Nonequilibrium statistical mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
WILEY-VCH
2008
|
| Ausgabe: | 1. reprint |
| Schriftenreihe: | Physics textbook
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII , 478 S. Ill., graph. Darst. |
| ISBN: | 3527406484 9783527406487 |
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Datensatz im Suchindex
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| adam_text | GENE F. MAZENKO NONEQUILIBRIUM STATISTICAL MECHANICS WILEY- VCH
WILEY-VCH VERLAG GMBH & CO. KGAA CONTENTS 1 SYSTEMS OUT OF EQUILIBRIUM 1
1.1 PROBLEMS OF INTEREST 2 1.2 BROWNIAN MOTION 6 1.2.1 FLUCTUATIONS IN
EQUILIBRIUM 6 1.2.2 RESPONSE TO APPLIED FORCES 13 1.3 REFERENCES AND
NOTES 25 1.4 PROBLEMS FOR CHAPTER 1 26 2 TIME-DEPENDENT PHENOMENA IN
CONDENSED-MATTER SYSTEMS 2.1 LINEAR RESPONSE THEORY 19 2.1.1 GENERAL
COMMENTS 19 2.1.2 LINEAR RESPONSE FORMALISM 19 2.1.3 TIME-TRANSLATIONAL
INVARIANCE 27 2.1 A VECTOR OPERATORS 29 2.1.5 EXAMPLE: THE ELECTRICAL
CONDUCTIVITY 29 2.1.6 EXAMPLE: MAGNETIC RESONANCE 32 2.1.7 EXAMPLE:
RELAXATION FROM CONSTRAINED EQUILIBRIUM 37 2.1.8 FIELD OPERATORS 40
2.1.9 IDENTIFICATION OF COUPLINGS 42 2.2 SCATTERING EXPERIMENTS 42 2.2.1
INELASTIC NEUTRON SCATTERING FROM A FLUID 42 2.2.2 ELECTRON SCATTERING
49 2.2.3 NEUTRON SCATTERING: A MORE CAREFUL ANALYSIS 50 2.2.4 MAGNETIC
NEUTRON SCATTERING 52 2.2.5 X-RAY AND LIGHT SCATTERING 55 2.2.6 SUMMARY
OF SCATTERING EXPERIMENTS 57 2.3 REFERENCES AND NOTES 58 2.4 PROBLEMS
FOR CHAPTER 2 59 NONEQUILIBRIUM STATISTICAL MECHANICS. GENE F. MAZENKO
COPYRIGHT 2006 WILEY-VCH VERLAG GMBH & CO. KGAA, WEINHEIM ISBN:
3-527-40648-4 VI CONTENTS 3 GENERAL PROPERTIES OF TIME-CORRELATION
FUNCTIONS 63 3.1 FLUCTUATION-DISSIPATION THEOREM 63 3.2 SYMMETRY
PROPERTIES OF CORRELATION FUNCTIONS 67 3.3 ANALYTIC PROPERTIES OF
RESPONSE FUNCTIONS 70 3.4 SYMMETRIES OF THE COMPLEX RESPONSE FUNCTION 73
3.5 THE HARMONIE OSCILLATOR 75 3.6 THE RELAXATION FUNCTION 77 3.7
SUMMARY OF CORRELATION FUNCTIONS 81 3.8 THE CLASSICAL LIMIT 81 3.9
EXAMPLE: THE ELECTRICAL CONDUCTIVITY 83 3.10 NYQUIST THEOREM 85 3.11
DISSIPATION 87 3.12 STATIC SUSCEPTIBILITY (AGAIN) 89 3.13 SUM RULES 91
3.14 REFERENCES AND NOTES 96 3.15 PROBLEMS FOR CHAPTER 3 96 4 CHARGED
TRANSPORT 101 4.1 INTRODUCTION 201 4.2 THE EQUILIBRIUM SITUATION 101 4.3
THE NONEQUILIBRIUM CASE 104 4.3.1 SETTING UP THE PROBLEM 204 4.3.2
LINEAR RESPONSE 206 4.4 THE MACROSCOPIC MAXWELL EQUATIONS 223 4.5 THE
DRUDE MODEL 226 4.5.1 BASIS FOR MODEL 226 4.5.2 CONDUCTIVITY AND
DIELECTRIC FUNCTION 228 4.5.3 THE CURRENT CORRELATION FUNCTION 229 4.6
REFERENCES AND NOTES 220 4.7 PROBLEMS FOR CHAPTER 4 222 5 LINEARIZED
LANGEVIN AND HYDRODYNAMICAL DESCRIPTION OF TIME-CORRELATION FUNCTIONS
123 5.1 INTRODUCTION 223 5.2 SPIN DIFFUSION IN ITINERANT PARAMAGNETS 224
5.2.1 CONTINUITY EQUATION 224 5.2.2 CONSTITUTIVE RELATION 226 5.2.3
HYDRODYNAMIC FORM FOR CORRELATION FUNCTIONS 128 5.2.4 GREEN-KUBO FORMULA
230 5.3 LANGEVIN EQUATION APPROACH TO THE THEORY OF IRREVERSIBLE
PROCESSES 234 5.3.1 CHOICE OF VARIABLES 234 5.3.2 EQUATIONS OF MOTION
134 5.3.3 EXAMPLE: HEISENBERG FERROMAGNET 236 5.3.4 EXAMPLE: CLASSICAL
FLUID 138 5.3.5 SUMMARY 242 5.3.6 GENERALIZED LANGEVIN EQUATION 242
5.3.7 MEMORY-FUNCTION FORMALISM 244 5.3.8 MEMORY-FUNCTION FORMALISM:
SUMMARY 247 5.3.9 SECOND FLUCTUATION-DISSIPATION THEOREM 247 5.4
EXAMPLE: THE HARMONIE OSCILLATOR 249 5.5 THEOREM SATISFIED BY THE STATIC
PART OF THE MEMORY FUNCTION 5.6 SEPARATION OF TIME SCALES: THE MARKOFF
APPROXIMATION 255 5.7 EXAMPLE: BROWNIAN MOTION 256 5.8 THE PLATEAU-VALUE
PROBLEM 258 5.9 EXAMPLE: HYDRODYNAMIC BEHAVIOR; SPIN-DIFFUSION REVISITED
5.10 ESTIMATING THE SPIN-DIFFUSION COEFFICIENT 265 5.11 REFERENCES AND
NOTES 270 5.12 PROBLEMS FOR CHAPTER 5 272 6 HYDRODYNAMIC SPECTRUM OF
NORMAL FLUIDS 175 6.1 INTRODUCTION 275 6.2 SELECTION OF SLOW VARIABLES
275 6.3 STATIC STRUCTURE FACTOR 277 6.4 STATIC PART OF THE MEMORY
FUNCTION 282 6.5 SPECTRUM OF FLUCTUATIONS WITH NO DAMPING 188 6.6
DYNAMIC PART OF THE MEMORY FUNCTION 292 6.7 TRANSVERSE MODES 292 6.8
LONGITUDINAL MODES 294 6.9 FLUCTUATION SPECTRUM INCLUDING DAMPING 296
6.10 REFERENCES AND NOTES 202 6.11 PROBLEMS FOR CHAPTER 6 203 7 KINETIC
THEORY 205 7.1 INTRODUCTION 205 7.2 BOLTZMANN EQUATION 206 7.2.1 IDEAL
GAS LAW 206 7.2.2 MEAN-FREE PATH 220 7.2.3 BOLTZMANN EQUATION:
KINEMATICS 223 7.2.4 BOLTZMANN COLLISION INTEGRAL 225 7.2.5 COLLISIONAL
INVARIANTS 229 7.2.6 APPROACH TO EQUILIBRIUM 222 7.2.7 LINEARIZED
BOLTZMANN COLLISION INTEGRAL 223 7.2.8 KINETIC MODELS 225 VIII CONTENTS
7.2.9 SINGLE-RELAXATION-TIME APPROXIMATION 228 7.2.10 STEADY-STATE
SOLUTIONS 231 7.3 TRADITIONAL TRANSPORT THEORY 233 7.3.1 STEADY-STATE
CURRENTS 233 7.3.2 THERMAL GRADIENTS 237 7.3.3 SHEAR VISCOSITY 241 7.3.4
HALL EFFECT 244 7A MODERN KINETIC THEORY 246 7.4.1 COLLISIONLESS THEORY
250 7.4.2 NONINTERACTING GAS 252 7.4.3 VLASOV APPROXIMATION 253 7.4.4
DYNAMIC PART OF MEMORY FUNCTION 256 7.4.5 APPROXIMATIONS 257 7.4.6
TRANSPORT COEFFICIENTS 260 7.5 REFERENCES AND NOTES 265 7.6 PROBLEMS FOR
CHAPTER 7 266 8 CRITICAL PHENOMENA AND BROKEN SYMMETRY 271 8.1 DYNAMIC
CRITICAL PHENOMENA 272 8.1.1 ORDER PARAMETER AS A SLOW VARIABLE 271
8.1.2 EXAMPLES OF ORDER PARAMETERS 273 8.1.3 CRITICAL INDICES AND
UNIVERSALITY 277 8.1.4 THE SCALING HYPOTHESIS 277 8.1.5 CONVENTIONAL
APPROXIMATION 279 8.2 MORE ON SLOW VARIABLES 283 8.3 SPONTANEOUS
SYMMETRY BREAKING AND NAMBU-GOLDSTONE MODES 285 8.4 THE ISOTROPIE
FERROMAGNET 286 8.5 ISOTROPIE ANTIFERROMAGNET 290 8.6 SUMMARY 295 8.7
REFERENCES AND NOTES 295 8.8 PROBLEMS FOR CHAPTER 8 296 9 NONLINEAR
SYSTEMS 299 9.1 HISTORICAL BACKGROUND 299 9.2 MOTIVATION 301 9.3
COARSE-GRAINED VARIABLES AND EFFECTIVE HAMILTONIANS 302 9.4 NONLINEAR
COARSE-GRAINED EQUATIONS OF MOTION 306 9.4.1 GENERALIZATION OF LANGEVIN
EQUATION 306 9.4.2 STREAMING VELOCITY 307 9 A3 DAMPING MATRIX 310 9.4.4
GENERALIZED FOKKER-PLANCK EQUATION 311 CONTENTS IX 9.4.5 NONLINEAR
LANGEVIN EQUATION 312 9.5 DISCUSSION OF THE NOISE 314 9.5.1 GENERAL
DISCUSSION 324 9.5.2 GAUSSIAN NOISE 314 9.5.3 SECOND
FLUCTUATION-DISSIPATION THEOREM 325 9.6 SUMMARY 326 9.7 EXAMPLES OF
NONLINEAR MODELS 327 9.7.1 TDGL MODELS 327 9.7.2 ISOTROPIE MAGNETS 320
9.7.3 FLUIDS 322 9.8 DETERMINATION OF CORRELATION FUNCTIONS 326 9.8.1
FORMAL ARRANGEMENTS 326 9.8.2 LINEARIZED THEORY 329 9.8.3 MODE-COUPLING
APPROXIMATION 329 9.8.4 LONG-TIME TAILS IN FLUIDS 330 9.9 MODE COUPLING
AND THE GLASS TRANSITION 335 9.10 MODE COUPLING AND DYNAMIC CRITICAL
PHENOMENA 336 9.11 REFERENCES AND NOTES 336 9.12 PROBLEMS FOR CHAPTER 9
338 10 PERTURBATION THEORY AND THE DYNAMIC RENORMALIZATION GROUP 343
10.1 PERTURBATION THEORY 343 10.1.1 TDGL MODEL 343 10.1.2 ZEROTH-ORDER
THEORY 344 10.1.3 BARE PERTURBATION THEORY 345 10.1.4
FLUCTUATION-DISSIPATION THEOREM 349 10.1.5 STATIC LIMIT 352 10.1.6
TEMPERATURE RENORMALIZATION 356 10.1.7 SELF-CONSISTENT HARTREE
APPROXIMATION 360 10.1.8 DYNAMIC RENORMALIZATION 362 10.2 PERTURBATION
THEORY FOR THE ISOTROPIE FERROMAGNET 369 10.2.1 EQUATION OF MOTION 369
10.2.2 GRAPHICAL EXPANSION 370 10.2.3 SECOND ORDER IN PERTURBATION
THEORY 374 10.3 THE DYNAMIC RENORMALIZATION GROUP 379 10.3.1 GROUP
STRUCTURE 379 10.3.2 TDGLCASE 380 10.3.3 SCALING RESULTS 388 10.3.4
WILSON MATCHING 390 10.3.5 ISOTROPIE FERROMAGNET 392 10.4 FINAL REMARKS
399 10.5 REFERENCES AND NOTES 399 X CONTENTS 10.6 PROBLEMS FOR CHAPTER
10 400 11 UNSTABLE GROWTH 403 11.1 INTRODUCTION 403 11.2 LANGEVIN
EQUATION DESCRIPTION 407 11.3 OFF-CRITICAL QUENCHES 411 IIA NUCLEATION
423 11.5 OBSERVABLES OF INTEREST IN PHASE-ORDERING SYSTEMS 416 11.6
CONSEQUENCES OF SHARP INTERFACES 418 11.7 INTERFACIAL MOTION 420 11.8
SCALING 423 11.9 THEORETICAL DEVELOPMENTS 425 11.9.1 LINEAR THEORY 425
11.9.2 MEAN-FIELD THEORY 426 11.9.3 AUXILIARY FIELD METHODS 428 11.9.4
AUXILIARY FIELD DYNAMICS 432 11.9.5 THE ORDER PARAMETER CORRELATION
FUNCTION 435 11.9.6 EXTENSION TO N-VECTOR MODEL 437 11.10 DEFECT
DYNAMICS 439 11.11 PATTERN FORMING SYSTEMS 445 11.12 REFERENCES AND
NOTES 446 11.13 PROBLEMS FOR CHAPTER 11 450 APPENDICES A TIME-REVERSAL
SYMMETRY 455 B FLUID POISSON BRACKET RELATIONS 461 C EQUILIBRIUM AVERAGE
OF THE PHASE-SPACE DENSITY 463 D MAGNETIC POISSON BRACKET RELATIONS 465
E NOISE AND THE NONLINEAR LANGEVIN EQUATION 467 INDEX 471
|
| adam_txt |
GENE F. MAZENKO NONEQUILIBRIUM STATISTICAL MECHANICS WILEY- VCH
WILEY-VCH VERLAG GMBH & CO. KGAA CONTENTS 1 SYSTEMS OUT OF EQUILIBRIUM 1
1.1 PROBLEMS OF INTEREST 2 1.2 BROWNIAN MOTION 6 1.2.1 FLUCTUATIONS IN
EQUILIBRIUM 6 1.2.2 RESPONSE TO APPLIED FORCES 13 1.3 REFERENCES AND
NOTES 25 1.4 PROBLEMS FOR CHAPTER 1 26 2 TIME-DEPENDENT PHENOMENA IN
CONDENSED-MATTER SYSTEMS 2.1 LINEAR RESPONSE THEORY 19 2.1.1 GENERAL
COMMENTS 19 2.1.2 LINEAR RESPONSE FORMALISM 19 2.1.3 TIME-TRANSLATIONAL
INVARIANCE 27 2.1 A VECTOR OPERATORS 29 2.1.5 EXAMPLE: THE ELECTRICAL
CONDUCTIVITY 29 2.1.6 EXAMPLE: MAGNETIC RESONANCE 32 2.1.7 EXAMPLE:
RELAXATION FROM CONSTRAINED EQUILIBRIUM 37 2.1.8 FIELD OPERATORS 40
2.1.9 IDENTIFICATION OF COUPLINGS 42 2.2 SCATTERING EXPERIMENTS 42 2.2.1
INELASTIC NEUTRON SCATTERING FROM A FLUID 42 2.2.2 ELECTRON SCATTERING
49 2.2.3 NEUTRON SCATTERING: A MORE CAREFUL ANALYSIS 50 2.2.4 MAGNETIC
NEUTRON SCATTERING 52 2.2.5 X-RAY AND LIGHT SCATTERING 55 2.2.6 SUMMARY
OF SCATTERING EXPERIMENTS 57 2.3 REFERENCES AND NOTES 58 2.4 PROBLEMS
FOR CHAPTER 2 59 NONEQUILIBRIUM STATISTICAL MECHANICS. GENE F. MAZENKO
COPYRIGHT 2006 WILEY-VCH VERLAG GMBH & CO. KGAA, WEINHEIM ISBN:
3-527-40648-4 VI CONTENTS 3 GENERAL PROPERTIES OF TIME-CORRELATION
FUNCTIONS 63 3.1 FLUCTUATION-DISSIPATION THEOREM 63 3.2 SYMMETRY
PROPERTIES OF CORRELATION FUNCTIONS 67 3.3 ANALYTIC PROPERTIES OF
RESPONSE FUNCTIONS 70 3.4 SYMMETRIES OF THE COMPLEX RESPONSE FUNCTION 73
3.5 THE HARMONIE OSCILLATOR 75 3.6 THE RELAXATION FUNCTION 77 3.7
SUMMARY OF CORRELATION FUNCTIONS 81 3.8 THE CLASSICAL LIMIT 81 3.9
EXAMPLE: THE ELECTRICAL CONDUCTIVITY 83 3.10 NYQUIST THEOREM 85 3.11
DISSIPATION 87 3.12 STATIC SUSCEPTIBILITY (AGAIN) 89 3.13 SUM RULES 91
3.14 REFERENCES AND NOTES 96 3.15 PROBLEMS FOR CHAPTER 3 96 4 CHARGED
TRANSPORT 101 4.1 INTRODUCTION 201 4.2 THE EQUILIBRIUM SITUATION 101 4.3
THE NONEQUILIBRIUM CASE 104 4.3.1 SETTING UP THE PROBLEM 204 4.3.2
LINEAR RESPONSE 206 4.4 THE MACROSCOPIC MAXWELL EQUATIONS 223 4.5 THE
DRUDE MODEL 226 4.5.1 BASIS FOR MODEL 226 4.5.2 CONDUCTIVITY AND
DIELECTRIC FUNCTION 228 4.5.3 THE CURRENT CORRELATION FUNCTION 229 4.6
REFERENCES AND NOTES 220 4.7 PROBLEMS FOR CHAPTER 4 222 5 LINEARIZED
LANGEVIN AND HYDRODYNAMICAL DESCRIPTION OF TIME-CORRELATION FUNCTIONS
123 5.1 INTRODUCTION 223 5.2 SPIN DIFFUSION IN ITINERANT PARAMAGNETS 224
5.2.1 CONTINUITY EQUATION 224 5.2.2 CONSTITUTIVE RELATION 226 5.2.3
HYDRODYNAMIC FORM FOR CORRELATION FUNCTIONS 128 5.2.4 GREEN-KUBO FORMULA
230 5.3 LANGEVIN EQUATION APPROACH TO THE THEORY OF IRREVERSIBLE
PROCESSES 234 5.3.1 CHOICE OF VARIABLES 234 5.3.2 EQUATIONS OF MOTION
134 5.3.3 EXAMPLE: HEISENBERG FERROMAGNET 236 5.3.4 EXAMPLE: CLASSICAL
FLUID 138 5.3.5 SUMMARY 242 5.3.6 GENERALIZED LANGEVIN EQUATION 242
5.3.7 MEMORY-FUNCTION FORMALISM 244 5.3.8 MEMORY-FUNCTION FORMALISM:
SUMMARY 247 5.3.9 SECOND FLUCTUATION-DISSIPATION THEOREM 247 5.4
EXAMPLE: THE HARMONIE OSCILLATOR 249 5.5 THEOREM SATISFIED BY THE STATIC
PART OF THE MEMORY FUNCTION 5.6 SEPARATION OF TIME SCALES: THE MARKOFF
APPROXIMATION 255 5.7 EXAMPLE: BROWNIAN MOTION 256 5.8 THE PLATEAU-VALUE
PROBLEM 258 5.9 EXAMPLE: HYDRODYNAMIC BEHAVIOR; SPIN-DIFFUSION REVISITED
5.10 ESTIMATING THE SPIN-DIFFUSION COEFFICIENT 265 5.11 REFERENCES AND
NOTES 270 5.12 PROBLEMS FOR CHAPTER 5 272 6 HYDRODYNAMIC SPECTRUM OF
NORMAL FLUIDS 175 6.1 INTRODUCTION 275 6.2 SELECTION OF SLOW VARIABLES
275 6.3 STATIC STRUCTURE FACTOR 277 6.4 STATIC PART OF THE MEMORY
FUNCTION 282 6.5 SPECTRUM OF FLUCTUATIONS WITH NO DAMPING 188 6.6
DYNAMIC PART OF THE MEMORY FUNCTION 292 6.7 TRANSVERSE MODES 292 6.8
LONGITUDINAL MODES 294 6.9 FLUCTUATION SPECTRUM INCLUDING DAMPING 296
6.10 REFERENCES AND NOTES 202 6.11 PROBLEMS FOR CHAPTER 6 203 7 KINETIC
THEORY 205 7.1 INTRODUCTION 205 7.2 BOLTZMANN EQUATION 206 7.2.1 IDEAL
GAS LAW 206 7.2.2 MEAN-FREE PATH 220 7.2.3 BOLTZMANN EQUATION:
KINEMATICS 223 7.2.4 BOLTZMANN COLLISION INTEGRAL 225 7.2.5 COLLISIONAL
INVARIANTS 229 7.2.6 APPROACH TO EQUILIBRIUM 222 7.2.7 LINEARIZED
BOLTZMANN COLLISION INTEGRAL 223 7.2.8 KINETIC MODELS 225 VIII CONTENTS
7.2.9 SINGLE-RELAXATION-TIME APPROXIMATION 228 7.2.10 STEADY-STATE
SOLUTIONS 231 7.3 TRADITIONAL TRANSPORT THEORY 233 7.3.1 STEADY-STATE
CURRENTS 233 7.3.2 THERMAL GRADIENTS 237 7.3.3 SHEAR VISCOSITY 241 7.3.4
HALL EFFECT 244 7A MODERN KINETIC THEORY 246 7.4.1 COLLISIONLESS THEORY
250 7.4.2 NONINTERACTING GAS 252 7.4.3 VLASOV APPROXIMATION 253 7.4.4
DYNAMIC PART OF MEMORY FUNCTION 256 7.4.5 APPROXIMATIONS 257 7.4.6
TRANSPORT COEFFICIENTS 260 7.5 REFERENCES AND NOTES 265 7.6 PROBLEMS FOR
CHAPTER 7 266 8 CRITICAL PHENOMENA AND BROKEN SYMMETRY 271 8.1 DYNAMIC
CRITICAL PHENOMENA 272 8.1.1 ORDER PARAMETER AS A SLOW VARIABLE 271
8.1.2 EXAMPLES OF ORDER PARAMETERS 273 8.1.3 CRITICAL INDICES AND
UNIVERSALITY 277 8.1.4 THE SCALING HYPOTHESIS 277 8.1.5 CONVENTIONAL
APPROXIMATION 279 8.2 MORE ON SLOW VARIABLES 283 8.3 SPONTANEOUS
SYMMETRY BREAKING AND NAMBU-GOLDSTONE MODES 285 8.4 THE ISOTROPIE
FERROMAGNET 286 8.5 ISOTROPIE ANTIFERROMAGNET 290 8.6 SUMMARY 295 8.7
REFERENCES AND NOTES 295 8.8 PROBLEMS FOR CHAPTER 8 296 9 NONLINEAR
SYSTEMS 299 9.1 HISTORICAL BACKGROUND 299 9.2 MOTIVATION 301 9.3
COARSE-GRAINED VARIABLES AND EFFECTIVE HAMILTONIANS 302 9.4 NONLINEAR
COARSE-GRAINED EQUATIONS OF MOTION 306 9.4.1 GENERALIZATION OF LANGEVIN
EQUATION 306 9.4.2 STREAMING VELOCITY 307 9 A3 DAMPING MATRIX 310 9.4.4
GENERALIZED FOKKER-PLANCK EQUATION 311 CONTENTS IX 9.4.5 NONLINEAR
LANGEVIN EQUATION 312 9.5 DISCUSSION OF THE NOISE 314 9.5.1 GENERAL
DISCUSSION 324 9.5.2 GAUSSIAN NOISE 314 9.5.3 SECOND
FLUCTUATION-DISSIPATION THEOREM 325 9.6 SUMMARY 326 9.7 EXAMPLES OF
NONLINEAR MODELS 327 9.7.1 TDGL MODELS 327 9.7.2 ISOTROPIE MAGNETS 320
9.7.3 FLUIDS 322 9.8 DETERMINATION OF CORRELATION FUNCTIONS 326 9.8.1
FORMAL ARRANGEMENTS 326 9.8.2 LINEARIZED THEORY 329 9.8.3 MODE-COUPLING
APPROXIMATION 329 9.8.4 LONG-TIME TAILS IN FLUIDS 330 9.9 MODE COUPLING
AND THE GLASS TRANSITION 335 9.10 MODE COUPLING AND DYNAMIC CRITICAL
PHENOMENA 336 9.11 REFERENCES AND NOTES 336 9.12 PROBLEMS FOR CHAPTER 9
338 10 PERTURBATION THEORY AND THE DYNAMIC RENORMALIZATION GROUP 343
10.1 PERTURBATION THEORY 343 10.1.1 TDGL MODEL 343 10.1.2 ZEROTH-ORDER
THEORY 344 10.1.3 BARE PERTURBATION THEORY 345 10.1.4
FLUCTUATION-DISSIPATION THEOREM 349 10.1.5 STATIC LIMIT 352 10.1.6
TEMPERATURE RENORMALIZATION 356 10.1.7 SELF-CONSISTENT HARTREE
APPROXIMATION 360 10.1.8 DYNAMIC RENORMALIZATION 362 10.2 PERTURBATION
THEORY FOR THE ISOTROPIE FERROMAGNET 369 10.2.1 EQUATION OF MOTION 369
10.2.2 GRAPHICAL EXPANSION 370 10.2.3 SECOND ORDER IN PERTURBATION
THEORY 374 10.3 THE DYNAMIC RENORMALIZATION GROUP 379 10.3.1 GROUP
STRUCTURE 379 10.3.2 TDGLCASE 380 10.3.3 SCALING RESULTS 388 10.3.4
WILSON MATCHING 390 10.3.5 ISOTROPIE FERROMAGNET 392 10.4 FINAL REMARKS
399 10.5 REFERENCES AND NOTES 399 X CONTENTS 10.6 PROBLEMS FOR CHAPTER
10 400 11 UNSTABLE GROWTH 403 11.1 INTRODUCTION 403 11.2 LANGEVIN
EQUATION DESCRIPTION 407 11.3 OFF-CRITICAL QUENCHES 411 IIA NUCLEATION
423 11.5 OBSERVABLES OF INTEREST IN PHASE-ORDERING SYSTEMS 416 11.6
CONSEQUENCES OF SHARP INTERFACES 418 11.7 INTERFACIAL MOTION 420 11.8
SCALING 423 11.9 THEORETICAL DEVELOPMENTS 425 11.9.1 LINEAR THEORY 425
11.9.2 MEAN-FIELD THEORY 426 11.9.3 AUXILIARY FIELD METHODS 428 11.9.4
AUXILIARY FIELD DYNAMICS 432 11.9.5 THE ORDER PARAMETER CORRELATION
FUNCTION 435 11.9.6 EXTENSION TO N-VECTOR MODEL 437 11.10 DEFECT
DYNAMICS 439 11.11 PATTERN FORMING SYSTEMS 445 11.12 REFERENCES AND
NOTES 446 11.13 PROBLEMS FOR CHAPTER 11 450 APPENDICES A TIME-REVERSAL
SYMMETRY 455 B FLUID POISSON BRACKET RELATIONS 461 C EQUILIBRIUM AVERAGE
OF THE PHASE-SPACE DENSITY 463 D MAGNETIC POISSON BRACKET RELATIONS 465
E NOISE AND THE NONLINEAR LANGEVIN EQUATION 467 INDEX 471 |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV023474578 |
| illustrated | Illustrated |
| index_date | 2024-07-02T21:35:41Z |
| indexdate | 2024-07-09T21:19:36Z |
| institution | BVB |
| isbn | 3527406484 9783527406487 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016656848 |
| oclc_num | 254817671 |
| open_access_boolean | |
| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | XIII , 478 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | WILEY-VCH |
| record_format | marc |
| series2 | Physics textbook |
| spelling | Mazenko, Gene F. Verfasser (DE-588)132171201 aut Nonequilibrium statistical mechanics Gene F. Mazenko 1. reprint Weinheim WILEY-VCH 2008 XIII , 478 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physics textbook Nichtgleichgewichtsstatistik - Lehrbuch Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik (DE-588)4136220-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Nichtgleichgewichtsstatistik (DE-588)4136220-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016656848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mazenko, Gene F. Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik - Lehrbuch Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik (DE-588)4136220-2 gnd |
| subject_GND | (DE-588)4136220-2 (DE-588)4123623-3 |
| title | Nonequilibrium statistical mechanics |
| title_auth | Nonequilibrium statistical mechanics |
| title_exact_search | Nonequilibrium statistical mechanics |
| title_exact_search_txtP | Nonequilibrium statistical mechanics |
| title_full | Nonequilibrium statistical mechanics Gene F. Mazenko |
| title_fullStr | Nonequilibrium statistical mechanics Gene F. Mazenko |
| title_full_unstemmed | Nonequilibrium statistical mechanics Gene F. Mazenko |
| title_short | Nonequilibrium statistical mechanics |
| title_sort | nonequilibrium statistical mechanics |
| topic | Nichtgleichgewichtsstatistik - Lehrbuch Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik (DE-588)4136220-2 gnd |
| topic_facet | Nichtgleichgewichtsstatistik - Lehrbuch Nonequilibrium statistical mechanics Nichtgleichgewichtsstatistik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016656848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT mazenkogenef nonequilibriumstatisticalmechanics |