Statistical physics: 2 Nonequilibrium statistical mechanics
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u. a.]
Springer
1991
|
| Edition: | 2. ed. |
| Series: | Springer series in solid-state sciences
31 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 279 S. |
| ISBN: | 354053833X 038753833X |
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MARC
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Record in the Search Index
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| adam_text | R. KUBO M. TODA N. HASHITSUME STATISTICAL PHYSICS II NONEQUILIBRIUM
STATISTICAL MECHANICS SECOND EDITION WITH 28 FIGURES SPRINGER-VERLAG
BERLIN HEIDELBERG NEW YORK LONDON PARIS TOKYO HONGKONG BARCELONA
BUDAPEST CONTENTS 1. BROWNIAN MOTION 1 1.1 BROWNIAN MOTION AS A
STOCHASTIC PROCESS 2 1.2 THE CENTRAL LIMIT THEOREM AND BROWNIAN MOTION 8
1.3 THE LANGEVIN EQUATION AND HARMONIE ANALYSIS 14 1.4 GAUSSIAN
PROCESSES 22 1.5 BROWNIAN MOTION MODELED BY A GAUSSIAN PROCESS 27 1.6
THE FLUCTUATION-DISSIPATION THEOREM 31 2. PHYSICAL PROCESSES AS
STOCHASTIC PROCESSES 40 2.1 RANDOM FREQUENCY MODULATION 40 2.2 BROWNIAN
MOTION REVISITED 48 2.3 MARKOVIAN PROCESSES 55 2.4 FOKKER-PLANCK
EQUATION 62 2.5 CONTRACTION OF INFORMATION. PROJECTED PROCESSES 69 2.6
DERIVATION OF MASTER EQUATIONS 77 2.7 BROWNIAN MOTION OF A QUANTAL
SYSTEM 84 2.8 BOLTZMANN EQUATION 90 2.9 GENERALIZED LANGEVIN EQUATION
AND THE DAMPING THEORY . . 97 3. RELAXATION AND RESONANCE ABSORPTION 109
3.1 LINEAR IRREVERSIBLE PROCESSES 109 3.1.1 MECHANICAL AND THERMAL
FORCES VS DISPLACEMENTS AND CURRENTS 110 3.1.2 LINEAR RELATIONS 110
3.1.3 RESPONSE TO A PULSED FORCE 112 3.1.4 RELAXATION PHENOMENA 114 3.2
COMPLEX ADMITTANCE 115 3.2.1 HARMONIE (FOURIER) ANALYSIS 116 3.2.2
ENERGY DISSIPATION 117 3.3 DEBYE RELAXATION 120 3.3.1 DIELECTRIC
RELAXATION 120 3.3.2 RESPONSE FUNCTIONS WITH EXPONENTIAL DAMPING . . . .
121 3.3.3 SOLUTION OF POLAR MOLECULES 123 3.4 RESONANCE ABSORPTION 125
3.4.1 VAN VLECK-WEISSKOPF-FROEHLICH TYPE RESONANCE ABSORPTION 126 XIV
CONTENTS 3.4.2 NUCLEAR MAGNETIC RESONANCE 128 3.4.3 FAILURE AT HIGH
FREQUENCIES 131 3.5 WAVE NUMBER-DEPENDENT COMPLEX ADMITTANCE 131 3.5.1
NON-MARKOVIAN NONLOCAL LINEAR RELATIONS 132 3.5.2 COMPLEX ADMITTANCE FOR
THE DIFFUSION PHENOMENON . . 134 3.6 DISPERSION RELATIONS 136 3.6.1
PROOF OF THE DISPERSION RELATIONS 136 3.6.2 DISPERSION RELATIONS AND
CAUSALITY 138 3.6.3 ANALYTICAL CONTINUATION INTO THE COMPLEX PLANE . . .
138 3.7 SUM RULES AND INTERPOLATION FORMULAS 139 3.7.1 MOMENT SUM RULES
140 3.7.2 NON-MARKOVIAN LAW OF DIFFUSION 143 4. STATISTICAL MECHANICS OF
LINEAR RESPONSE 146 4.1 STATIC RESPONSE TO EXTERNAL FORCE 146 4.1.1
STATIC ADMITTANCE AND THE CANONICAL CORRELATION . . . . 147 4.2 DYNAMIC
RESPONSE TO EXTERNAL FORCE 150 4.2.1 THE RESPONSE FUNCTION AND THE
POISSON BRACKET . . . . 150 4.2.2 KUBO FORMULA 154 4.2.3 INITIAL VALUES
OF THE RESPONSE FUNCTION AND ITS DERIVATIVES 158 4.3 SYMMETRY AND THE
DISPERSION RELATIONS 158 4.3.1 SPECTRAL FUNCTION AND ITS SYMMETRY 158
4.3.2 SYMMETRY IN THE CURRENT RESPONSE 162 4.3.3 SYMMETRY IN THE
DISPLACEMENT RESPONSE 163 4.3.4 PROOF OF THE DISPERSION RELATIONS 164
4.4 FLUCTUATION AND DISSIPATION THEOREM 167 4.4.1 SYMMETRIZED
CORRELATION 167 4.4.2 THE EQUIVALENCE BETWEEN THE SYMMETRIZED
CORRELATION FUNCTION AND THE RESPONSE OR THE RELAXATION FUNCTION . 168
4.4.3 FLUCTUATION-DISSIPATION THEOREM 170 4.5 DENSITY RESPONSE,
CONDUCTION AND DIFFUSION 171 4.5.1 DENSITY AND CURRENT IN RESPONSE TO
THE EXTERNAL FIELD 171 4.5.2 RELAXATION OF THE DENSITY RESPONSE AND THE
DENSITY FLUCTUATION 174 4.5.3 SHIELDING OF THE EXTERNAL POTENTIAL 176
4.5.4 RESISTIVITY FORMULA 178 4.5.5 DIELECTRIC SHIELDING AND ELECTRIC
CONDUCTIVITY 179 4.5.6 KRAMERS-KRONIG RELATIONS AND THE SUM RULES 181
4.6 RESPONSE TO THERMAL INTERNAL FORCES 183 4.6.1 ONSAGER S POSTULATE
184 4.6.2 FLUCTUATION OF MACROVARIABLES AS BROWNIAN MOTION . . . 185
4.6.3 A GENERAL FORMULATION OF ONSAGER S POSTULATE 187 4.6.4
NONEQUILIBRIUM DENSITY MATRIX 190 CONTENTS XV 4.7 SOME REMARKS ON THE
LINEAR-RESPONSE THEORY 196 4.7.1 THE KINETIC METHOD VERSUS THE
LINEAR-RESPONSE THEORY 196 4.7.2 VAN KAMPEN S OBJECTION 198 4.7.3
SPURIOUS SINGULARITIES AT THE ZERO VALUE OF THE EXTERNAL FIELD 199 4.7.4
SINGULARITIES AT K = 0, CO = 0 200 5. QUANTUM FIELD THEORETICAL METHODS
IN STATISTICAL MECHANICS . . . 203 5.1 DOUBLE-TIME GREEN S FUNCTIONS 203
5.1.1 RETARDED GREEN S FUNCTIONS 204 5.1.2 ADVANCED GREEN S FUNCTIONS
206 5.2 CHAIN OF EQUATIONS OF MOTION AND THE DECOUPLING APPROXIMATION
207 5.2.1 CHAIN OF EQUATIONS OF MOTION 208 5.2.2 COMPLEX DIELECTRIC
FUNCTION OF A PLASMA IN A DECOUPLING APPROXIMATION 210 5.3 RELATION TO
THE KINETIC EQUATION 216 5.3.1 KLIMONTOVICH OPERATOR 216 5.3.2
SELF-CONSISTENT FIELD APPROXIMATION 217 5.3.3 PLASMA OSCILLATION 220 5.4
SINGLE-PARTICLE GREEN S FUNCTION AND THE CAUSAL GREEN S FUNCTION 222
5.4.1 SINGLE-PARTICLE GREEN S FUNCTIONS 222 5.4.2 SINGLE-PARTICLE
GREEN S FUNCTIONS FOR FREE PARTICLES . . . 224 5.4.3 CAUSAL GREEN S
FUNCTIONS 225 5.5 BASIC FORMULA FOR PERTURBATIONAL EXPANSION 226 5.5.1
PERTURBATIONAL EXPANSION OF THE EQUILIBRIUM DENSITY MATRIX 227 5.5.2
PERTURBATIONAL EXPANSION OF THE THERMODYNAMIC POTENTIAL 228 5.6
TEMPERATURE GREEN S FUNCTION 229 5.6.1 TEMPERATURE GREEN S FUNCTIONS
(MATSUBARA-GREEN S FUNCTIONS) 229 5.6.2 FOURIER ANALYSIS OF THE
TEMPERATURE GREEN S FUNCTION . 230 5.6.3 SINGLE-PARTICLE TEMPERATURE
GREEN S FUNCTION FOR NONINTERACTING PARTICLES 232 5.6.4
ABRIKOSOV-GOR KOV-DZYALOSHINSKII-FRADKIN THEOREM . 233 5.7 DIAGRAM
TECHNIQUE 235 5.7.1 BLOCH-DE DOMINICIS THEOREM 235 5.7.2 PERTURBATIONAL
EXPANSION OF ^09) 0 238 5.7.3 CORRESPONDENCE WITH FEYNMAN DIAGRAMS 240
5.7.4 MATSUBARA FORMULA 242 5.8 DYSON EQUATION 244 5.8.1 SINGLE-PARTICLE
TEMPERATURE GREEN S FUNCTION 244 XVI CONTENTS 5.8.2 GRAPHICAL SUMMATION
246 5.8.3 FEYNMAN RULES 248 5.9 RELATIONSHIP BETWEEN THE THERMODYNAMIC
POTENTIAL AND THE TEMPERATURE GREEN S FUNCTION 253 5.10 SPECIAL CASE OF
THE TWO-PARTICLE GREEN S FUNCTION 255 5.10.1 TWO-PARTICLE GREEN S
FUNCTION OF ZEROTH-ORDER FOR A PLASMA 257 5.10.2 POLARIZATION OPERATOR
258 5.10.3 ELECTRIC CHARGE DENSITY GREEN S FUNCTION 260 GENERAL
BIBLIOGRAPHY OF TEXTBOOKS 265 REFERENCES 266 SUBJECT INDEX 271
|
| any_adam_object | 1 |
| author | Kubo, Ryogo Toda, Morikazu Hashitsume, Natsuki |
| author_facet | Kubo, Ryogo Toda, Morikazu Hashitsume, Natsuki |
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| author_sort | Kubo, Ryogo |
| author_variant | r k rk m t mt n h nh |
| building | Verbundindex |
| bvnumber | BV025767564 |
| ctrlnum | (OCoLC)58583843 (DE-599)BVBBV025767564 |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV025767564 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:18:53Z |
| institution | BVB |
| isbn | 354053833X 038753833X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019371896 |
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| owner_facet | DE-11 DE-188 |
| physical | XVI, 279 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in solid-state sciences |
| series2 | Springer series in solid-state sciences Springer series in solid-state science |
| spelling | Kubo, Ryogo Verfasser aut Tokei-butsurigaku Statistical physics 2 Nonequilibrium statistical mechanics R. Kubo ; M. Toda ; N. Hashitsume 2. ed. Berlin [u. a.] Springer 1991 XVI, 279 S. txt rdacontent n rdamedia nc rdacarrier Springer series in solid-state sciences 31 Springer series in solid-state science ... Toda, Morikazu Verfasser aut Hashitsume, Natsuki Verfasser aut (DE-604)BV024787633 2 Springer series in solid-state sciences 31 (DE-604)BV000016582 31 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019371896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kubo, Ryogo Toda, Morikazu Hashitsume, Natsuki Statistical physics Springer series in solid-state sciences |
| title | Statistical physics |
| title_alt | Tokei-butsurigaku |
| title_auth | Statistical physics |
| title_exact_search | Statistical physics |
| title_full | Statistical physics 2 Nonequilibrium statistical mechanics R. Kubo ; M. Toda ; N. Hashitsume |
| title_fullStr | Statistical physics 2 Nonequilibrium statistical mechanics R. Kubo ; M. Toda ; N. Hashitsume |
| title_full_unstemmed | Statistical physics 2 Nonequilibrium statistical mechanics R. Kubo ; M. Toda ; N. Hashitsume |
| title_short | Statistical physics |
| title_sort | statistical physics nonequilibrium statistical mechanics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019371896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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