Statistical dynamics: a stochastic approach to nonequilibrium thermodynamics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
2009
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | X, 382 S. graph. Darst. |
| ISBN: | 9781848162440 1848162448 9781848162501 1848162502 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV035683984 | ||
| 003 | DE-604 | ||
| 005 | 20100730 | ||
| 007 | t | ||
| 008 | 090819s2009 xxud||| |||| 00||| eng d | ||
| 010 | |a 2008050134 | ||
| 020 | |a 9781848162440 |c hardcover : alk. paper |9 978-1-84816-244-0 | ||
| 020 | |a 1848162448 |c hardcover : alk. paper |9 1-84816-244-8 | ||
| 020 | |a 9781848162501 |c pbk. : alk. paper |9 978-1-84816-250-1 | ||
| 020 | |a 1848162502 |c pbk. : alk. paper |9 1-84816-250-2 | ||
| 035 | |a (OCoLC)228372488 | ||
| 035 | |a (DE-599)BVBBV035683984 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-703 |a DE-29T |a DE-11 |a DE-91G |a DE-19 | ||
| 050 | 0 | |a QC318.I7 | |
| 082 | 0 | |a 536/.7 | |
| 084 | |a UG 3500 |0 (DE-625)145626: |2 rvk | ||
| 084 | |a PHY 057f |2 stub | ||
| 100 | 1 | |a Streater, Raymond Frederick |d 1936- |e Verfasser |0 (DE-588)107735717 |4 aut | |
| 245 | 1 | 0 | |a Statistical dynamics |b a stochastic approach to nonequilibrium thermodynamics |c R. F. Streater |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a London |b Imperial College Press |c 2009 | |
| 300 | |a X, 382 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 4 | |a Nonequilibrium thermodynamics |x Statistical methods | |
| 650 | 4 | |a Stochastic processes | |
| 650 | 0 | 7 | |a Statistische Mechanik |0 (DE-588)4056999-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtgleichgewichtsthermodynamik |0 (DE-588)4130850-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistische Thermodynamik |0 (DE-588)4126251-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stochastik |0 (DE-588)4121729-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Statistische Thermodynamik |0 (DE-588)4126251-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Statistische Mechanik |0 (DE-588)4056999-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Nichtgleichgewichtsthermodynamik |0 (DE-588)4130850-5 |D s |
| 689 | 2 | 1 | |a Stochastik |0 (DE-588)4121729-9 |D s |
| 689 | 2 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017738200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017738200 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804139392188547072 |
|---|---|
| adam_text | Contents
Preface
v
Classical Statistical Dynamics
1
1.
Introduction
3
2.
Probability Theory
13
2.1
Sample Spaces and States
.................. 13
2.2
Random Variables, Algebras
................. 24
2.3
Entropy
............................ 34
2.4
Exercises
........................... 39
3.
Linear Dynamics
43
3.1
Reversible Dynamics
..................... 43
3.2
Random Dynamics
...................... 48
3.3
Convergence to Equilibrium
................. 60
3.4
Markov Chains
........................ 66
3.5
Exercises
........................... 69
4.
Isolated Dynamics
73
4.1
The Boltzmann Map
..................... 73
4.2
The Heat-Particle
...................... 87
4.3
The Hard-Core Model of Chemical Kinetics
........ 94
4.3.1
Isomers and
Dimisión
in a Force-Field
....... 95
4.3.2
Markov Dynamics
.................. 100
4.3.3
Entropy Production
................. 102
viii
Statistical
Dynamics
4.3.4
Osmosis
....................... 103
4.3.5
Exchange Diffusion
................. 104
4.3.6
General Diffusions
.................. 105
4.4
Chemical Reactions
..................... 106
4.4.1
Unimolecular Reactions
............... 106
4.4.2
Balanced Reactions
................. 107
4.5
Energy of Solvation
......................
Ill
4.6
Activity-led Reactions
....................
Ill
4.7
Exercises
........................... 119
5.
Isothermal Dynamics
123
5.1
Legendre Transforms
..................... 124
5.2
The Free-energy Theorem
.................. 126
5.3
Chemical Kinetics
...................... 130
5.4
Convergence in Norm
.................... 137
5.5
Dilation of Markov Chains
.................. 146
5.6
Exercises
........................... 149
6.
Driven Systems
151
6.1
Sources and Sinks
...................... 151
6.2
A Poor Conductor
...................... 152
6.3
A Driven Chemical System
................. 155
6.4
How to Add Noise
...................... 162
6.5
Exercises
........................... 165
7.
Fluid Dynamics
167
7.1
Hydrostatics of a Gas of Hard Spheres
........... 168
7.2
The Fundamental Equation
................. 171
7.3
The
Euler
Equations
..................... 177
7.4
Entropy Production
..................... 178
7.5
A Correct Navier-Stokes System
.............. 181
Quantum Statistical Dynamics
187
8.
Introduction to Quantum Theory
189
9.
Quantum Probability
197
Contents ix
9.1
Algebras of
Observables
................... 197
9.2
States
............................. 204
9.3
Quantum Entropy
...................... 213
9.4
Exercises
........................... 217
10.
Linear Quantum Dynamics
221
10.1
Reversible Dynamics
..................... 221
10.2
Random Quantum Dynamics
................ 224
10.3
Quantum Dynamical Maps
................. 228
10.4
Exercises
........................... 236
11.
Isolated Quantum Dynamics
237
11.1
The Quantum Boltzmann Map
............... 237
11.2
The Quantum Heat-Particle
................. 240
11.3
Fermions
and Ions with a Hard Core
............ 256
11.4
The Quantum Boltzmann Equation
............. 272
11.5
Exercises
........................... 281
12.
Isothermal and Driven Systems
283
12.1
Isothermal Quantum Dynamics
............... 283
12.2
Convergence to Equilibrium
................. 289
12.3
Driven Quantum Systems
.................. 292
12.4
Exercises
........................... 296
13.
Infinite Systems
297
13.1
The Algebra of an Infinite System
............. 299
13.2
The Reversible Dynamics
.................. 300
13.3
Return to Equilibrium
.................... 302
13.4
Irreversible Linear Dynamics
................ 306
13.5
Exercises
........................... 309
14.
Proof of the Second Law
311
14.1 von
Neumann Entropy
.................... 311
14.2
Entropy Increase in Quantum Mechanics
.......... 312
14.3
The Quantum
Кас
Model
.................. 314
14.4
Equilibrium
.......................... 315
14.5
Thee-Limit
.......................... 316
14.6
The Marginals and Entropy
................. 316
χ
Statistical Dynamics
14.7
The Results
.......................... 317
15.
Information Geometry
319
15.1
The Jaynes-Ingarden Theory
................ 319
15.2
Non-Linear Ising Dynamics
................. 322
15.3
Ising Model Close to Equilibrium
.............. 327
15.4
Non-linear
Heisenberg
Model
................ 329
15.5
Estimation; the Cramer-Rao Inequality
.......... 333
15.6
Efron,
Dawid
and
Amari
................... 337
15.7
Entropy Methods, Exponential Families
.......... 340
15.8
The Work of
Pistone
and
Sempi
.............. 341
15.9
The Finite-Dimensional Quantum Info-Manifold
..... 346
15.10
Araki
s
Expansionals
and the Analytic Manifold
..... 352
15.11
The Quantum Young Function
............... 354
15.12
The Quantum Cramer Class
................. 359
15.13
The Parameter-Free Quantum Manifold
.......... 360
15.14
Exercises
........................... 364
Bibliography
367
Index
377
|
| any_adam_object | 1 |
| author | Streater, Raymond Frederick 1936- |
| author_GND | (DE-588)107735717 |
| author_facet | Streater, Raymond Frederick 1936- |
| author_role | aut |
| author_sort | Streater, Raymond Frederick 1936- |
| author_variant | r f s rf rfs |
| building | Verbundindex |
| bvnumber | BV035683984 |
| callnumber-first | Q - Science |
| callnumber-label | QC318 |
| callnumber-raw | QC318.I7 |
| callnumber-search | QC318.I7 |
| callnumber-sort | QC 3318 I7 |
| callnumber-subject | QC - Physics |
| classification_rvk | UG 3500 |
| classification_tum | PHY 057f |
| ctrlnum | (OCoLC)228372488 (DE-599)BVBBV035683984 |
| dewey-full | 536/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 536 - Heat |
| dewey-raw | 536/.7 |
| dewey-search | 536/.7 |
| dewey-sort | 3536 17 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02409nam a2200577zc 4500</leader><controlfield tag="001">BV035683984</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20100730 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090819s2009 xxud||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2008050134</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781848162440</subfield><subfield code="c">hardcover : alk. paper</subfield><subfield code="9">978-1-84816-244-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1848162448</subfield><subfield code="c">hardcover : alk. paper</subfield><subfield code="9">1-84816-244-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781848162501</subfield><subfield code="c">pbk. : alk. paper</subfield><subfield code="9">978-1-84816-250-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1848162502</subfield><subfield code="c">pbk. : alk. paper</subfield><subfield code="9">1-84816-250-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)228372488</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035683984</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC318.I7</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">536/.7</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UG 3500</subfield><subfield code="0">(DE-625)145626:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 057f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Streater, Raymond Frederick</subfield><subfield code="d">1936-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)107735717</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Statistical dynamics</subfield><subfield code="b">a stochastic approach to nonequilibrium thermodynamics</subfield><subfield code="c">R. F. Streater</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Imperial College Press</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 382 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nonequilibrium thermodynamics</subfield><subfield code="x">Statistical methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic processes</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistische Mechanik</subfield><subfield code="0">(DE-588)4056999-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtgleichgewichtsthermodynamik</subfield><subfield code="0">(DE-588)4130850-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistische Thermodynamik</subfield><subfield code="0">(DE-588)4126251-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastik</subfield><subfield code="0">(DE-588)4121729-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Statistische Thermodynamik</subfield><subfield code="0">(DE-588)4126251-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Statistische Mechanik</subfield><subfield code="0">(DE-588)4056999-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Nichtgleichgewichtsthermodynamik</subfield><subfield code="0">(DE-588)4130850-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Stochastik</subfield><subfield code="0">(DE-588)4121729-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017738200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-017738200</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV035683984 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:43:21Z |
| institution | BVB |
| isbn | 9781848162440 1848162448 9781848162501 1848162502 |
| language | English |
| lccn | 2008050134 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017738200 |
| oclc_num | 228372488 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-11 DE-91G DE-BY-TUM DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-29T DE-11 DE-91G DE-BY-TUM DE-19 DE-BY-UBM |
| physical | X, 382 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Imperial College Press |
| record_format | marc |
| spelling | Streater, Raymond Frederick 1936- Verfasser (DE-588)107735717 aut Statistical dynamics a stochastic approach to nonequilibrium thermodynamics R. F. Streater 2. ed. London Imperial College Press 2009 X, 382 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references Nonequilibrium thermodynamics Statistical methods Stochastic processes Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd rswk-swf Statistische Thermodynamik (DE-588)4126251-7 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Statistische Thermodynamik (DE-588)4126251-7 s DE-604 Statistische Mechanik (DE-588)4056999-8 s Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 s Stochastik (DE-588)4121729-9 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017738200&sequence=000002&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 | Streater, Raymond Frederick 1936- Statistical dynamics a stochastic approach to nonequilibrium thermodynamics Nonequilibrium thermodynamics Statistical methods Stochastic processes Statistische Mechanik (DE-588)4056999-8 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd Stochastik (DE-588)4121729-9 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4130850-5 (DE-588)4126251-7 (DE-588)4121729-9 (DE-588)4123623-3 |
| title | Statistical dynamics a stochastic approach to nonequilibrium thermodynamics |
| title_auth | Statistical dynamics a stochastic approach to nonequilibrium thermodynamics |
| title_exact_search | Statistical dynamics a stochastic approach to nonequilibrium thermodynamics |
| title_full | Statistical dynamics a stochastic approach to nonequilibrium thermodynamics R. F. Streater |
| title_fullStr | Statistical dynamics a stochastic approach to nonequilibrium thermodynamics R. F. Streater |
| title_full_unstemmed | Statistical dynamics a stochastic approach to nonequilibrium thermodynamics R. F. Streater |
| title_short | Statistical dynamics |
| title_sort | statistical dynamics a stochastic approach to nonequilibrium thermodynamics |
| title_sub | a stochastic approach to nonequilibrium thermodynamics |
| topic | Nonequilibrium thermodynamics Statistical methods Stochastic processes Statistische Mechanik (DE-588)4056999-8 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd Stochastik (DE-588)4121729-9 gnd |
| topic_facet | Nonequilibrium thermodynamics Statistical methods Stochastic processes Statistische Mechanik Nichtgleichgewichtsthermodynamik Statistische Thermodynamik Stochastik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017738200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT streaterraymondfrederick statisticaldynamicsastochasticapproachtononequilibriumthermodynamics |