Scaling limits in statistical mechanics and microstructures in continuum mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2009
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| Schriftenreihe: | Theoretical and mathematical physics
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| Schlagworte: | |
| Online-Zugang: | Scaling limits in statistical mechanics and microstructures in continuum mechanics Inhaltsverzeichnis |
| Beschreibung: | XVI, 467 S. graph. Darst. |
| ISBN: | 9783540733041 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804138593125400576 |
|---|---|
| adam_text | GESCANNT DURCH CONTENTS PREFACE V 1 INTRODUCTION 1 1. 1 THE MACROSCOPIC
THEORY 2 1.2 THE MESOSCOPIC THEORY 4 1.3 THE MICROSCOPIC THEORY 7 1.4
KAC POTENTIALS AND THE MESOSCOPIC LIMIT 10 1.5 NOTES FOR THE READER 12
PART I STATISTICAL MECHANICS OF ISING SYSTEMS 2 THERMODYNAMIC LIMIT IN
THE ISING MODEL 17 2.1 FINITE VOLUME GIBBS MEASURES 17 2.1.1 SPIN
CONFIGURATIONS, PHASE SPACE 18 2.1.2 ENERGY 18 2.1.3 POTENTIALS 20 2.1.4
FINITE VOLUME GIBBS MEASURES 21 2.1.5 A CONSISTENCY PROPERTY OF GIBBS
MEASURES 23 2.1.6 RANDOM BOUNDARY CONDITIONS 25 2.1.7 STRUCTURE OF
FINITE VOLUME GIBBS MEASURES 27 2.2 THERMODYNAMIC LIMIT AND DLR MEASURES
28 2.2.1 DLR MEASURES 30 2.2.2 THERMODYNAMIC LIMITS OF GIBBS MEASURES 31
2.2.3 PURE STATES AND EXTREMAL DLR MEASURES 33 2.2.4 SIMPLICIAL
STRUCTURE OF DLR MEASURES 35 2.2.5 SIGMA ALGEBRA AT INFINITY 36 2.2.6
PURE PHASES, PHASE TRANSITIONS 38 2.2.7 ERGODIC DECOMPOSITION 39 2.3
BOLTZMANN HYPOTHESIS, ENTROPY AND PRESSURE 42 2.3.1 AN EXAMPLE FROM
INFORMATION THEORY 42 2.3.2 BOLTZMANN HYPOTHESIS 43 2.3.3 THERMODYNAMIC
LIMIT OF THE PRESSURE 48 IX BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/984419365 DIGITALISIERT DURCH * * * * * * * * * * * * *
* * * * * * * * * * * * XVI CONTENTS PART IV APPENDICES A ISING MODEL,
TOPOLOGY AND MEASURE THEORY 435 A. 1 THE GROUP OF TRANSLATIONS 435 A.2
SURFING FORMULA 437 A.3 ISING MODEL. TOPOLOGICAL PROPERTIES 437 A.4
SPACE OF PROBABILITIES 439 A.5 EXTENSIONS THEOREMS 440 A.6 EXISTENCE OF
CONDITIONAL PROBABILITIES 440 A.7 UNIQUENESS 443 A.8 SUPPORT PROPERTIES
444 A.9 SPACE TRANSLATIONS AND THE ERGODIC DECOMPOSITION 446 A.10 LIMITS
OF DECREASING A-ALGEBRAS 448 A.LL LIMITS OFINCREASING B GEOMETRIE
MEASURE THEORY 453 B.L BASIC NOTIONS 453 B.2 POLYGONAL APPROXIMATIONS
454 REFERENCES 457 INDEX 465
|
| any_adam_object | 1 |
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| callnumber-first | Q - Science |
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| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
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| indexdate | 2024-07-09T21:30:39Z |
| institution | BVB |
| isbn | 9783540733041 |
| language | English |
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| physical | XVI, 467 S. graph. Darst. |
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| spelling | Presutti, Errico Verfasser aut Scaling limits in statistical mechanics and microstructures in continuum mechanics Errico Presutti Berlin [u.a.] Springer 2009 XVI, 467 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Theoretical and mathematical physics Continuum mechanics Micromechanics Scaling laws (Statistical physics) Statistical mechanics Mesoskopisches System (DE-588)4280799-2 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Skalierungsgesetz (DE-588)4205012-1 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s Skalierungsgesetz (DE-588)4205012-1 s Mesoskopisches System (DE-588)4280799-2 s Kontinuumsmechanik (DE-588)4032296-8 s DE-604 Erscheint auch als Online-Ausgabe 978-3-540-73305-8 http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2645748&custom_att_2=simple_viewer Verlagsdaten Springer Scaling limits in statistical mechanics and microstructures in continuum mechanics DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017100089&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Presutti, Errico Scaling limits in statistical mechanics and microstructures in continuum mechanics Continuum mechanics Micromechanics Scaling laws (Statistical physics) Statistical mechanics Mesoskopisches System (DE-588)4280799-2 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Statistische Mechanik (DE-588)4056999-8 gnd Skalierungsgesetz (DE-588)4205012-1 gnd |
| subject_GND | (DE-588)4280799-2 (DE-588)4032296-8 (DE-588)4056999-8 (DE-588)4205012-1 |
| title | Scaling limits in statistical mechanics and microstructures in continuum mechanics |
| title_auth | Scaling limits in statistical mechanics and microstructures in continuum mechanics |
| title_exact_search | Scaling limits in statistical mechanics and microstructures in continuum mechanics |
| title_full | Scaling limits in statistical mechanics and microstructures in continuum mechanics Errico Presutti |
| title_fullStr | Scaling limits in statistical mechanics and microstructures in continuum mechanics Errico Presutti |
| title_full_unstemmed | Scaling limits in statistical mechanics and microstructures in continuum mechanics Errico Presutti |
| title_short | Scaling limits in statistical mechanics and microstructures in continuum mechanics |
| title_sort | scaling limits in statistical mechanics and microstructures in continuum mechanics |
| topic | Continuum mechanics Micromechanics Scaling laws (Statistical physics) Statistical mechanics Mesoskopisches System (DE-588)4280799-2 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Statistische Mechanik (DE-588)4056999-8 gnd Skalierungsgesetz (DE-588)4205012-1 gnd |
| topic_facet | Continuum mechanics Micromechanics Scaling laws (Statistical physics) Statistical mechanics Mesoskopisches System Kontinuumsmechanik Statistische Mechanik Skalierungsgesetz |
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