Canonical Gibbs measures: some extensions of de Finetti's representations theorem for interacting particle systems
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
1979
|
Schriftenreihe: | Lecture notes in mathematics
760 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VIII, 190 S. |
ISBN: | 3540097120 0387097120 |
Internformat
MARC
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245 | 1 | 0 | |a Canonical Gibbs measures |b some extensions of de Finetti's representations theorem for interacting particle systems |c H. O. Georgii |
264 | 1 | |a Berlin [u.a.] |b Springer |c 1979 | |
300 | |a VIII, 190 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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Datensatz im Suchindex
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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
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any_adam_object | 1 |
author | Georgii, Hans-Otto 1944-2017 |
author_GND | (DE-588)10807546X |
author_facet | Georgii, Hans-Otto 1944-2017 |
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author_sort | Georgii, Hans-Otto 1944-2017 |
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building | Verbundindex |
bvnumber | BV002259367 |
classification_rvk | SI 850 |
ctrlnum | (OCoLC)300220680 (DE-599)BVBBV002259367 |
discipline | Mathematik |
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id | DE-604.BV002259367 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T15:42:56Z |
institution | BVB |
isbn | 3540097120 0387097120 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001484793 |
oclc_num | 300220680 |
open_access_boolean | |
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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 |
volume_link | (DE-604)BV000676446 |
work_keys_str_mv | AT georgiihansotto canonicalgibbsmeasuressomeextensionsofdefinettisrepresentationstheoremforinteractingparticlesystems |