Foundations of statistical mechanics: a deductive treatment
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Mineola, NY
Dover Publ.
2005
|
| Ausgabe: | 1. publ., unabridged reprint of the work orig. publ. by Pergamon Press, Oxford, 1970 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 262 S. |
| ISBN: | 0486438708 9780486438702 |
Internformat
MARC
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| 100 | 1 | |a Penrose, Oliver |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Foundations of statistical mechanics |b a deductive treatment |c Oliver Penrose |
| 250 | |a 1. publ., unabridged reprint of the work orig. publ. by Pergamon Press, Oxford, 1970 | ||
| 264 | 1 | |a Mineola, NY |b Dover Publ. |c 2005 | |
| 300 | |a X, 262 S. | ||
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Datensatz im Suchindex
| _version_ | 1804140792552357888 |
|---|---|
| adam_text | Contents
Preface v
The
Маш
Postulates of this Theory
vii
Preface to the Dover edition
viii
Chapter I Basic Assumptions
1
1.
Introduction
1
2.
Dynamics
7
2.1.
Exercises
17
3.
Observation
17
3.1.
Exercises
26
4.
Probability
26
5.
The Markovian postulate
32
5.1.
Exercises
39
6.
Two alternative approaches
39
Chapter
Π
Probability Theory
45
1.
Evente
45
1.1.
Exercises SO
2.
Random variables SO
2.1.
Exercise
55
3.
Statistical independence
SS
3.1.
Exercises
58
4.
Markov chains
59
4.1.
Exercises
64
5.
Classification of observational states
64
5.1.
Exercises
71
6.
Statistical equilibrium
71
6.1.
Exercises
75
7.
The approach to equilibrium
75
7.1.
Exercises
80
8.
Periodic ergodic sets
81
8.1.
Exercises
86
9.
The weak law of large numbers
86
9.1.
Exercises
93
Chapter HI The Gibbs Ensemble
94
1.
Introduction
94
2.
The phase-space density
96
2.1.
Exercise
99
3.
The classical Iiouville theorem
99
3.1.
Exercises
104
4.
The density matrix
105
4.1.
Exercises
Ш
5.
The
quantum
Iiouville theorem 111
5.1.
Exercises US
Ш
Contents
Chapter IV Probabilities from Dynamics
116
1.
Dynamical images of events
116
1.1.
Exercise
119
2.
Observational equivalence
120
2.1.
Exercise
123
3.
The classical accessibility postulate
123
3.1.
Exercises
127
4.
The quantum accessibility postulates
127
4.1.
Exercises
132
5.
The equilibrium ensemble
132
S.I. Exercises
138
6.
Coarse-grained ensembles
138
6.1.
Exercises
143
7.
The consistency condition
144
7.1.
Exercises
. 151
8.
Transient states
151
8.1.
Exercise 1S4
Chapter V BoUzmam Entropy 1SS
1.
Two fundamental properties of entropy
155
2.
Composite systems
161
2.1.
Exercise
167
3.
The additivity of entropy
167
3.1.
Exercises
172
4.
Large systems and the connection with thermodynamics
173
4.1.
Exercises
179
5.
Equilibrium fluctuations
180
5.1.
Exercises
186
6.
Equilibrium fluctuations in a classical gas
186
6.1.
Exercises
193
7.
The kinetic equation for a classical gas
193
8.
Boltzmann s
Я
theorem
199
8.1.
Exercise
207
Chapter VI Statistical Entropy
208
1.
The definition of statistical entropy
208
1.1.
Exercises
215
2.
Additivity properties of statistical entropy
216
2.1.
Exercises
220
3.
Perpetual motion
221
3.1.
Exercise
226
4.
Entropy and information
226
5.
Entropy changes in the observer
231
5.1.
Exercises
238
Solutions to Exercises
239
Index
249
Errata
261
iv
|
| any_adam_object | 1 |
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| author_facet | Penrose, Oliver |
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| author_sort | Penrose, Oliver |
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| ctrlnum | (OCoLC)58522914 (DE-599)BSZ260711683 |
| dewey-full | 530.1/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-raw | 530.1/3 |
| dewey-search | 530.1/3 |
| dewey-sort | 3530.1 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ., unabridged reprint of the work orig. publ. by Pergamon Press, Oxford, 1970 |
| format | Book |
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| id | DE-604.BV035830474 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:05:37Z |
| institution | BVB |
| isbn | 0486438708 9780486438702 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018689016 |
| oclc_num | 58522914 |
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| owner | DE-703 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-91G DE-BY-TUM |
| physical | X, 262 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Dover Publ. |
| record_format | marc |
| spelling | Penrose, Oliver Verfasser aut Foundations of statistical mechanics a deductive treatment Oliver Penrose 1. publ., unabridged reprint of the work orig. publ. by Pergamon Press, Oxford, 1970 Mineola, NY Dover Publ. 2005 X, 262 S. txt rdacontent n rdamedia nc rdacarrier Mecânica estatística larpcal Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018689016&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Penrose, Oliver Foundations of statistical mechanics a deductive treatment Mecânica estatística larpcal Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4056999-8 |
| title | Foundations of statistical mechanics a deductive treatment |
| title_auth | Foundations of statistical mechanics a deductive treatment |
| title_exact_search | Foundations of statistical mechanics a deductive treatment |
| title_full | Foundations of statistical mechanics a deductive treatment Oliver Penrose |
| title_fullStr | Foundations of statistical mechanics a deductive treatment Oliver Penrose |
| title_full_unstemmed | Foundations of statistical mechanics a deductive treatment Oliver Penrose |
| title_short | Foundations of statistical mechanics |
| title_sort | foundations of statistical mechanics a deductive treatment |
| title_sub | a deductive treatment |
| topic | Mecânica estatística larpcal Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Mecânica estatística Statistical mechanics Statistische Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018689016&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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