Equilibrium statistical physics:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey [u. a.]
World Scientific
2006
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 620 S. |
| ISBN: | 9789812560483 9789812561558 |
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Record in the Search Index
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* *"#-** I ***** ** I : ^ - 4 *4 *** #~*# * G ** * # * »-4 F # # » #
THTISTICRL PHYSICS 3RD EDITION MICHAEL PLISCHKE SIMON FRAESER UNIVERSITY,
CANADA BIRGER BERGERSEN UNIVERSITY OF BRITISH COLUMBIA, CANADA \[P WORLD
SCIENTIFIC NEWJERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI * HONG
KONG * TAIPEI * CHENNA CONTENTS PREFACE TO THE FIRST EDITION XI PREFACE
TO THE SECOND EDITION XIV PREFACE TO THE THIRD EDITION XV 1 REVIEW OF
THERMODYNAMICS 1 1.1 STATE VARIABLES AND EQUATIONS OF STATE 1 1.2 LAWS
OF THERMODYNAMICS 3 1.2.1 FIRST LAW 3 1.2.2 SECOND LAW 5 1.3
THERMODYNAMIC POTENTIALS 9 1.4 GIBBS-DUHEM AND MAXWELL RELATIONS 12 1.5
RESPONSE FUNCTIONS 14 1.6 CONDITIONS FOR EQUILIBRIUM AND STABILITY 16
1.7 MAGNETIC WORK 18 1.8 THERMODYNAMICS OF PHASE TRANSITIONS 20 1.9
PROBLEMS 24 2 STATISTICAL ENSEMBLES 29 2.1 ISOLATED SYSTEMS:
MICROCANONICAL ENSEMBLE 30 2.2 SYSTEMS AT FIXED TEMPERATURE: CANONICAL
ENSEMBLE 35 2.3 GRAND CANONICAL ENSEMBLE 40 2.4 QUANTUM STATISTICS 43
2.4.1 HARMONIC OSCILLATOR 44 2.4.2 NONINTERACTING FERMIONS 44 2.4.3
NONINTERACTING BOSONS 45 2.4.4 DENSITY MATRIX 46 V VI CONTENTS 2.5
MAXIMUM ENTROPY PRINCIPLE 48 2.6 THERMODYNAMIC VARIATIONAL PRINCIPLES 53
2.6.1 SCHOTTKY DEFECTS IN A CRYSTAL 53 2.7 PROBLEMS 54 3 MEAN FIELD AND
LANDAU THEORY 63 3.1 MEAN FIELD THEORY OF THE ISING MODEL 64 3.2
BRAGG-WILLIAMS APPROXIMATION 67 3.3 A WORD OF WARNING 69 3.4 BETHE
APPROXIMATION 71 3.5 CRITICAL BEHAVIOR OF MEAN FIELD THEORIES 74 3.6
ISING CHAIN: EXACT SOLUTION 77 3.7 LANDAU THEORY OF PHASE TRANSITIONS 83
3.8 SYMMETRY CONSIDERATIONS 86 3.8.1 POTTS MODEL 87 3.9 LANDAU THEORY OF
TRICRITICAL POINTS 90 3.10 LANDAU-GINZBURG THEORY FOR FLUCTUATIONS 94
3.11 MULTICOMPONENT ORDER PARAMETERS: N-VECTOR MODEL 98 3.12 PROBLEMS
100 4 APPLICATIONS OF MEAN FIELD THEORY 109 4.1 ORDER-DISORDER
TRANSITION 110 4.2 MAIER-SAUPE MODEL 114 4.3 BLUME-EMERY-GRIMTHS MODEL
120 4.4 MEAN FIELD THEORY OF FLUIDS: VAN DER WAALS APPROACH 123 4.5
SPRUCE BUDWORM MODEL 129 4.6 A NON-EQUILIBRIUM SYSTEM: TWO SPECIES
ASYMMETRIC EXCLUSION MODEL 132 4.7 PROBLEMS 137 5 DENSE GASES AND
LIQUIDS 143 5.1 VIRIAL EXPANSION 145 5.2 DISTRIBUTION FUNCTIONS 151
5.2.1 PAIR CORRELATION FUNCTION 151 5.2.2 BBGKY HIERARCHY 157 5.2.3
ORNSTEIN-ZERNIKE EQUATION 158 5.3 PERTURBATION THEORY 161 5.4
INHOMOGENEOUS LIQUIDS 163 5.4.1 LIQUID-VAPOR INTERFACE 164 CONTENTS VII
5.4.2 CAPILLARY WAVES 169 5.5 DENSITY-FUNCTIONAL THEORY 171 5.5.1
FUNCTIONAL DIFFERENTIATION 171 5.5.2 FREE-ENERGY FUNCTIONALS AND
CORRELATION FUNCTIONS . . . . 174 5.5.3 APPLICATIONS 179 5.6 PROBLEMS
181 6 CRITICAL PHENOMENA I 183 6.1 ISING MODEL IN TWO DIMENSIONS 184
6.1.1 TRANSFER MATRIX 184 6.1.2 TRANSFORMATION TO AN INTERACTING FERMION
PROBLEM . . . 188 6.1.3 CALCULATION OF EIGENVALUES 191 6.1.4
THERMODYNAMIC FUNCTIONS 194 6.1.5 CONCLUDING REMARKS 199 6.2 SERIES
EXPANSIONS 199 6.2.1 HIGH-TEMPERATURE EXPANSIONS 200 6.2.2
LOW-TEMPERATURE EXPANSIONS 206 6.2.3 ANALYSIS OF SERIES 206 6.3 SCALING
211 6.3.1 THERMODYNAMIC CONSIDERATIONS 211 6.3.2 SCALING HYPOTHESIS 212
6.3.3 KADANOFF BLOCK SPINS 215 6.4 FINITE-SIZE SCALING 218 6.5
UNIVERSALITY 223 6.6 KOSTERLITZ-THOULESS TRANSITION 226 6.7 PROBLEMS 233
7 CRITICAL PHENOMENA II: THE RENORMALIZATION GROUP 237 7.1 THE ISING
CHAIN REVISITED 238 7.2 FIXED POINTS 242 7.3 AN EXACTLY SOLVABLE MODEL:
ISING SPINS ON A DIAMOND FRACTAL 248 7.4 POSITION SPACE RENORMALIZATION:
CUMULANT METHOD 258 7.4.1 FIRST-ORDER APPROXIMATION 262 7.4.2
SECOND-ORDER APPROXIMATION 264 7.5 OTHER POSITION SPACE RENORMALIZATION
GROUP METHODS 267 7.5.1 FINITE LATTICE METHODS 267 7.5.2 ADSORBED
MONOLAYERS: ISING ANTIFERROMAGNET 268 7.5.3 MONTE CARLO RENORMALIZATION
272 VIII CONTENTS 7.6 PHENOMENOLOGICAL RENORMALIZATION GROUP 275 7.7 THE
E-EXPANSION 279 7.7.1 THE GAUSSIAN MODEL 281 7.7.2 THE S 4 MODEL 284
7.7.3 CONCLUSION 290 APPENDIX: SECOND ORDER CUMULANT EXPANSION 292 7.8
PROBLEMS 295 8 STOCHASTIC PROCESSES 303 8.1 MARKOV PROCESSES AND THE
MASTER EQUATION 304 8.2 BIRTH AND DEATH PROCESSES 306 8.3 BRANCHING
PROCESSES 309 8.4 FOKKER-PLANCK EQUATION 313 8.5 FOKKER-PLANCK EQUATION
WITH SEVERAL VARIABLES: SIR MODEL . . 316 8.6 JUMP MOMENTS FOR
CONTINUOUS VARIABLES 321 8.6.1 BROWNIAN MOTION 323 8.6.2 RAYLEIGH AND
KRAMERS EQUATIONS 326 8.7 DIFFUSION, FIRST PASSAGE AND ESCAPE 328 8.7.1
NATURAL BOUNDARIES: THE KIMURA-WEISS MODEL FOR GENETIC DRIFT 329 8.7.2
ARTIFICIAL BOUNDARIES 33F 8.7.3 FIRST PASSAGE TIME AND ESCAPE
PROBABILITY 332 8.7.4 KRAMERS ESCAPE RATE 337 8.8 TRANSFORMATIONS OF THE
FOKKER-PLANCK EQUATION 340 8.8.1 HETEROGENEOUS DIFFUSION 340 8.8.2
TRANSFORMATION TO THE SCHROEDINGER EQUATION 343 8.9 PROBLEMS 345 9
SIMULATIONS 349 9.1 MOLECULAR DYNAMICS 350 9.1.1 CONSERVATIVE MOLECULAR
DYNAMICS 351 9.1.2 BROWNIAN DYNAMICS 353 9.1.3 DATA ANALYSIS 355 9.2
MONTE CARLO METHOD 357 9.2.1 DISCRETE TIME MARKOV PROCESSES 358 9.2.2
DETAILED BALANCE AND THE METROPOLIS ALGORITHM 359 9.2.3 HISTOGRAM
METHODS 363 9.3 DATA ANALYSIS 365 9.3.1 FLUCTUATIONS 365 CONTENTS IX
9.3.2 ERROR ESTIMATES 367 9.3.3 EXTRAPOLATION TO THE THERMODYNAMIC LIMIT
368 9.4 THE HOPFIELD MODEL OF NEURAL NETS 371 9.5 SIMULATED QUENCHING
AND ANNEALING 376 9.6 PROBLEMS 379 10 POLYMERS AND MEMBRANES 383 10.1
LINEAR POLYMERS 384 10.1.1 THE FREELY JOINTED CHAIN 386 10.1.2 THE
GAUSSIAN CHAIN 389 10.2 EXCLUDED VOLUME EFFECTS: FLORY THEORY 391 10.3
POLYMERS AND THE N- VECTOR MODEL 395 10.4 DENSE POLYMER SOLUTIONS 400
10.5 MEMBRANES 405 10.5.1 PHANTOM MEMBRANES 406 10.5.2 SELF-AVOIDING
MEMBRANES 409 10.5.3 LIQUID MEMBRANES 415 10.6 PROBLEMS 418 11 QUANTUM
FLUIDS 421 11.1 BOSE CONDENSATION 422 11.2 SUPERFLUIDITY 430 11.2.1
QUALITATIVE FEATURES OF SUPERFLUIDITY 430 11.2.2 BOGOLIUBOV THEORY OF
THE 4 HE EXCITATION SPECTRUM . . . 439 11.3 SUPERCONDUCTIVITY 442 11.3.1
COOPER PROBLEM 443 11.3.2 BCS GROUND STATE 445 11.3.3 FINITE-TEMPERATURE
BCS THEORY 449 11.3.4 LANDAU-GINZBURG THEORY OF SUPERCONDUCTIVITY 453
11.4 PROBLEMS 456 12 LINEAR RESPONSE THEORY 461 12.1 EXACT RESULTS 462
12.1.1 GENERALIZED SUSCEPTIBILITY AND THE STRUCTURE FACTOR . . . 462
12.1.2 THERMODYNAMIC PROPERTIES 469 12.1.3 SUM RULES AND INEQUALITIES
470 12.2 MEAN FIELD RESPONSE 472 12.2.1 DIELECTRIC FUNCTION OF THE
ELECTRON GAS 473 12.2.2 WEAKLY INTERACTING BOSE GAS 475 X CONTENTS
12.2.3 EXCITATIONS OF THE HEISENBERG FERROMAGNET 477 12.2.4 SCREENING
AND PLASMONS 480 12.2.5 EXCHANGE AND CORRELATION ENERGY 486 12.2.6
PHONONS IN METALS 487 12.3 ENTROPY PRODUCTION, THE KUBO FORMULA, AND THE
ONSAGER RELA- TIONS FOR TRANSPORT COEFFICIENTS 490 12.3.1 KUBO FORMULA
490 12.3.2 ENTROPY PRODUCTION AND GENERALIZED CURRENTS AND FORCES 492
12.3.3 MICROSCOPIC REVERSIBILITY: ONSAGER RELATIONS 494 12.4 THE
BOLTZMANN EQUATION 498 12.4.1 FIELDS, DRIFT AND COLLISIONS 498 12.4.2 DC
CONDUCTIVITY OF A METAL 500 12.4.3 THERMAL CONDUCTIVITY AND
THERMOELECTRIC EFFECTS . . . . 503 12.5 PROBLEMS 507 13 DISORDERED
SYSTEMS 513 13.1 SINGLE-PARTICLE STATES IN DISORDERED SYSTEMS 515 13.1.1
ELECTRON STATES IN ONE DIMENSION 516 13.1.2 TRANSFER MATRIX 517 13.1.3
LOCALIZATION IN THREE DIMENSIONS 523 13.1.4 DENSITY OF STATES 525 13.2
PERCOLATION 530 13.2.1 SCALING THEORY OF PERCOLATION 533 13.2.2 SERIES
EXPANSIONS AND RENORMALIZATION GROUP 536 13.2.3 RIGIDITY PERCOLATION 540
13.2.4 CONCLUSION 542 13.3 PHASE TRANSITIONS IN DISORDERED MATERIALS 542
13.3.1 STATISTICAL FORMALISM AND THE REPLICA TRICK 544 13.3.2 NATURE OF
PHASE TRANSITIONS 546 13.4 STRONGLY DISORDERED SYSTEMS 551 13.4.1
MOLECULAR GLASSES 552 13.4.2 SPIN GLASSES 554 13.4.3
SHERRINGTON-KIRKPATRICK MODEL 558 13.5 PROBLEMS 565 A OCCUPATION NUMBER
REPRESENTATION 569 BIBLIOGRAPHY 583 INDEX 603 |
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| author | Plischke, Michael Bergersen, Birger 1891-1977 |
| author_GND | (DE-588)1059369338 |
| author_facet | Plischke, Michael Bergersen, Birger 1891-1977 |
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| bvnumber | BV025522087 |
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| discipline | Physik |
| edition | 3. ed. |
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| publisher | World Scientific |
| record_format | marc |
| spelling | Plischke, Michael Verfasser aut Equilibrium statistical physics Michael Plischke ; Birger Bergersen 3. ed. New Jersey [u. a.] World Scientific 2006 XVI, 620 S. txt rdacontent n rdamedia nc rdacarrier Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Statistische Thermodynamik (DE-588)4126251-7 gnd rswk-swf Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Statistische Thermodynamik (DE-588)4126251-7 s DE-604 Kritisches Phänomen (DE-588)4165788-3 s Statistische Mechanik (DE-588)4056999-8 s 2\p DE-604 Statistische Physik (DE-588)4057000-9 s 3\p DE-604 Gleichgewichtstheorie (DE-588)4071876-1 s 4\p DE-604 Bergersen, Birger 1891-1977 Verfasser (DE-588)1059369338 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020130251&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Plischke, Michael Bergersen, Birger 1891-1977 Equilibrium statistical physics Statistische Mechanik (DE-588)4056999-8 gnd Kritisches Phänomen (DE-588)4165788-3 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4165788-3 (DE-588)4126251-7 (DE-588)4071876-1 (DE-588)4057000-9 (DE-588)4123623-3 |
| title | Equilibrium statistical physics |
| title_auth | Equilibrium statistical physics |
| title_exact_search | Equilibrium statistical physics |
| title_full | Equilibrium statistical physics Michael Plischke ; Birger Bergersen |
| title_fullStr | Equilibrium statistical physics Michael Plischke ; Birger Bergersen |
| title_full_unstemmed | Equilibrium statistical physics Michael Plischke ; Birger Bergersen |
| title_short | Equilibrium statistical physics |
| title_sort | equilibrium statistical physics |
| topic | Statistische Mechanik (DE-588)4056999-8 gnd Kritisches Phänomen (DE-588)4165788-3 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd Statistische Physik (DE-588)4057000-9 gnd |
| topic_facet | Statistische Mechanik Kritisches Phänomen Statistische Thermodynamik Gleichgewichtstheorie Statistische Physik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020130251&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT plischkemichael equilibriumstatisticalphysics AT bergersenbirger equilibriumstatisticalphysics |