Classical equilibrium statistical mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon
1988
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 213 S. |
| ISBN: | 0198519842 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002216011 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 890928s1988 |||| 00||| eng d | ||
| 020 | |a 0198519842 |9 0-19-851984-2 | ||
| 035 | |a (OCoLC)246815677 | ||
| 035 | |a (DE-599)BVBBV002216011 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-384 |a DE-703 |a DE-355 |a DE-20 |a DE-29T |a DE-706 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QC174.8 | |
| 082 | 0 | |a 530.1/32 |2 19 | |
| 084 | |a UG 3100 |0 (DE-625)145625: |2 rvk | ||
| 084 | |a PHY 057f |2 stub | ||
| 100 | 1 | |a Thompson, Colin J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Classical equilibrium statistical mechanics |
| 264 | 1 | |a Oxford |b Clarendon |c 1988 | |
| 300 | |a IX, 213 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Equilibre |2 ram | |
| 650 | 7 | |a Matière - propriétés |2 ram | |
| 650 | 7 | |a Mécanique statistique |2 ram | |
| 650 | 4 | |a Matter |x Properties | |
| 650 | 4 | |a Statistical mechanics | |
| 650 | 0 | 7 | |a Statistische Mechanik |0 (DE-588)4056999-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gleichgewicht |0 (DE-588)4121372-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Statistische Mechanik |0 (DE-588)4056999-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Gleichgewicht |0 (DE-588)4121372-5 |D s |
| 689 | 1 | 1 | |a Statistische Mechanik |0 (DE-588)4056999-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001455554&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001455554 | ||
Record in the Search Index
| _version_ | 1804116670707400704 |
|---|---|
| adam_text | Classical
Equilibrium Statistical
Mechanics
COLIN J JJ1OMPSON
Mathematics Department,
University of Melbourne,
Parkville,
Victoria,
Australia
CLARENDON PRESS • OXFORD
CONTENTS
1 Thermodynamics
2 The
Introduction
Empirical temperature and the zeroth law
Energy conservation and the first law
Entropy and the second law
Free energies and derived quantities for fluid and magnetic
systems
Thermodynamic relations
Problems
Solutions to problems
Gibbs distributions
Introduction
Macroscopic variables and the approach to equilibrium
The Gibbs microcanonical distribution
The canonical distribution
The laws of thermodynamics
Derived thermodynamic quantities for fluid and magnetic sys-
tems
The grand-canonical distribution
Equivalence of the microcanonical, canonical, and grand-
canonical descriptions
Problems
Solutions to problems
3 Model systems and the thermodynamic limit
Introduction
The Tonks gas
The Takahashi gas
Lattice models of magnets, gases, and alloys
The one-dimensional n-vector mode!
The thermodynamic limit for a lattice-model system
The thermodynamic limit for a continuum-model system
Convexity of the free energy and thermodynamic stability
Problems
Solutions to Droblems
viii Contents
4 Theories of phase transitions 81
4 1 Introduction 81
4 2 The van der Waals theory of gas-liquid transitions 84
4 3 The Curie-Weiss theory of magnetic transitions 91
4 4 Validity of the classical theories 95
4 5 Characterization of phase transitions by critical exponents 100
4 6 The Yang-Lee theory of phase transitions 104
4 7 Peierls s argument for the existence of a phase transition 108
4 8 Problems 112
4 9 Solutions to problems 113
5 Fluctuations and correlations 119
5 1 Introduction 119
5 2 Distribution functions and the fluctuation relation for fluids 120
5 3 The Ornstein-Zernike theory 122
5 4 Correlation-function critical exponents 124
5 5 Spin correlations and the fluctuation relation for magnets 126
5 6 Griffiths spin-correlation inequalities 129
5 7 Problems 132
5 8 Solutions to problems 133
6 Some exactly solved models 135
6 1 Introduction 135
6 2 The transfer-matrix method for lattice systems 136
6 3 The one-dimensional Ising model in a magnetic field 138
6 4 Onsager s solution of the two-dimensional Ising model 140
6 5 Critical behaviour of the two-dimensional Ising model 143
6 6 Vertex models in two dimensions 145
6 7 Baxter s solution of the eight-vertex model 151
6 8 Hard-core lattice systems 154
6 9 The Gaussian and spherical models 158
6 10 Critical behaviour of the spherical model 165
6 11 Problems 169
6 12 Solutions to problems 171
7 Scaling theory and the renormalization group 180
7 1 Introduction 180
7 2 The scaling hypothesis and critical exponent relations 181
7 3 Block-spins and scaling of the correlation functions 183
7 4 The renormalization-group recipe 186
7 5 Some examples of renormalization-group transformations 192
Contents ix
7 6 Problems 196
7 7 Solutions to problems 198
References 203
Index 209
|
| any_adam_object | 1 |
| author | Thompson, Colin J. |
| author_facet | Thompson, Colin J. |
| author_role | aut |
| author_sort | Thompson, Colin J. |
| author_variant | c j t cj cjt |
| building | Verbundindex |
| bvnumber | BV002216011 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.8 |
| callnumber-search | QC174.8 |
| callnumber-sort | QC 3174.8 |
| callnumber-subject | QC - Physics |
| classification_rvk | UG 3100 |
| classification_tum | PHY 057f |
| ctrlnum | (OCoLC)246815677 (DE-599)BVBBV002216011 |
| dewey-full | 530.1/32 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/32 |
| dewey-search | 530.1/32 |
| dewey-sort | 3530.1 232 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01666nam a2200457 c 4500</leader><controlfield tag="001">BV002216011</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1988 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0198519842</subfield><subfield code="9">0-19-851984-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246815677</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002216011</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC174.8</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.1/32</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UG 3100</subfield><subfield code="0">(DE-625)145625:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 057f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Thompson, Colin J.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Classical equilibrium statistical mechanics</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford</subfield><subfield code="b">Clarendon</subfield><subfield code="c">1988</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 213 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Equilibre</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Matière - propriétés</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mécanique statistique</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matter</subfield><subfield code="x">Properties</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistical mechanics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistische Mechanik</subfield><subfield code="0">(DE-588)4056999-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gleichgewicht</subfield><subfield code="0">(DE-588)4121372-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Statistische Mechanik</subfield><subfield code="0">(DE-588)4056999-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Gleichgewicht</subfield><subfield code="0">(DE-588)4121372-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Statistische Mechanik</subfield><subfield code="0">(DE-588)4056999-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001455554&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001455554</subfield></datafield></record></collection> |
| id | DE-604.BV002216011 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:12Z |
| institution | BVB |
| isbn | 0198519842 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001455554 |
| oclc_num | 246815677 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-703 DE-355 DE-BY-UBR DE-20 DE-29T DE-706 DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-703 DE-355 DE-BY-UBR DE-20 DE-29T DE-706 DE-83 DE-188 |
| physical | IX, 213 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Clarendon |
| record_format | marc |
| spelling | Thompson, Colin J. Verfasser aut Classical equilibrium statistical mechanics Oxford Clarendon 1988 IX, 213 S. txt rdacontent n rdamedia nc rdacarrier Equilibre ram Matière - propriétés ram Mécanique statistique ram Matter Properties Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Gleichgewicht (DE-588)4121372-5 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s DE-604 Gleichgewicht (DE-588)4121372-5 s HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001455554&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thompson, Colin J. Classical equilibrium statistical mechanics Equilibre ram Matière - propriétés ram Mécanique statistique ram Matter Properties Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd Gleichgewicht (DE-588)4121372-5 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4121372-5 |
| title | Classical equilibrium statistical mechanics |
| title_auth | Classical equilibrium statistical mechanics |
| title_exact_search | Classical equilibrium statistical mechanics |
| title_full | Classical equilibrium statistical mechanics |
| title_fullStr | Classical equilibrium statistical mechanics |
| title_full_unstemmed | Classical equilibrium statistical mechanics |
| title_short | Classical equilibrium statistical mechanics |
| title_sort | classical equilibrium statistical mechanics |
| topic | Equilibre ram Matière - propriétés ram Mécanique statistique ram Matter Properties Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd Gleichgewicht (DE-588)4121372-5 gnd |
| topic_facet | Equilibre Matière - propriétés Mécanique statistique Matter Properties Statistical mechanics Statistische Mechanik Gleichgewicht |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001455554&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT thompsoncolinj classicalequilibriumstatisticalmechanics |