Statistical mechanics of the Toda lattices:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Kyoto
Nacos
2009
|
| Ausgabe: | Rev. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Frühere Ausg. u.d.T.: Horii, Zene: Nonlinear lattice statistical mechanics |
| Beschreibung: | 176 S. graph. Darst. |
| ISBN: | 9784879746214 |
Internformat
MARC
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| 008 | 091002s2009 d||| |||| 00||| eng d | ||
| 020 | |a 9784879746214 |9 978-4-87974-621-4 | ||
| 035 | |a (OCoLC)457576937 | ||
| 035 | |a (DE-599)BVBBV035751637 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
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| 100 | 1 | |a Horii, Zene |e Verfasser |0 (DE-588)139277412 |4 aut | |
| 245 | 1 | 0 | |a Statistical mechanics of the Toda lattices |c Zene Horii |
| 246 | 1 | 3 | |a Toda lattices |
| 250 | |a Rev. ed. | ||
| 264 | 1 | |a Kyoto |b Nacos |c 2009 | |
| 300 | |a 176 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Frühere Ausg. u.d.T.: Horii, Zene: Nonlinear lattice statistical mechanics | ||
| 650 | 7 | |a Mecânica estatística |2 larpcal | |
| 650 | 4 | |a Lattice dynamics | |
| 650 | 4 | |a Statistical mechanics | |
| 650 | 0 | 7 | |a Statistische Mechanik |0 (DE-588)4056999-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Gitterwelle |0 (DE-588)4202606-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Liouville-Gleichung |0 (DE-588)4167784-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Statistische Mechanik |0 (DE-588)4056999-8 |D s |
| 689 | 0 | 1 | |a Nichtlineare Gitterwelle |0 (DE-588)4202606-4 |D s |
| 689 | 0 | 2 | |a Liouville-Gleichung |0 (DE-588)4167784-5 |D s |
| 689 | 0 | |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=018611684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018611684 | ||
Datensatz im Suchindex
| _version_ | 1804140670378573824 |
|---|---|
| adam_text | Contents
1
Introduction
15
1.1 An
extension
of the classical Liouville theorem
15
1.2
Exposition of the basic Proposition
...... 18
1.3
Conservation laws related to the two
completely
integrable
systems
......... 21
1.4
The Liouville universe
............. 23
1.5
The
Toda
universe
............... 27
1.6
Toward a unified understanding of the
Liouville and
Toda
universes
.......... 30
1.7
Organization of the monograph
........ 33
2
Framework of nonlinear lattice
statistical mechanics
37
2.1
Spinodal decomposition
............ 38
2.2
Formulating an extended Liouville
equation
..................... 40
2.3
Definition of concentration flow variables
... 43
2.4
Formulation of mass transport equations
... 46
2.5
Molecular basis of nonlinear mass
transport
.................... 56
2.6
Mass conservation in the linear regime
.... 58
2.7
The D. I. Benney criterion
[16]......... 64
3
The Liouville universe:
The Boltzmann
Я
-function and
the Liouville theorem
68
3.1
The Boltzmann
Я
-function ..........
70
3.2
The classical Liouville theorem
........ 76
3.3
Transport theory from the classical
Liouville equation
................ 80
12
4
The Toda
universe:
KdV equation in hydrodynamics
89
4.1
Bi-Hamiltonian theory of KdV system
.... 92
4.2
The Miura transform between the KdV
and modified KdV equations
.......... 95
4.3
Exploring the mass conservation system
in
Lagrange
mechanics
............. 100
5
Chemical response theory
108
5.1
A KdV-perturbation form appropriate
to the chemical response theory
........ 110
5.2
Perturbation by wave-wave interactions
.... 115
5.3
The two dimensional KdV equation
...... 119
6
The Burgers equation
124
6.1
Revisiting the Boltzmann H-function
toward a Burgers i/ -function
......... 126
6.2
Burgers-specific i/*-function
.......... 129
6.3
A relation between Burgers system and
a nonlinear diffusion
.............. 135
7
The Burgers equation: Diffusion
coefficient
138
7.1
Formulation from the nonlinear master
equation
[2]................... 144
7.2
Formulation from the first formalism
(chemical response theory)
[3]......... 144
7.3
Formulation from the second formalism
[4] . . 147
7.4
Formulation of the two-dimensional
Burgers equation
[5] .............. 149
7.5
Summary:
.................... 150
13
8
The extended Liouville theorem proved
152
8.1
Brownian motion:
Transition from the imaginary to real
coordínatelos
8.2
Formulation of a bi-Liouville equation
..... 161
9
Concluding Remarks
166
A Appendix: Complete integrability of the KdV
system
169
14
|
| any_adam_object | 1 |
| author | Horii, Zene |
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| classification_rvk | UG 3100 |
| classification_tum | PHY 057f |
| ctrlnum | (OCoLC)457576937 (DE-599)BVBBV035751637 |
| discipline | Physik |
| edition | Rev. ed. |
| format | Book |
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| id | DE-604.BV035751637 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:03:40Z |
| institution | BVB |
| isbn | 9784879746214 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018611684 |
| oclc_num | 457576937 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-703 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-703 |
| physical | 176 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Nacos |
| record_format | marc |
| spelling | Horii, Zene Verfasser (DE-588)139277412 aut Statistical mechanics of the Toda lattices Zene Horii Toda lattices Rev. ed. Kyoto Nacos 2009 176 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Frühere Ausg. u.d.T.: Horii, Zene: Nonlinear lattice statistical mechanics Mecânica estatística larpcal Lattice dynamics Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Nichtlineare Gitterwelle (DE-588)4202606-4 gnd rswk-swf Liouville-Gleichung (DE-588)4167784-5 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s Nichtlineare Gitterwelle (DE-588)4202606-4 s Liouville-Gleichung (DE-588)4167784-5 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=018611684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Horii, Zene Statistical mechanics of the Toda lattices Mecânica estatística larpcal Lattice dynamics Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd Nichtlineare Gitterwelle (DE-588)4202606-4 gnd Liouville-Gleichung (DE-588)4167784-5 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4202606-4 (DE-588)4167784-5 |
| title | Statistical mechanics of the Toda lattices |
| title_alt | Toda lattices |
| title_auth | Statistical mechanics of the Toda lattices |
| title_exact_search | Statistical mechanics of the Toda lattices |
| title_full | Statistical mechanics of the Toda lattices Zene Horii |
| title_fullStr | Statistical mechanics of the Toda lattices Zene Horii |
| title_full_unstemmed | Statistical mechanics of the Toda lattices Zene Horii |
| title_short | Statistical mechanics of the Toda lattices |
| title_sort | statistical mechanics of the toda lattices |
| topic | Mecânica estatística larpcal Lattice dynamics Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd Nichtlineare Gitterwelle (DE-588)4202606-4 gnd Liouville-Gleichung (DE-588)4167784-5 gnd |
| topic_facet | Mecânica estatística Lattice dynamics Statistical mechanics Statistische Mechanik Nichtlineare Gitterwelle Liouville-Gleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018611684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT horiizene statisticalmechanicsofthetodalattices AT horiizene todalattices |