Canonical Gibbs measures: some extensions of de Finetti's representations theorem for interacting particle systems
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1979
|
| Series: | Lecture notes in mathematics
760 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 190 S. |
| ISBN: | 3540097120 0387097120 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Introduction
§ 1 Basic concepts 1
1.1 The discrete model 2
1.2 The continuous model 15
§ 2 Equilibrium states for systems of moving particles 29
2.1 Particle motions in the discrete model 29
2.2 Particle motions in the continuous model 39
§ 3 Spatially homogeneous models 64
3.1 The variational principle 64
3.2 The free energy as a function of time 78
§ 4 Independent models 91
4.1 The discrete case 91
4.2 The continuous case 104
§ 5 Discrete models with interaction 110
5.1 Formulation of results 110
5.2 Conditional probabilities and the activity function 118
5.3 Estimating the activity function 132
§ 6 Continuous models with interaction 139
6.1 Formulation of results 139
6.2 Conditional densities and the activity functions 146
6.3 Estimating the activity functions 159
§ 1 Some further results on homogeneous models 17o
7.1 Properties of the activity function 170
7.2 The equivalence of ensembles 174
References 182
Index 188
|
| any_adam_object | 1 |
| author | Georgii, Hans-Otto 1944-2017 |
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| discipline | Mathematik |
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| indexdate | 2024-07-09T15:42:56Z |
| institution | BVB |
| isbn | 3540097120 0387097120 |
| language | English |
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| physical | VIII, 190 S. |
| psigel | TUB-nveb |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Georgii, Hans-Otto 1944-2017 Verfasser (DE-588)10807546X aut Canonical Gibbs measures some extensions of de Finetti's representations theorem for interacting particle systems H. O. Georgii Berlin [u.a.] Springer 1979 VIII, 190 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 760 Gibbs-Maß (DE-588)4157328-6 gnd rswk-swf Gibbs-Maß (DE-588)4157328-6 s DE-604 Lecture notes in mathematics 760 (DE-604)BV000676446 760 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Georgii, Hans-Otto 1944-2017 Canonical Gibbs measures some extensions of de Finetti's representations theorem for interacting particle systems Lecture notes in mathematics Gibbs-Maß (DE-588)4157328-6 gnd |
| subject_GND | (DE-588)4157328-6 |
| title | Canonical Gibbs measures some extensions of de Finetti's representations theorem for interacting particle systems |
| title_auth | Canonical Gibbs measures some extensions of de Finetti's representations theorem for interacting particle systems |
| title_exact_search | Canonical Gibbs measures some extensions of de Finetti's representations theorem for interacting particle systems |
| title_full | Canonical Gibbs measures some extensions of de Finetti's representations theorem for interacting particle systems H. O. Georgii |
| title_fullStr | Canonical Gibbs measures some extensions of de Finetti's representations theorem for interacting particle systems H. O. Georgii |
| title_full_unstemmed | Canonical Gibbs measures some extensions of de Finetti's representations theorem for interacting particle systems H. O. Georgii |
| title_short | Canonical Gibbs measures |
| title_sort | canonical gibbs measures some extensions of de finetti s representations theorem for interacting particle systems |
| title_sub | some extensions of de Finetti's representations theorem for interacting particle systems |
| topic | Gibbs-Maß (DE-588)4157328-6 gnd |
| topic_facet | Gibbs-Maß |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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