Statistical mechanics: an advanced course with problems and solutions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam u.a.
North-Holland
2005
|
| Ausgabe: | 2. ed., transferred to digital print. |
| Schriftenreihe: | North-Holland personal library
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 425 S. graph. Darst. |
| ISBN: | 0444871039 9780444871039 |
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| 245 | 1 | 0 | |a Statistical mechanics |b an advanced course with problems and solutions |c Ryogo Kubo |
| 250 | |a 2. ed., transferred to digital print. | ||
| 264 | 1 | |a Amsterdam u.a. |b North-Holland |c 2005 | |
| 300 | |a XII, 425 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804137539281354752 |
|---|---|
| adam_text | CONTENTS
CHAPTER
1.
PRINCIPLES OF STATISTICAL MECHANICS
Fundamental Topics
§ 1.1.
Microscopic States
............. 1
§1.2.
Statistical Treatment
............. 3
§ 1.3.
The Principle of Equal Weight and the Microcanonical
Ensemble
................ 5
§ 1.4.
The Thermodynamic Weight of a Macroscopic State and
Entropy
................ 1
§1.5.
Number of States and the Density of States
...... 8
§ 1.6.
Normal Systems in Statistical Thermodynamics
..... 10
§1.7.
Contact between Two Systems
.......... 11
§1.8.
Quasi-Static Adiabatic Process
.......... 14
§1.9.
Equilibrium between Two Systems in Contact
..... 15
§1.10.
Fundamental Laws of Thermodynamics
....... 18
§ 1.11.
The Most Probable State and Fluctuations
...... 19
§1.12.
Canonical Distributions
............ 21
§ 1.13.
Generalized Canonical Distributions
........ 23
§ 1.14.
Partition Functions and Thermodynamic Functions.
... 25
§ 1.15.
Fermi-,
Bose-,
and Boltzmann- Statistics
....... 28
§ 1.16.
Generalized Entropy
............. 31
Examples
.................. 32
Problems.................. 56
Solutions
.................. 64
CHAPTER
2.
APPLICATIONS OF THE
CANONICAL DISTRIBUTION
Fundamental Topics
§2.1.
General Properties of the Partition Function
Z(ß) . . . .102
§
2.2+. Asymptotic Evaluations for Large Systems
...... 104
§
2.3+. Asymptotic Evaluations and Legendre Transformations of
Thermodynamic Functions
........... 107
§ 2.4
+. Grand Partition Function
Ξ
(А)..........
107
CONTENTS
XI
§ 2.5+. Partition
Functions for Generalized Canonical Distributions
. 109
§ 2.6.
Classical Configurational Partition Functions
..... 109
§2.7+.
Density Matrices
.............. 110
Examples
.................. 112
Problems
.................. 130
Solutions
.................. 139
CHAPTER
3.
STATISTICAL THERMODYNAMICS OF GASES
Fundamental Topics
§3.1.
Partition Functions of Ideal Gases
......... 183
§3.2.
Internal Degrees of Freedom and Internal Partition Functions.
184
§3.3.
Mixtures of Ideal Gases
............ 188
§ 3.4.
Molecular Interactions
............ 189
§3.5.
Cluster Expansion
............. 190
Examples
.................. 193
Problems
.................. 199
Solutions
.................. 205
CHAPTER
4.
APPLICATIONS OF FERMI- AND
BOSE-
STATISTICS
Fundamental Topics
§4.1.
Fundamental Formulae of Fermi-Statistics
......228
§ 4.2.
Fermi Distribution Function
..........229
§ 4.3.
Electronic Energy Bands in Crystals
........233
§4.4.
Holes
.................234
§ 4.5.
Semiconductors
..............235
§ 4.6.
Bose-Statistics. Liquid Helium
..........238
Examples
..................240
Problems
..................251
Solutions
..................259
CHAPTER
5.
STRONGLY INTERACTING SYSTEMS
Fundamental Topics
§ 5.1.
Molecular Field Approximation
.......». 302
§ 5.2.
Bragg-Williams Approximation
......... 305
§ 5.3.
Co-operative Phenomena
........... 307
§ 5.4.
Average Potential in Charged Particle Systems
..... 309
§5.5. Debye-Hückel
Theory
............
3Î0
§ 5.6.
Distribution Functions in a Particle System
...... 312
ХП
CONTENTS
Examples
.................. 313
Problems
.................. 322
Solutions
.................. 329
CHAPTER
6.
FLUCTUATIONS AND KINETIC THEORIES
Fundamental Topics
§6.1.
Fluctuations
............... 361
§ 6.2.
Collision Frequency
............. 362
§ 6.3.
Boltzmann Transport Equation
......... 363
Examples
.................. 366
Problems
.................. 375
Solutions
.................. 381
Index
................... 418
|
| adam_txt |
CONTENTS
CHAPTER
1.
PRINCIPLES OF STATISTICAL MECHANICS
Fundamental Topics
§ 1.1.
Microscopic States
. 1
§1.2.
Statistical Treatment
. 3
§ 1.3.
The Principle of Equal Weight and the Microcanonical
Ensemble
. 5
§ 1.4.
The Thermodynamic Weight of a Macroscopic State and
Entropy
. 1
§1.5.
Number of States and the Density of States
. 8
§ 1.6.
Normal Systems in Statistical Thermodynamics
. 10
§1.7.
Contact between Two Systems
. 11
§1.8.
Quasi-Static Adiabatic Process
. 14
§1.9.
Equilibrium between Two Systems in Contact
. 15
§1.10.
Fundamental Laws of Thermodynamics
. 18
§ 1.11.
The Most Probable State and Fluctuations
. 19
§1.12.
Canonical Distributions
. 21
§ 1.13.
Generalized Canonical Distributions
. 23
§ 1.14.
Partition Functions and Thermodynamic Functions.
. 25
§ 1.15.
Fermi-,
Bose-,
and Boltzmann- Statistics
. 28
§ 1.16.
Generalized Entropy
. 31
Examples
. 32
Problems. 56
Solutions
. 64
CHAPTER
2.
APPLICATIONS OF THE
CANONICAL DISTRIBUTION
Fundamental Topics
§2.1.
General Properties of the Partition Function
Z(ß) . . . .102
§
2.2+. Asymptotic Evaluations for Large Systems
. 104
§
2.3+. Asymptotic Evaluations and Legendre Transformations of
Thermodynamic Functions
. 107
§ 2.4
+. Grand Partition Function
Ξ
(А).
107
CONTENTS
XI
§ 2.5+. Partition
Functions for Generalized Canonical Distributions
. 109
§ 2.6.
Classical Configurational Partition Functions
. 109
§2.7+.
Density Matrices
. 110
Examples
. 112
Problems
. 130
Solutions
. 139
CHAPTER
3.
STATISTICAL THERMODYNAMICS OF GASES
Fundamental Topics
§3.1.
Partition Functions of Ideal Gases
. 183
§3.2.
Internal Degrees of Freedom and Internal Partition Functions.
184
§3.3.
Mixtures of Ideal Gases
. 188
§ 3.4.
Molecular Interactions
. 189
§3.5.
Cluster Expansion
. 190
Examples
. 193
Problems
. 199
Solutions
. 205
CHAPTER
4.
APPLICATIONS OF FERMI- AND
BOSE-
STATISTICS
Fundamental Topics
§4.1.
Fundamental Formulae of Fermi-Statistics
.228
§ 4.2.
Fermi Distribution Function
.229
§ 4.3.
Electronic Energy Bands in Crystals
.233
§4.4.
Holes
.234
§ 4.5.
Semiconductors
.235
§ 4.6.
Bose-Statistics. Liquid Helium
.238
Examples
.240
Problems
.251
Solutions
.259
CHAPTER
5.
STRONGLY INTERACTING SYSTEMS
Fundamental Topics
§ 5.1.
Molecular Field Approximation
.». 302
§ 5.2.
Bragg-Williams Approximation
. 305
§ 5.3.
Co-operative Phenomena
. 307
§ 5.4.
Average Potential in Charged Particle Systems
. 309
§5.5. Debye-Hückel
Theory
.
3Î0
§ 5.6.
Distribution Functions in a Particle System
. 312
ХП
CONTENTS
Examples
. 313
Problems
. 322
Solutions
. 329
CHAPTER
6.
FLUCTUATIONS AND KINETIC THEORIES
Fundamental Topics
§6.1.
Fluctuations
. 361
§ 6.2.
Collision Frequency
. 362
§ 6.3.
Boltzmann Transport Equation
. 363
Examples
. 366
Problems
. 375
Solutions
. 381
Index
. 418 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T20:23:53Z |
| indexdate | 2024-07-09T21:13:54Z |
| institution | BVB |
| isbn | 0444871039 9780444871039 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016427018 |
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| publisher | North-Holland |
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| spelling | Kubo, Ryogo Verfasser aut Statistical mechanics an advanced course with problems and solutions Ryogo Kubo 2. ed., transferred to digital print. Amsterdam u.a. North-Holland 2005 XII, 425 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier North-Holland personal library Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016427018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kubo, Ryogo Statistical mechanics an advanced course with problems and solutions Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4056999-8 |
| title | Statistical mechanics an advanced course with problems and solutions |
| title_auth | Statistical mechanics an advanced course with problems and solutions |
| title_exact_search | Statistical mechanics an advanced course with problems and solutions |
| title_exact_search_txtP | Statistical mechanics an advanced course with problems and solutions |
| title_full | Statistical mechanics an advanced course with problems and solutions Ryogo Kubo |
| title_fullStr | Statistical mechanics an advanced course with problems and solutions Ryogo Kubo |
| title_full_unstemmed | Statistical mechanics an advanced course with problems and solutions Ryogo Kubo |
| title_short | Statistical mechanics |
| title_sort | statistical mechanics an advanced course with problems and solutions |
| title_sub | an advanced course with problems and solutions |
| topic | Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Statistische Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016427018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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