Statistical physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2012
|
| Schriftenreihe: | De Gruyter studies in mathematical physics
18 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | X, 282 S. graph. Darst. |
| ISBN: | 3110270315 9783110270310 |
Internformat
MARC
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| 100 | 1 | |a Sadovskii, Michail V. |d 1948- |e Verfasser |0 (DE-588)1027151760 |4 aut | |
| 245 | 1 | 0 | |a Statistical physics |c Michael V. Sadovskii |
| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 2012 | |
| 300 | |a X, 282 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematical physics |v 18 | |
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Datensatz im Suchindex
| _version_ | 1807953664608829440 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
PREFACE V
1 BASIC PRINCIPLES O F STATISTICS 1
1.1 INTRODUCTION 2
1.2 DISTRIBUTION FUNCTIONS 2
1.3 STATISTICAL INDEPENDENCE 7
1.4 LIOUVILLE THEOREM 9
1.5 ROLE OF ENERGY, MICROCANONICAL DISTRIBUTION 13
1.6 PARTIAL DISTRIBUTION FUNCTIONS* 17
1.7 DENSITY MATRIX 21
1.7.1 PURE ENSEMBLE 22
1.7.2 MIXED ENSEMBLE 24
1.8 QUANTUM LIOUVILLE EQUATION 26
1.9 MICROCANONICAL DISTRIBUTION IN QUANTUM STATISTICS 28
1.10 PARTIAL DENSITY MATRICES* 29
1.11 ENTROPY 32
1.11.1 GIBBS ENTROPY. ENTROPY AND PROBABILITY 32
1.11.2 THE LAW O F ENTROPY GROWTH 35
2 GIBBS DISTRIBUTION 43
2.1 CANONICAL DISTRIBUTION 43
2.2 MAXWELL DISTRIBUTION 48
2.3 FREE ENERGY FROM GIBBS DISTRIBUTION 50
2.4 GIBBS DISTRIBUTION FOR SYSTEMS WITH VARYING NUMBER O F PARTICLES 52
2.5 THERMODYNAMIC RELATIONS FROM GIBBS DISTRIBUTION 55
3 CLASSICAL IDEAL GAS 60
3.1 BOLTZMANN DISTRIBUTION 60
3.2 BOLTZMANN DISTRIBUTION AND CLASSICAL STATISTICS 61
3.3 NONEQUILIBRIUM IDEAL GAS 63
3.4 FREE ENERGY O F BOLTZMANN GAS 66
HTTP://D-NB.INFO/1025360222
IMAGE 2
VIII CONTENTS
3.5 EQUATION O F STATE OF BOLTZMANN GAS 67
3.6 IDEAL GAS WITH CONSTANT SPECIFIC HEAT 69
3.7 EQUIPARTITION THEOREM 70
3.8 ONE-ATOM IDEAL GAS 72
4 QUANTUM IDEAL GASES 75
4.1 FERMI DISTRIBUTION 75
4.2 BOSE DISTRIBUTION 76
4.3 NONEQUILIBRIUM FERMI AND BOSE GASES 77
4.4 GENERAL PROPERTIES O F FERMI AND BOSE GASES 79
4.5 DEGENERATE GAS O F ELECTRONS 82
4.6 RELATIVISTIC DEGENERATE ELECTRON GAS* 85
4.7 SPECIFIC HEAT OF A DEGENERATE ELECTRON GAS 86
4.8 MAGNETISM O F AN ELECTRON GAS IN WEAK FIELDS 88
4.9 MAGNETISM OF AN ELECTRON GAS IN HIGH FIELDS* 92
4.10 DEGENERATE BOSE GAS 94
4.11 STATISTICS OF PHOTONS 97
5 CONDENSED MATTER 101
5.1 SOLID STATE AT LOW TEMPERATURE 101
5.2 SOLID STATE AT HIGH TEMPERATURE 104
5.3 DEBYE THEORY 105
5.4 QUANTUM BOSE LIQUID 109
5.5 SUPERFLUIDITY 113
5.6 PHONONS IN A BOSE LIQUID* 117
5.7 DEGENERATE INTERACTING BOSE GAS 121
5.8 FERMI LIQUIDS 124
5.9 ELECTRON LIQUID IN METALS* 130
6 SUPERCONDUCTIVITY 133
6.1 COOPER INSTABILITY 133
6.2 ENERGY SPECTRUM O F SUPERCONDUCTORS 135
6.3 THERMODYNAMICS O F SUPERCONDUCTORS 144
6.4 COULOMB REPULSION* 148
6.5 GINZBURG-LANDAU THEORY 151
IMAGE 3
CONTENTS IX
7 FLUCTUATIONS 160
7.1 GAUSSIAN DISTRIBUTION 160
7.2 FLUCTUATIONS IN BASIC PHYSICAL PROPERTIES 164
7.3 FLUCTUATIONS IN IDEAL GASES 167
8 PHASE TRANSITIONS AND CRITICAL PHENOMENA 170
8.1 MEAN-FIELD THEORY O F MAGNETISM 170
8.2 QUASI-AVERAGES* 177
8.3 FLUCTUATIONS IN THE ORDER PARAMETER 180
8.4 SCALING 186
9 LINEAR RESPONSE 195
9.1 LINEAR RESPONSE TO MECHANICAL PERTURBATION 195
9.2 ELECTRICAL CONDUCTIVITY AND MAGNETIC SUSCEPTIBILITY 201
9.3 DISPERSION RELATIONS 204
10 KINETIC EQUATIONS 208
10.1 BOLTZMANN EQUATION 208
10.2 //-THEOREM 214
10.3 QUANTUM KINETIC EQUATIONS* 216
10.3.1 ELECTRON-PHONON INTERACTION 218
10.3.2 ELECTRON-ELECTRON INTERACTION 222
11 BASICS O F THE MODERN THEORY O F MANY-PARTICLE SYSTEMS 225
11.1 QUASIPARTICLES AND GREEN'S FUNCTIONS 225
11.2 FEYNMAN DIAGRAMS FOR MANY-PARTICLE SYSTEMS 233
11.3 DYSON EQUATION 237
11.4 EFFECTIVE INTERACTION AND DIELECTRIC SCREENING 241
11.5 GREEN'S FUNCTIONS AT FINITE TEMPERATURES 244
A MOTION IN PHASE SPACE, ERGODICITY AND MIXING 248
A . L ERGODICITY 248
A.2 POINCARE RECURRENCE THEOREM 254
A.3 INSTABILITY O F TRAJECTORIES AND MIXING 256
B STATISTICAL MECHANICS AND INFORMATION THEORY 259
B . L RELATION BETWEEN GIBBS DISTRIBUTIONS AND THE PRINCIPLE O F MAXIMAL
INFORMATION ENTROPY 259
B.2 PURGING MAXWELL'S "DEMON" 263
IMAGE 4
X
CONTENTS
C NONEQUILIBRIUM STATISTICAL OPERATORS 270
C . L QUASI-EQUILIBRIUM STATISTICAL OPERATORS 270
C.2 NONEQUILIBRIUM STATISTICAL OPERATORS AND QUASI-AVERAGES 273
BIBLIOGRAPHY 277
INDEX 279 |
| any_adam_object | 1 |
| author | Sadovskii, Michail V. 1948- |
| author_GND | (DE-588)1027151760 |
| author_facet | Sadovskii, Michail V. 1948- |
| author_role | aut |
| author_sort | Sadovskii, Michail V. 1948- |
| author_variant | m v s mv mvs |
| building | Verbundindex |
| bvnumber | BV040412998 |
| classification_rvk | UG 3100 UG 3500 |
| ctrlnum | (OCoLC)815889739 (DE-599)DNB1025360222 |
| dewey-full | 530.13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.13 |
| dewey-search | 530.13 |
| dewey-sort | 3530.13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV040412998 |
| illustrated | Illustrated |
| indexdate | 2024-08-21T00:09:33Z |
| institution | BVB |
| isbn | 3110270315 9783110270310 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025265915 |
| oclc_num | 815889739 |
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| owner_facet | DE-11 DE-19 DE-BY-UBM DE-703 DE-83 DE-355 DE-BY-UBR DE-20 DE-706 |
| physical | X, 282 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematical physics |
| series2 | De Gruyter studies in mathematical physics |
| spelling | Sadovskii, Michail V. 1948- Verfasser (DE-588)1027151760 aut Statistical physics Michael V. Sadovskii Berlin [u.a.] De Gruyter 2012 X, 282 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematical physics 18 Statistische Physik (DE-588)4057000-9 gnd rswk-swf Statistische Physik (DE-588)4057000-9 s DE-604 Erscheint auch als Online-Ausgabe 978-3-11-027037-2 De Gruyter studies in mathematical physics 18 (DE-604)BV040141722 18 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4104913&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025265915&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sadovskii, Michail V. 1948- Statistical physics De Gruyter studies in mathematical physics Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4057000-9 |
| title | Statistical physics |
| title_auth | Statistical physics |
| title_exact_search | Statistical physics |
| title_full | Statistical physics Michael V. Sadovskii |
| title_fullStr | Statistical physics Michael V. Sadovskii |
| title_full_unstemmed | Statistical physics Michael V. Sadovskii |
| title_short | Statistical physics |
| title_sort | statistical physics |
| topic | Statistische Physik (DE-588)4057000-9 gnd |
| topic_facet | Statistische Physik |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4104913&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025265915&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV040141722 |
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