-STOKES TRANSPORT COEFFICIENTS 92
5 LINEAR-RESPONSE THEORY 95 5.1 ADIABATIC LINEAR RESPONSE THEORY 95 5.2
THERMOSTATS AND EQUILIBRIUM DISTRIBUTION FUNCTIONS 100 VI CONTENTS 5.3
ISOTHERMAL LINEAR RESPONSE THEORY 111 5.4 THE EQUIVALENCE OF
THERMOSTATTED LINEAR RESPONSES 116 6 COMPUTER SIMULATION ALGORITHMS 119
6.1 INTRODUCTION 119 6.2 SELF DIFFUSION 125 6.3 COUETTE FLOW AND SHEAR
VISCOSITY 130 6.4 THERMOSTATTING SHEAR FLOWS 142 6.5 ELONGATIONAL FLOWS
146 6.6 THERMAL CONDUCTIVITY 150 6.7 NORTON ENSEMBLE METHODS 152 6.8
CONSTANT-PRESSURE ENSEMBLES 156 6.9 CONSTANT STRESS ENSEMBLES 160 7
NONLINEAR RESPONSE THEORY 167 7.1 KUBO S FORM FOR THE NONLINEAR RESPONSE
167 7.2 KAWASAKI DISTRIBUTION FUNCTION 169 7.3 THE TRANSIENT
TIME-CORRELATION FUNCTION FORMALISM 173 7.4 TRAJECTORY MAPPINGS 177 7.5
DIFFERENTIAL RESPONSE FUNCTIONS 185 7.6 THE VAN KAMPEN OBJECTION TO
LINEAR RESPONSE THEORY 193 7.7 TIME-DEPENDENT RESPONSE THEORY 200 8
DYNAMICAL STABILITY 209 8.1 INTRODUCTION 209 8.2 CHAOTIC DYNAMICAL
SYSTEMS 211 8.3 THE CHARACTERIZATION OF CHAOS 221 8.4 CHAOS IN PLANAR
COUETTE FLOW 230 8.5 CONJUGATE PAIRING OF LYAPUNOV EXPONENTS 238 8.6
PERIODIC ORBIT MEASURES 244 8.7 POSITIVITY OF TRANSPORT COEFFICIENTS 255
9 NONEQUILIBRIUM FLUCTUATIONS 259 9.1 INTRODUCTION 259 9.2 THE SPECIFIC
HEAT 260 9.3 THE COMPRESSIBILITY AND ISOBARIC SPECIFIC HEAT 265 9.4 THE
FLUCTUATION THEOREM 267 9.5 GALLAVOTTI AND COHEN FLUCTUATION THEOREM 274
9.6 THE JARZYNSKI EQUALITY 277 CONTENTS VII 9.7 THE CROOKS RELATION 280
9.8 EXPERIMENTAL VERIFICATION 282 10 THERMODYNAMICS OF STEADY STATES 283
10.1. THE THERMODYNAMIC TEMPERATURE 283 10.2 GREEN S EXPANSION FOR THE
ENTROPY 292 10.3 PROSPECTS 299 REFERENCES 301 INDEX 309
|
| adam_txt |
STATISTICAL MECHANICS OF NONEQUILIBRIUM LIQUIDS SECOND EDITION DENIS J.
EVANS RESEARCH SCHOOL OF CHEMISTRY, AUSTRALIAN NATIONAL UNIVERSITY,
CANBERRA GARY MORRISS SCHOOL OF PHYSICS, UNIVERSITY OF NEW SOUTH WALES,
SYDNEY CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE TO THE SECOND EDITION
PAGE IX PREFACE TO THE FIRST EDITION XI 1 INTRODUCTION 1 2 LINEAR
IRREVERSIBLE THERMODYNAMICS 11 2.1 THE CONSERVATION EQUATIONS 11 2.2
ENTROPY PRODUCTION 17 2.3 CURIE'S THEOREM 20 2.4 NON-MARKOVIAN
CONSTITUTIVE RELATIONS: VISCOELASTICITY 27 3 THE MICROSCOPIC CONNECTION
33 3.1 CLASSICAL MECHANICS 33 3.2 PHASE SPACE 44 3.3 DISTRIBUTION
FUNCTIONS AND THE LIOUVILLE EQUATION 46 3.4 ERGODICITY, MIXING, AND
LYAPUNOV EXPONENTS 53 3.5 EQUILIBRIUM TIME-CORRELATION FUNCTIONS 59 3.6
OPERATOR IDENTITIES 62 3.7 THE IRVING-KIRKWOOD PROCEDURE 66 3.8
INSTANTANEOUS MICROSCOPIC REPRESENTATION OF FLUXES 68 3.9 MICROSCOPIC
REPRESENTATION OF THE TEMPERATURE 77 4 THE GREEN-KUBO RELATIONS 79 4.1
THE LANGEVIN EQUATION 79 4.2 MORI-ZWANZIG THEORY 83 4.3 SHEAR VISCOSITY
87 4.4 GREEN-KUBO RELATIONS FOR NAVIER-STOKES TRANSPORT COEFFICIENTS 92
5 LINEAR-RESPONSE THEORY 95 5.1 ADIABATIC LINEAR RESPONSE THEORY 95 5.2
THERMOSTATS AND EQUILIBRIUM DISTRIBUTION FUNCTIONS 100 VI CONTENTS 5.3
ISOTHERMAL LINEAR RESPONSE THEORY 111 5.4 THE EQUIVALENCE OF
THERMOSTATTED LINEAR RESPONSES 116 6 COMPUTER SIMULATION ALGORITHMS 119
6.1 INTRODUCTION 119 6.2 SELF DIFFUSION 125 6.3 COUETTE FLOW AND SHEAR
VISCOSITY 130 6.4 THERMOSTATTING SHEAR FLOWS 142 6.5 ELONGATIONAL FLOWS
146 6.6 THERMAL CONDUCTIVITY 150 6.7 NORTON ENSEMBLE METHODS 152 6.8
CONSTANT-PRESSURE ENSEMBLES 156 6.9 CONSTANT STRESS ENSEMBLES 160 7
NONLINEAR RESPONSE THEORY 167 7.1 KUBO'S FORM FOR THE NONLINEAR RESPONSE
167 7.2 KAWASAKI DISTRIBUTION FUNCTION 169 7.3 THE TRANSIENT
TIME-CORRELATION FUNCTION FORMALISM 173 7.4 TRAJECTORY MAPPINGS 177 7.5
DIFFERENTIAL RESPONSE FUNCTIONS 185 7.6 THE VAN KAMPEN OBJECTION TO
LINEAR RESPONSE THEORY 193 7.7 TIME-DEPENDENT RESPONSE THEORY 200 8
DYNAMICAL STABILITY 209 8.1 INTRODUCTION 209 8.2 CHAOTIC DYNAMICAL
SYSTEMS 211 8.3 THE CHARACTERIZATION OF CHAOS 221 8.4 CHAOS IN PLANAR
COUETTE FLOW 230 8.5 CONJUGATE PAIRING OF LYAPUNOV EXPONENTS 238 8.6
PERIODIC ORBIT MEASURES 244 8.7 POSITIVITY OF TRANSPORT COEFFICIENTS 255
9 NONEQUILIBRIUM FLUCTUATIONS 259 9.1 INTRODUCTION 259 9.2 THE SPECIFIC
HEAT 260 9.3 THE COMPRESSIBILITY AND ISOBARIC SPECIFIC HEAT 265 9.4 THE
FLUCTUATION THEOREM 267 9.5 GALLAVOTTI AND COHEN FLUCTUATION THEOREM 274
9.6 THE JARZYNSKI EQUALITY 277 CONTENTS VII 9.7 THE CROOKS RELATION 280
9.8 EXPERIMENTAL VERIFICATION 282 10 THERMODYNAMICS OF STEADY STATES 283
10.1. THE THERMODYNAMIC TEMPERATURE 283 10.2 GREEN'S EXPANSION FOR THE
ENTROPY 292 10.3 PROSPECTS 299 REFERENCES 301 INDEX 309 |
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| discipline_str_mv | Physik |
| edition | 2. ed. |
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| id | DE-604.BV023325856 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:55:32Z |
| indexdate | 2024-07-09T21:15:56Z |
| institution | BVB |
| isbn | 9780521857918 9781107424531 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016509871 |
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| physical | XII, 314 S. Ill., graph. Darst. |
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| series2 | Theoretical chemistry |
| spelling | Evans, Denis J. 1951- Verfasser (DE-588)143178318 aut Statistical mechanics of nonequilibrium liquids Denis J. Evans ; Gary Morriss 2. ed. Cambridge [u.a.] Cambridge Univ. Press 2008 XII, 314 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Theoretical chemistry Literaturangaben Hier auch später erschienene, unveränderte Nachdrucke Liquids Computer simulation Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik (DE-588)4136220-2 gnd rswk-swf Nichtgleichgewicht (DE-588)4171730-2 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd rswk-swf Flüssigkeit (DE-588)4017621-6 gnd rswk-swf Flüssigkeit (DE-588)4017621-6 s Nichtgleichgewichtsstatistik (DE-588)4136220-2 s DE-604 Thermodynamik (DE-588)4059827-5 s Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 s Nichtgleichgewicht (DE-588)4171730-2 s Morriss, Gary P. Verfasser (DE-588)143178342 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016509871&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Evans, Denis J. 1951- Morriss, Gary P. Statistical mechanics of nonequilibrium liquids Liquids Computer simulation Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik (DE-588)4136220-2 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd Thermodynamik (DE-588)4059827-5 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd Flüssigkeit (DE-588)4017621-6 gnd |
| subject_GND | (DE-588)4136220-2 (DE-588)4171730-2 (DE-588)4059827-5 (DE-588)4130850-5 (DE-588)4017621-6 |
| title | Statistical mechanics of nonequilibrium liquids |
| title_auth | Statistical mechanics of nonequilibrium liquids |
| title_exact_search | Statistical mechanics of nonequilibrium liquids |
| title_exact_search_txtP | Statistical mechanics of nonequilibrium liquids |
| title_full | Statistical mechanics of nonequilibrium liquids Denis J. Evans ; Gary Morriss |
| title_fullStr | Statistical mechanics of nonequilibrium liquids Denis J. Evans ; Gary Morriss |
| title_full_unstemmed | Statistical mechanics of nonequilibrium liquids Denis J. Evans ; Gary Morriss |
| title_short | Statistical mechanics of nonequilibrium liquids |
| title_sort | statistical mechanics of nonequilibrium liquids |
| topic | Liquids Computer simulation Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik (DE-588)4136220-2 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd Thermodynamik (DE-588)4059827-5 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd Flüssigkeit (DE-588)4017621-6 gnd |
| topic_facet | Liquids Computer simulation Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik Nichtgleichgewicht Thermodynamik Nichtgleichgewichtsthermodynamik Flüssigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016509871&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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