Nonequilibrium and irreversibility:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | Theoretical and mathematical physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 248 S. Ill., graph. Darst. |
| ISBN: | 9783319067575 9783319067582 |
Internformat
MARC
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| 100 | 1 | |a Gallavotti, Giovanni |d 1941- |e Verfasser |0 (DE-588)120874636 |4 aut | |
| 245 | 1 | 0 | |a Nonequilibrium and irreversibility |c Giovanni Gallavotti |
| 264 | 1 | |a Cham [u.a.] |b Springer |c 2014 | |
| 300 | |a XV, 248 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Theoretical and mathematical physics | |
| 650 | 0 | 7 | |a Nichtgleichgewicht |0 (DE-588)4171730-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stationärer Zustand |0 (DE-588)4318035-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Irreversibler Prozess |0 (DE-588)4027687-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Chaotisches System |0 (DE-588)4316104-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Chaotisches System |0 (DE-588)4316104-2 |D s |
| 689 | 0 | 1 | |a Stationärer Zustand |0 (DE-588)4318035-8 |D s |
| 689 | 0 | 2 | |a Nichtgleichgewicht |0 (DE-588)4171730-2 |D s |
| 689 | 0 | 3 | |a Irreversibler Prozess |0 (DE-588)4027687-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o 10.1007/978-3-319-06758-2 |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-027441239 | ||
Datensatz im Suchindex
| _version_ | 1804152408185503744 |
|---|---|
| adam_text | Contents
Equilibrium
......................................... 1
1.1
Many Particles Systems: Kinematics, Timing
............. 1
1.2
Birth of Kinetic Theory
............................ 3
1.3
Heat Theorem and Ergodic Hypothesis
.................. 6
1.4
Least Action and Heat Theorem
...................... 9
1.5
Heat Theorem and Ensembles
........................ 12
1.6
Boltzmann s Equation, Entropy,
Loschmidťs
Paradox
....... 15
1.7
Conclusion
..................................... 19
References
.......................................... 20
Stationary Nonequilibrium
.............................. 23
2.1
Thermostats and Infinite Models
...................... 23
2.2
Finite Thermostats
................................ 25
2.3
Examples of Nonequilibrium Problems
.................. 27
2.4
Initial Data
..................................... 29
2.5
Finite or Infinite Thermostats? Equivalence?
.............. 32
2.6
SRB
Distributions
................................ 34
2.7
Chaotic Hypothesis
............................... 36
2.8
Phase Space Contraction in Continuous Time
............. 37
2.9
Phase Space Contraction in Timed Observations
........... 40
2.10
Conclusions
....................................... 42
References
.......................................... 43
Discrete Phase Space
................................... 45
3.1
Recurrence
..................................... 45
3.2
Hyperbolicity: Stable and Unstable Manifolds
............. 47
3.3
Geometric Aspects of Hyperbolicity: Rectangles
........... 49
3.4
Symbolic Dynamics and Chaos
....................... 51
3.5
Examples of Hyperbolic Symbolic Dynamics
............. 54
3.6
Coarse Graining and Discrete Phase Space
............... 55
3.7
Coarse Cells, Phase Space Points and Simulations
.......... 57
3.8
The
SRB
Distribution: Its Physical Meaning
.............. 59
3.9
Other Stationary Distributions
........................ 61
3.10
Phase Space Cells and Entropy
....................... 62
ХШ
xjv
Contents
3.11
Counting Phase Space Cells Out of Equilibrium
........... 64
3.12
kslogAf:
Entropy or Lyapunov Function?
............... 66
References
.......................................... 67
4
Fluctuations
......................................... 69
4.1
SRB
Potentials
................................... 69
4.2
Chaos and Markov Processes.
........................ 71
4.3
Symmetries and Time Reversal
....................... 73
4.4
Painng Rule and Axiom
С
.......................... 75
4.5
Large Deviations
................................. 78
4.6
Time Reversal and Fluctuation Theorem
................. 79
4.7
Fluctuation Patterns
............................... 82
4.8
Onsager Reciprocity, Green-
Kubo
Formula, Fluctuation
Theorem
....................................... 84
4.9
Local Fluctuations: An Example
...................... 86
4.10
Local Fluctuations: Generalities
....................... 88
4.11
Quantum Systems, Thermostats and Nonequilibrium
........ 90
4.12
Quantum Adiabatic Approximation and Alternatives
........ 93
References
.......................................... 95
5
Applications
......................................... 99
5.1
Equivalent Thermostats
............................. 99
5.2
Granular Materials and Friction
....................... 101
5.3
Neglecting Granular Friction: The Relevant Time Scales
..... 104
5.4
Simulations for Granular
Matenals
..................... 106
5.5
Fluids
......................................... 108
5.6
Developed Turbulence
.............................
Ill
5.7
Intermittency
.................................... 112
5.8
Stochastic Evolutions
.............................. 116
5.9
Very Large Fluctuations
............................ 118
5.10
Thermometry
...................... ,.............. 120
5.11
Processes Time Scale and
Irreversibili
ty.................
122
References
.......................................... 128
6
Historical Comments
................................... 131
6.1
Proof of the Second Fundamental Theorem
............... 131
6.2
Collision Analysis and Equipartition
.................... 141
6.3
Dense Orbits: An Example
.......................... 150
6.4
Clausius Version of Recurrence and Periodicity
........... 151
6.5
Clausius Mechanical Proof of the Heat Theorem
.......... 152
6.6
Priority Discussion of Boltzmann (vs. Clausius)
........... 155
6.7
Priority Discussion: Clausius Reply
.................... 156
6.8
On the Ergodic Hypothesis (Trilogy:
#1)................ 161
6.9
Canonical Ensemble and Ergodic Hypothesis (Trilogy.
#2). ... 166
Contents xv
6.10
Heat
Theorem
Without Dynamics (Trilogy:
#3)............ 170
6.11
Irreversibili
ty:
Loschmidt and Boltzmann s Sea
.......... 171
6.12
Discrete Phase Space, Count of Its Points and Entropy
....... 178
6.13
Monocyclic and Orthodic Systems: Ensembles
............ 182
6.14
Maxwell
1866................................... 191
6.14.1
Friction Phenomenology
...................... 192
6.14.2
Collision Kinematics
........................ 193
6.14.3
Observables
Variation upon Collision
............. 193
6.14.4
About the Precarious Assumption
.............. 195
6.14.5
Balance of the Variations of Key
Observables
....... 195
6.14.6
Towards the
Continua
........................ 196
6.14.7
Weak Boltzmann Equation
.................. 197
6.14.8
The Heat Conduction Example
................. 198
References
.......................................... 199
Appendices
............................................ 201
Author Index
.......................................... 241
Subject Index
.......................................... 245
|
| any_adam_object | 1 |
| author | Gallavotti, Giovanni 1941- |
| author_GND | (DE-588)120874636 |
| author_facet | Gallavotti, Giovanni 1941- |
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| author_sort | Gallavotti, Giovanni 1941- |
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| building | Verbundindex |
| bvnumber | BV041999142 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.7-175.36 |
| callnumber-search | QC174.7-175.36 |
| callnumber-sort | QC 3174.7 3175.36 |
| callnumber-subject | QC - Physics |
| classification_rvk | UG 2000 UG 3100 UG 3500 |
| ctrlnum | (OCoLC)891960770 (DE-599)OBVAC11801254 |
| dewey-full | 621 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621 |
| dewey-search | 621 |
| dewey-sort | 3621 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV041999142 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:10:14Z |
| institution | BVB |
| isbn | 9783319067575 9783319067582 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027441239 |
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| physical | XV, 248 S. Ill., graph. Darst. |
| publishDate | 2014 |
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| publishDateSort | 2014 |
| publisher | Springer |
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| series2 | Theoretical and mathematical physics |
| spelling | Gallavotti, Giovanni 1941- Verfasser (DE-588)120874636 aut Nonequilibrium and irreversibility Giovanni Gallavotti Cham [u.a.] Springer 2014 XV, 248 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Theoretical and mathematical physics Nichtgleichgewicht (DE-588)4171730-2 gnd rswk-swf Stationärer Zustand (DE-588)4318035-8 gnd rswk-swf Irreversibler Prozess (DE-588)4027687-9 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 s Stationärer Zustand (DE-588)4318035-8 s Nichtgleichgewicht (DE-588)4171730-2 s Irreversibler Prozess (DE-588)4027687-9 s DE-604 Erscheint auch als Online-Ausgabe 10.1007/978-3-319-06758-2 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027441239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gallavotti, Giovanni 1941- Nonequilibrium and irreversibility Nichtgleichgewicht (DE-588)4171730-2 gnd Stationärer Zustand (DE-588)4318035-8 gnd Irreversibler Prozess (DE-588)4027687-9 gnd Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4171730-2 (DE-588)4318035-8 (DE-588)4027687-9 (DE-588)4316104-2 |
| title | Nonequilibrium and irreversibility |
| title_auth | Nonequilibrium and irreversibility |
| title_exact_search | Nonequilibrium and irreversibility |
| title_full | Nonequilibrium and irreversibility Giovanni Gallavotti |
| title_fullStr | Nonequilibrium and irreversibility Giovanni Gallavotti |
| title_full_unstemmed | Nonequilibrium and irreversibility Giovanni Gallavotti |
| title_short | Nonequilibrium and irreversibility |
| title_sort | nonequilibrium and irreversibility |
| topic | Nichtgleichgewicht (DE-588)4171730-2 gnd Stationärer Zustand (DE-588)4318035-8 gnd Irreversibler Prozess (DE-588)4027687-9 gnd Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | Nichtgleichgewicht Stationärer Zustand Irreversibler Prozess Chaotisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027441239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT gallavottigiovanni nonequilibriumandirreversibility |