Statistical physics of particles:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | x, 320 Seiten Diagramme |
| ISBN: | 9780521873420 |
Internformat
MARC
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| 245 | 1 | 0 | |a Statistical physics of particles |c Mehran Kardar |
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Datensatz im Suchindex
| _version_ | 1804136588269060096 |
|---|---|
| adam_text | Contents
Preface
page
ix
1
Thermodynamics
1
1.1
Introduction
1
1.2
Thezerothlaw
2
1.3
The first law
5
1.4
The second law
8
1.5
Carnot engines
10
1.6
Entropy
13
1.7
Approach to equilibrium and thermodynamic potentials
16
1.8
Useful mathematical results
20
1.9
Stability conditions
22
1.10
The third law
26
Problems
29
2
Probability
35
2.1
General definitions
35
2.2
One random variable
36
2.3
Some important probability distributions
40
2.4
Many random variables
43
2.5
Sums of random variables and the central limit theorem
45
2.6
Rules for large numbers
47
2.7
Information, entropy, and estimation
50
Problems
52
3
Kinetic theory of gases
57
3.1
General definitions
57
3.2
Liouville s theorem
59
3.3
The Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy
62
3.4
The Boltzmann equation
65
3.5
The
Н
-theorem and irreversibility
7
1
3.6
Equilibrium properties
75
3.7
Conservation laws
78
vi
Contents
3.8
Zeroth-order
hydrodynamics
82
3.9
First-order hydrodynamics
84
Problems
87
4
Classical statistical mechanics
98
4.1
General definitions
98
4.2
The microcanonical ensemble
98
4.3
Two-level systems
102
4.4
The ideal gas
105
4.5
Mixing entropy and the Gibbs paradox
107
4.6
The canonical ensemble
110
4.7
Canonical examples
113
4.8
The Gibbs canonical ensemble
115
4.9
The grand canonical ensemble
118
Problems
120
5
Interacting particles
126
5.1
The
cumulant
expansion
126
5.2
The cluster expansion
130
5.3
The second virial coefficient and van
der Waals
equation
135
5.4
Breakdown of the van
der Waals
equation
139
5.5
Mean-field theory of condensation
141
5.6
Variational methods
143
5.7
Corresponding states
145
5.8
Critical point behavior
146
Problems
148
6
Quantum statistical mechanics
156
6.1
Dilute polyatomic gases
156
6.2
Vibrations of a solid
161
6.3
Black-body radiation
167
6.4
Quantum microstates
170
6.5
Quantum macrostates
172
Problems
175
7
Ideal quantum gases
181
7.1
Hubert space of identical particles
181
7.2
Canonical formulation
184
7.3
Grand canonical formulation
187
7.4
Non-relativistic gas
188
7.5
The degenerate
fermi gas
190
7.6
The degenerate
bose
gas
7.7
Superfluid He4
Problems
Solutions to selected problems
Chapter
1
Chapter
2
Chapter
3
Chapter
4
Chapter
5
Chapter
6
Chapter
7
Index
Contents
VII
194
198
202
211
211
224
235
256
268
285
300
318
|
| adam_txt |
Contents
Preface
page
ix
1
Thermodynamics
1
1.1
Introduction
1
1.2
Thezerothlaw
2
1.3
The first law
5
1.4
The second law
8
1.5
Carnot engines
10
1.6
Entropy
13
1.7
Approach to equilibrium and thermodynamic potentials
16
1.8
Useful mathematical results
20
1.9
Stability conditions
22
1.10
The third law
26
Problems
29
2
Probability
35
2.1
General definitions
35
2.2
One random variable
36
2.3
Some important probability distributions
40
2.4
Many random variables
43
2.5
Sums of random variables and the central limit theorem
45
2.6
Rules for large numbers
47
2.7
Information, entropy, and estimation
50
Problems
52
3
Kinetic theory of gases
57
3.1
General definitions
57
3.2
Liouville's theorem
59
3.3
The Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy
62
3.4
The Boltzmann equation
65
3.5
The
Н
-theorem and irreversibility
7
1
3.6
Equilibrium properties
75
3.7
Conservation laws
78
vi
Contents
3.8
Zeroth-order
hydrodynamics
82
3.9
First-order hydrodynamics
84
Problems
87
4
Classical statistical mechanics
98
4.1
General definitions
98
4.2
The microcanonical ensemble
98
4.3
Two-level systems
102
4.4
The ideal gas
105
4.5
Mixing entropy and the Gibbs paradox
107
4.6
The canonical ensemble
110
4.7
Canonical examples
113
4.8
The Gibbs canonical ensemble
115
4.9
The grand canonical ensemble
118
Problems
120
5
Interacting particles
126
5.1
The
cumulant
expansion
126
5.2
The cluster expansion
130
5.3
The second virial coefficient and van
der Waals
equation
135
5.4
Breakdown of the van
der Waals
equation
139
5.5
Mean-field theory of condensation
141
5.6
Variational methods
143
5.7
Corresponding states
145
5.8
Critical point behavior
146
Problems
148
6
Quantum statistical mechanics
156
6.1
Dilute polyatomic gases
156
6.2
Vibrations of a solid
161
6.3
Black-body radiation
167
6.4
Quantum microstates
170
6.5
Quantum macrostates
172
Problems
175
7
Ideal quantum gases
181
7.1
Hubert space of identical particles
181
7.2
Canonical formulation
184
7.3
Grand canonical formulation
187
7.4
Non-relativistic gas
188
7.5
The degenerate
fermi gas
190
7.6
The degenerate
bose
gas
7.7
Superfluid He4
Problems
Solutions to selected problems
Chapter
1
Chapter
2
Chapter
3
Chapter
4
Chapter
5
Chapter
6
Chapter
7
Index
Contents
VII
194
198
202
211
211
224
235
256
268
285
300
318 |
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| spellingShingle | Kardar, Mehran Statistical physics of particles Statistical mechanics Textbooks Statistical physics Textbooks Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4143389-0 (DE-588)4123623-3 |
| title | Statistical physics of particles |
| title_auth | Statistical physics of particles |
| title_exact_search | Statistical physics of particles |
| title_exact_search_txtP | Statistical physics of particles |
| title_full | Statistical physics of particles Mehran Kardar |
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