Statistical mechanics of solids:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2000
|
| Series: | Monographs on the physics and chemistry of materials
58 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 519 S. graph. Darst. |
| ISBN: | 0195119657 |
Staff View
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Record in the Search Index
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| adam_text | STATISTICAL MECHANICS OF SOLIDS LOUIS A. GIRIFALCO OXPORD UNIVERSITY
PRESS 2000 CONTENTS 1 THE BASICS OF THERMODYNAMICS 1 1.1 THE EXISTENCE
OF EQUILIBRIUM AND STATE FUNCTIONS 1 1.2 EMPIRICAL TEMPERATURE SCALES 2
1.3 THE IDEAL GAS TEMPERATURE 2 1.4 THE MECHANICAL EQUIVALENT OF HEAT 3
1.5 WALLS AND THE ZEROTH LAW OF THERMODYNAMICS 4 1.6 SPONTANEOUS,
REVERSIBLE, AND IRREVERSIBLE PROCESSES 5 1.7 WORK AND THE DEPENDENCE OF
WORK ON THE PATH 6 1.8 THE FIRST LAW OF THERMODYNAMICS 8 1.9 HEAT
CAPACITY, ENERGY, AND ENTHALPY 9 1.10 THE SECOND LAW OF THERMODYNAMICS
AND ENTROPY 10 1.11 FREE ENERGIES AND EQUILIBRIUM CONDITIONS 14 1.12
THERMODYNAMIC POTENTIALS AND LEGENDRE TRANSFORMATIONS 16 1.13 CHEMICAL
POTENTIALS 20 1.14 CONDITIONS OF PHASE EQUILIBRIA AND STABILITY 21 1.15
EULER S THEOREM AND THE GIBBS-DUHEM EQUATION 24 1.16 RECIPROCITY
RELATIONS OF MAXWELL 26 1.17 USEFUL DIFFERENTIAL RELATIONS 27 1.18
EQUATIONS OF STATE AND HEAT CAPACITY RELATIONS 28 1.19 MAGNETIC SYSTEMS
31 EXERCISES 32 2 PRINCIPLES OF STATISTICAL MECHANICS 34 2.1 DEFINITIONS
FOR STATISTICAL MECHANICS 34 2.2 THERMODYNAMIC STATE 35 2.3 COMPARISON
OF MICROSCOPIC AND MACROSCOPIC STATE 36 2.4 THE RELATION BETWEEN
MICROSCOPIC AND MACROSCOPIC STATE 37 2.5 SYSTEM AND ENVIRONMENT 38 2.6
QUANTUM STATES OF MACROSCOPIC SYSTEMS 39 2.7 TIME AVERAGES 40 2.8
ENSEMBLES 41 2.9 THE CANONICAL ENSEMBLE 42 2.10 THE CANONICAL MOST
PROBABLE DISTRIBUTION 44 2.11 SUMMARY OF DEFINITIONS OF PROBABILITIES 47
X CONTENTS 2.12 THE CANONICAL ENSEMBLE AND THERMODYNAMICS 48 2.13
STATISTICAL ENTROPY AND THE SECOND LAW OF THERMODYNAMICS 54 2.14 THE
SEMICLASSICAL APPROXIMATION 56 2.15 THE GRAND CANONICAL ENSEMBLE 60 2.16
THE PRESSURE ENSEMBLE 63 2.17 FLUCTUATIONS 64 EXERCISES 67 3 PARTICLE
STATISTICS 69 3.1 ENTROPY AND NUMBER OF COMPLEXIONS 69 3.2 PARTICLE
DISTRIBUTION FUNCTIONS 71 3.3 PARTICLE STATISTICS AND THERMODYNAMICS 74
3.4 THE IDEAL GAS 76 3.5 PARTICLE STATISTICS FROM THE GRAND CANONICAL
ENSEMBLE 81 3.6 REPRESENTATIONS OF THE DENSITY OF STATES 84 3.7
MAXWELL S VELOCITY DISTRIBUTION 86 3.8 TWO-DIMENSIONAL IDEAL GAS 87 3.9
INDEPENDENT PARTICLES AND SUBSYSTEMS 88 EXERCISES 90 4 THE HARMONIC
CRYSTAL 92 4.1 THE HARMONIC MODEL 92 4.2 THE MONATOMIC LINEAR CHAIN AND
NORMAL MODE ANALYSIS 93 4.3 PARTITION FUNCTION AND FREE ENERGY OF THE
HARMONIC CRYSTAL 101 4.4 GENERAL HEAT CAPACITY EQUATIONS 104 4.5 THE
EINSTEIN MODEL 106 4.6 SUPERPOSITION OF EINSTEIN OSCILLATORS 107 4.7 THE
DEBYE MODEL 108 4.8 DEBYE ENERGY AND HEAT CAPACITY 112 4.9 RELATION
BETWEEN EINSTEIN AND DEBYE CHARACTERISTIC TEMPERATURES 115 4.10
COMPARISON OF DEBYE THEORY WITH EXPERIMENT 116 4.11 THE PHONON GAS 119
EXERCISES 121 5 ANHARMONIC PROPERTIES AND THE EQUATION OF STATE 124 5.1
THE CRYSTAL POTENTIAL ENERGY 124 5.2 ANHARMONIC PROPERTIES AND THE
GRUNEISEN ASSUMPTION 129 5.3 HEAT CAPACITY AT CONSTANT PRESSURE 134 5.4
DEBYE THEORY AND THE GRUNEISEN ASSUMPTION 134 5.5 VIBRATIONAL
ANHARMONICITY 136 5.6 THEORY OF THE GRUNEISEN PARAMETER 137 EXERCISES
141 6 FREE ELECTRON THEORY IN METALS AND SEMICONDUCTORS 143 6.1 FREE
ELECTRONS IN METALS 143 6.2 STATISTICS FOR THE ELECTRON GAS 144 6.3 THE
DISTRIBUTION OF FREE ELECTRONS 145 6.4 THERMODYNAMIC PROPERTIES OF THE
FREE ELECTRON GAS 148 6.5 ELECTRONIC HEAT CAPACITY IN METALS 152 6.6
EQUATION OF STATE OF THE FREE ELECTRON GAS 153 6.7 THOMAS-FERMI THEORY
155 6.8 REVIEW OF RESULTS OF BAND THEORY 159 6.9 IMPURITY LEVELS IN
SEMICONDUCTORS 162 6.10 ELECTRON DISTRIBUTION IN INTRINSIC
SEMICONDUCTORS 163 6.11 ELECTRON STATISTICS IN EXTRINSIC SEMICONDUCTORS
167 6.12 MASS ACTION LAWS FOR EXTRINSIC SEMICONDUCTORS 171 6.13 RELATION
BETWEEN FERMI LEVEL AND IMPURITY CONCENTRATION 173 EXERCISES 175 7
STATISTICAL-KINETIC THEORY OF ELECTRON TRANSPORT 177 7.1 FREE ELECTRONS
IN EXTERNAL FIELDS AND TEMPERATURE GRADIENTS 177 7.2 THE
STATISTICAL-KINETIC METHOD 180 7.3 THE BOLTZMANN TRANSPORT EQUATION 181
7.4 FORMAL FLUX EQUATIONS 185 7.5 THE ELECTRICAL CONDUCTIVITY OF METALS
186 7.6 THERMAL CONDUCTIVITY AND THE WIEDEMANN-FRANZ LAW 188 7.7 THE
ISOTHERMAL HALL EFFECT 192 7.8 ELECTRICAL CONDUCTIVITY IN SEMICONDUCTORS
196 EXERCISES 201 8 ORDER-DISORDER ALLOYS 202 8.1 ORDER-DISORDER
STRUCTURES 202 8.2 THE ORDER-DISORDER TRANSITION 203 8.3 DESCRIPTION OF
THE DEGREE OF ORDER 204 8.4 THE ORDER-DISORDER PARTITION FUNCTION 209
8.5 THE KIRKWOOD METHOD 213 8.6 THE BRAGG-WILLIAMS APPROXIMATION 217 8.7
THE SECOND MOMENT APPROXIMATION 222 8.8 THE QUASI-CHEMICAL APPROXIMATION
225 8.9 COMPARISON WITH EXPERIMENT 230 EXERCISES 232 9 MAGNETIC ORDER
234 9.1 MAGNETIC RESPONSE 234 9.2 PARAMAGNETISM OF INDEPENDENT MOMENTS
236 9.3 PARAMAGNETISM OF FREE ELECTRONS 240 9.4 FERROMAGNETISM: MEAN
FIELD THEORY 242 9.5 THE ISING MODEL FOR FERROMAGNETISM 245 9.6
ANTIFERROMAGNETISM: MEAN FIELD THEORY 248 9.7 SPIN WAVES 251 EXERCISES
256 XII CONTENTS 10 PHASE EQUILIBRIA 258 10.1 PHASE EQUILIBRIA IN
ONE-COMPONENT SYSTEMS 258 10.2 THE VAN DER WAALS MODEL 262 10.3
SUBLIMATION 270 10.4 THE LIQUID STATE 272 10.5 COMMUNAL ENTROPY 276 10.6
VIBRATIONS AND MELTING 277 10.7 MELTING 281 10.8 REGULAR SOLUTION THEORY
OF BINARY ALLOYS 282 EXERCISES 286 11 CRITICAL EXPONENTS AND THE
RENORMALIZATION GROUP 288 11.1 EQUIVALENT MODELS 288 11.2 CRITICAL
POINTS 289 11.3 LANDAU THEORY AND THE KIRKWOOD EXPANSION 292 11.4
FLUCTUATIONS AND CORRELATION LENGTH 295 11.5 THE MONATOMIC ISING CHAIN
298 11.6 RENORMALIZATION OF THE ONE-DIMENSIONAL ISING MODEL 302 11.7 THE
KADANOFF CONSTRUCTION 305 11.8 THE RENORMALIZATION GROUP 311 11.9
SCALING AND THE RENORMALIZATION GROUP 313 11.10 NUMBERS 316 EXERCISES
317 12 SURFACES AND INTERFACES 318 12.1 BASIC CONCEPTS 318 12.2
THERMODYNAMICS OF INTERFACES 322 12.3 THERMODYNAMICS OF ADSORPTION ON
SOLID SURFACES 325 12.4 ADHESION AND COHESION 328 12.5 CRITICAL POINT
AND CRITICAL EXPONENT FOR SURFACE TENSION 333 12.6 MONOLAYER ADSORPTION:
LANGMUIR ISOTHERM 335 12.7 MONOLAYER ADSORPTION: MOBILE LAYER 339 12.8
MULTILAYER ADSORPTION: BET ISOTHERM 340 12.9 SEGREGATION OF IMPURITIES
AT INTERFACES 345 EXERCISES 346 13 THE THEORY OF RANDOM FLIGHT 349 13.1
INTRODUCTION 349 13.2 THE MEAN SQUARE TOTAL DISPLACEMENT 350 13.3 RANDOM
FLIGHT ON A LATTICE 354 13.4 REFLECTING AND ABSORBING BARRIERS 361 13.5
THE MARKOFF METHOD 363 13.6 THE GENERAL SOLUTION 367 13.7
SELF-SIMILARITY 370 13.8 THE DIFFUSION EQUATION FROM RANDOM FLIGHTS 371
EXERCISES 373 CONTENTS XUEI 14 LINEAR POLYMER CHAINS 375 14.1 POLYMER
CHAINS AND RANDOM FLIGHT 375 14.2 PERSISTENCE LENGTH 376 14.3 CHAIN
LENGTH FLUCTUATIONS 379 14.4 DENSITY IN A POLYMER CHAIN 381 14.5
PARTITION FUNCTION OF A POLYMER CHAIN 381 14.6 EXCLUDED VOLUME 383 14.7
THE FORCE ENSEMBLE AND CHAIN ELASTICITY 385 14.8 ELASTOMERS 389 14.9 THE
FLORY CORRECTION 395 14.10 SOLUTIONS AND GELS 395 EXERCISES 401 15
VACANCIES AND INTERSTITIALS IN MONATOMIC CRYSTALS 403 15.1 CHOICE OF
ENSEMBLE 403 15.2 THE VACANCY CONCENTRATION 404 15.3 THE CRYSTAL FREE
ENERGY 407 15.4 VACANCIES AND THERMODYNAMIC FUNCTIONS 410 15.5 THE
VACANCY FORMATION FUNCTIONS 413 15.6 VACANCIES, DIVACANCIES, AND
INTERSTITIALS 418 15.7 SOME NUMERICAL RESULTS 422 EXERCISES 429 16 POINT
DEFECTS IN DILUTE ALLOYS 431 16.1 GENERAL COMMENTS 431 16.2 THE
STATISTICAL COUNT FOR SUBSTITUTIONAL DEFECTS 433 16.3 DEFECT
CONCENTRATION FORMULAS FOR SUBSTITUTIONAL DEFECTS 435 16.4 INTERNAL
EQUILIBRIA FOR SUBSTITUTIONAL DEFECTS 440 16.5 QUENCHED-IN RESISTIVITY
OF DILUTE BINARY ALLOYS 441 16.6 SOME GENERAL THEORY 443 16.7
THERMODYNAMICS OF THE DILUTE ALLOY 446 EXERCISES 448 17 DIFFUSION IN
SIMPLE CRYSTALS 450 17.1 THE EMPIRICAL LAWS OF DIFFUSION 450 17.2
TRANSITION PROBABILITIES AND FICK S LAWS 452 17.3 ATOMIC JUMPS AND THE
DIFFUSION COEFFICIENT 455 17.4 THE JUMP FREQUENCY IN ONE DIMENSION 457
17.5 MANY-BODY THEORY OF THE JUMP FREQUENCY 460 17.6 THE DIFFUSION
COEFFICIENT 466 EXERCISES 467 APPENDIX 1 COMBINATORIAL PROBLEMS IN
STATISTICAL MECHANICS 469 APPENDIX 2 THE METHOD OF UNDETERMINED
MULTIPLIERS 473 APPENDIX 3 STIRLING S APPROXIMATION 477 XIV CONTENTS
APPENDIX 4 SUMS AND INTEGRALS 479 APPENDIX 5 FERMI INTEGRALS 484
APPENDIX 6 KIRKWOOD S SECOND MOMENT 488 APPENDIX 7 THE GENERALIZED
LATTICE GAS 492 APPENDIX 8 DYADICS AND CRYSTAL SYMMETRY 495 ADDITIONAL
READINGS 505 INDEX 509
|
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| indexdate | 2024-07-09T18:45:30Z |
| institution | BVB |
| isbn | 0195119657 |
| language | English |
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| owner | DE-703 DE-20 |
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| physical | XIV, 519 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series | Monographs on the physics and chemistry of materials |
| series2 | Monographs on the physics and chemistry of materials |
| spelling | Girifalco, Louis A. Verfasser aut Statistical mechanics of solids Louis A. Girifalco Oxford [u.a.] Oxford Univ. Press 2000 XIV, 519 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs on the physics and chemistry of materials 58 Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Statistische Thermodynamik (DE-588)4126251-7 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s Festkörper (DE-588)4016918-2 s DE-604 Statistische Thermodynamik (DE-588)4126251-7 s Monographs on the physics and chemistry of materials 58 (DE-604)BV000725086 58 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009154394&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Girifalco, Louis A. Statistical mechanics of solids Monographs on the physics and chemistry of materials Statistische Mechanik (DE-588)4056999-8 gnd Festkörper (DE-588)4016918-2 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4016918-2 (DE-588)4126251-7 |
| title | Statistical mechanics of solids |
| title_auth | Statistical mechanics of solids |
| title_exact_search | Statistical mechanics of solids |
| title_full | Statistical mechanics of solids Louis A. Girifalco |
| title_fullStr | Statistical mechanics of solids Louis A. Girifalco |
| title_full_unstemmed | Statistical mechanics of solids Louis A. Girifalco |
| title_short | Statistical mechanics of solids |
| title_sort | statistical mechanics of solids |
| topic | Statistische Mechanik (DE-588)4056999-8 gnd Festkörper (DE-588)4016918-2 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd |
| topic_facet | Statistische Mechanik Festkörper Statistische Thermodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009154394&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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