Mathematical foundations of classical statistical mechanics: continuous systems
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Taylor & Francis
2002
|
| Edition: | 2. ed. |
| Series: | Advanced studies in contemporary mathematics
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | IX, 338 S. |
| ISBN: | 0415273544 |
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| 245 | 1 | 0 | |a Mathematical foundations of classical statistical mechanics |b continuous systems |c D. Ya. Petrina ; V. I. Gerasimenko ; P. V. Malyshev |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS PREFACE TO THE SECOND EDITION* VII* PREFACE TO THE FIRST
EDITION* IX* INTRODUCTION* 1* CHAPTER 1. DYNAMICS OF SYSTEMS OF FINITELY
MANY PARTICLES* 3* I. CLASSICAL MECHANIES OF HAMILTONIAN SYSTEMS 3* 2.
EVOLUTION OPERATOR 18* 3. LIOUVILLE EQUATION 35* BIBLIOGRAPHICAL NOTES
42* CHAPTER 2. CAUCHY PROBLEM FOR THE BBGKY HIERARCHY* 45* 4.* BBGKY
HIERARCHY 45* 5.* FORMAL SOLUTIONS OFTHE CAUCHY PROBLEM FOR THE BBGKY
HIERARCHY 65* 6.* RIGOROUS CONSTRUCTION OF THE SOLUTION OF THE CAUCHY
PROBLEM FOR THE* BBGKY HIERARCHY OF EQUATIONS IN THE CASE OF SUMMABLE
INITIAL DATA 71* BIBLIOGRAPHICAL NOTES* 79* CHAPTER 3. EQUILIBRIUM
STATES. CANONICAL ENSEMBLE* 81* 7.* STATIONARY LIOUVILLE EQUATION.
EQUILIBRIUM GIBBS STATES 81* 8.* EXISTENCE OF SOLUTIONS OF THE
KIRKWOOD-SALSBURG EQUATIONS 92* 9.* EXISTENCE OF THE LIMIT CORRELATION
FUNCTIONS 102* 10.* UNIQUENESS OF THE LIMIT CORRELATION FUNCTIONS 114*
BIBLIOGRAPHICAL NOTES 122* VI* CONTENTS CHAPTER 4. EQUILIBRIUM STATES.
GRAND CANONICAL ENSEMBLE* 125* 11.* EQUATIONS FOR CORRELATION FUNCTIONS
125* 12.* KIRKWOOD-SALSBURG OPERATOR: SPECTRAL AND TOPOLOGICAL
PROPERTIES 136* 13.* STABLE AND SUPERSTABLE INTERACTIONS 149* 14.*
EQUILIBRIUM CORRELATION FUNCTIONS FOR ARBITRARY VALUES OF ACTIVITY 165*
15.* THERRNODYNAMIC LIMIT FOR ARBITRARY VALUES OF ACTIVITY 185* 16.*
GIBBS DISTRIBUTIONS 201* BIBLIOGRAPHICAL NOTES 221* CHAPTER 5.
THERMODYNAMIC LIMIT FOR NONEQUILIBRIUM SYSTEMS 225* 17.* SOLUTIONS OF
THE CAUCHY PROBLEM FOR THE BBGKY HIERARCHY OF* EQUATIONS IN THE SPACE OF
SEQUENCES OF BOUNDED FUNCTIONS 225* 18.* EVOLUTION OF A
THREE-DIMENSIONAL SYSTEM OF HARD SPHERES 249* 19.* BOLTZMANN-GRAD LIMIT
FOR THE SOLUTIONS OF THE BBGKY HIERARCHY 265* BIBLIOGRAPHICAL NOTES 276*
APPENDIX 1.* STATIONARY SOLUTIONS OF THE BBGKY HIERARCHY OF EQUATIONS
279* APPENDIX 2.* EXISTENCE OF THE HAMILTONIAN DYNAMICS OF SYSTEMS OF*
INFINITELY MANY PARTICLES 291* REFERENCES* 313* INDEX* 337*
|
| any_adam_object | 1 |
| author | Petrina, Dmitrij Ja Gerasimenko, Viktor I. Malyšev, Petr V. |
| author_facet | Petrina, Dmitrij Ja Gerasimenko, Viktor I. Malyšev, Petr V. |
| author_role | aut aut aut |
| author_sort | Petrina, Dmitrij Ja |
| author_variant | d j p dj djp v i g vi vig p v m pv pvm |
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| bvnumber | BV014676933 |
| callnumber-first | Q - Science |
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| classification_rvk | UG 3100 |
| ctrlnum | (OCoLC)49550434 (DE-599)BVBBV014676933 |
| dewey-full | 530.132 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.132 |
| dewey-search | 530.132 |
| dewey-sort | 3530.132 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV014676933 |
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| indexdate | 2024-07-09T19:04:59Z |
| institution | BVB |
| isbn | 0415273544 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009958115 |
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| physical | IX, 338 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Taylor & Francis |
| record_format | marc |
| series | Advanced studies in contemporary mathematics |
| series2 | Advanced studies in contemporary mathematics |
| spelling | Petrina, Dmitrij Ja. Verfasser aut Mathematical foundations of classical statistical mechanics continuous systems D. Ya. Petrina ; V. I. Gerasimenko ; P. V. Malyshev 2. ed. London [u.a.] Taylor & Francis 2002 IX, 338 S. txt rdacontent n rdamedia nc rdacarrier Advanced studies in contemporary mathematics 6 Aus dem Russ. übers. Mathematische Physik Mathematical physics Statistical mechanics Kontinuierliches System (DE-588)4263504-4 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s DE-604 Kontinuierliches System (DE-588)4263504-4 s Kontinuumsmechanik (DE-588)4032296-8 s 1\p DE-604 Gerasimenko, Viktor I. Verfasser aut Malyšev, Petr V. Verfasser aut Advanced studies in contemporary mathematics 6 (DE-604)BV000600809 6 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009958115&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Petrina, Dmitrij Ja Gerasimenko, Viktor I. Malyšev, Petr V. Mathematical foundations of classical statistical mechanics continuous systems Advanced studies in contemporary mathematics Mathematische Physik Mathematical physics Statistical mechanics Kontinuierliches System (DE-588)4263504-4 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4263504-4 (DE-588)4032296-8 (DE-588)4056999-8 |
| title | Mathematical foundations of classical statistical mechanics continuous systems |
| title_auth | Mathematical foundations of classical statistical mechanics continuous systems |
| title_exact_search | Mathematical foundations of classical statistical mechanics continuous systems |
| title_full | Mathematical foundations of classical statistical mechanics continuous systems D. Ya. Petrina ; V. I. Gerasimenko ; P. V. Malyshev |
| title_fullStr | Mathematical foundations of classical statistical mechanics continuous systems D. Ya. Petrina ; V. I. Gerasimenko ; P. V. Malyshev |
| title_full_unstemmed | Mathematical foundations of classical statistical mechanics continuous systems D. Ya. Petrina ; V. I. Gerasimenko ; P. V. Malyshev |
| title_short | Mathematical foundations of classical statistical mechanics |
| title_sort | mathematical foundations of classical statistical mechanics continuous systems |
| title_sub | continuous systems |
| topic | Mathematische Physik Mathematical physics Statistical mechanics Kontinuierliches System (DE-588)4263504-4 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Mathematische Physik Mathematical physics Statistical mechanics Kontinuierliches System Kontinuumsmechanik Statistische Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009958115&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000600809 |
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