Introduction to statistical physics:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2010
|
| Edition: | 2. ed. |
| Series: | A Chapman & Hall book
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 318 S. Ill., graph. Darst. |
| ISBN: | 9781420079029 |
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| 100 | 1 | |a Huang, Kerson |d 1928-2016 |e Verfasser |0 (DE-588)132848201 |4 aut | |
| 245 | 1 | 0 | |a Introduction to statistical physics |c Kerson Huang |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2010 | |
| 300 | |a XIII, 318 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a A Chapman & Hall book | |
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Record in the Search Index
| _version_ | 1820519634418270208 |
|---|---|
| adam_text |
Contents
Preface
.xiii
1
A Macroscopic View of Matter
.1
1.1
Viewing the World at Different Scales
.1
1
.2
Thermodynamics
.2
1.3
The Thermodynamic Limit
.3
1.4
Thermodynamic Transformations
.4
1.5
Classic Ideal Gas
.7
1.6
First Law of Thermodynamics
.8
1.7
Magnetic Systems
.9
Problems
.11
References
.13
2
Heat and Entropy
.15
2.1
The Heat Equations
.15
2.2
Applications to Ideal Gas
.16
2.3
Carnot Cycle
.19
2.4
Second Law of Thermodynamics
.20
2.5
Absolute Temperature
.21
2.6
Temperature as Integrating Factor
.22
2.7
Entropy
.25
2.8
Entropy of Ideal Gas
.26
2.9
The Limits of Thermodynamics
.27
Problems
.27
3
Using Thermodynamics
.33
3.1
The Energy Equation
.33
3.2
Some Measurable Coefficients
.34
3.3
Entropy and Loss
.35
3.4
TS Diagram
.37
3.5
Condition for Equilibrium
.39
3.6
Helmholtz Free Energy
.40
3.7
Gibbs Potential
.41
3.8
Maxwell Relations
.42
3.9
Chemical Potential
.42
Problems
.43
vn
viii Contents
4
Phase Transitions
.47
4.1
First-Order Phase Transition
.47
4.2
Condition for Phase Coexistence
.49
4.3
Clapeyron Equation
.50
4.4
Van
der Waals
Equation of State
.51
4.5
Virial Expansion
.53
4.6
Critical Point
.53
4.7
Maxwell Construction
.55
4.8
Scaling
.56
4.9
Nucleation and Spinodal Decomposition
.57
Problems
.60
References
.63
5
The Statistical Approach
.65
5.1
The Atomic View
.65
5.2
Random Walk
.67
5.3
Phase Space
.69
5.4
Distribution Function
.70
5.5
Ergodic Hypothesis
.72
5.6
Statistical Ensemble
.72
5.7
Microcanonical Ensemble
.73
5.8
Correct Boltzmann Counting
.74
5.9
Distribution Entropy: Boltzmann's
H
.76
5.10
The Most Probable Distribution
.77
5.11
Information Theory: Shannon Entropy
.78
Problems
.80
References
.82
6
Maxwell-Boltzmann Distribution
.83
6.1
Determining the Parameters
.83
6.2
Pressure of Ideal Gas
.84
6.3
Equipartition of Energy
.85
6.4
Distribution of Speed
.87
6.5
Entropy
.88
6.6
Derivation of Thermodynamics
.89
6.7
Fluctuations
.90
6.8
The Boltzmann Factor
.91
6.9
Time's Arrow
.92
Problems
.93
References
.97
7
Transport Phenomena
.99
7.1
Collisionless and Hydrodynamic Regimes
.99
7.2
Maxwell's Demon
.101
7.3
Nonviscous Hydrodynamics
.101
Contents ix
7.4 Sound
Wave.
103
7.5 Diffusion.103
7.6
Heat Conduction
.105
7.7
Viscosity
.106
7.8
Navier-Stokes Equation
.107
Problems
.109
References
.110
8
Canonical Ensemble
.
Ill
8.1
Review of the Microcanonical Ensemble
.
Ill
8.2
Classical Canonical Ensemble
.
Ill
8.3
The Partition Function
.114
8.4
Connection with Thermodynamics
.114
8.5
Energy Fluctuations
.115
8.6
Minimization of Free Energy
.116
8.7
Classical Ideal Gas
.118
Problems
.119
9
Grand Canonical Ensemble
.123
9.1
The Particle Reservoir
.123
9.2
Grand Partition Function
.123
9.3
Number Fluctuations
.124
9.4
Connection with Thermodynamics
.125
9.5
Parametric Equation of State and Virial Expansion
.126
9.6
Critical Fluctuations
.127
9.7
PairCreation
.128
Problems
.130
10
Noise
.133
10.1
Thermal Fluctuations
.133
10.2
Nyquist Noise
.134
10.3
Brownian Motion
.
1
36
10.4
Einstein's Theory
.138
10.5
Diffusion
.140
10.6
Einstein's Relation
.142
10.7
Molecular Reality
.143
10.8
Fluctuation and Dissipation
.144
10.9
Brownian Motion of the Stock Market
.145
Problems
.148
References
.149
11
Stochastic Processes
.151
11.1
Randomness and Probability
.151
11.2
Binomial Distribution
.152
11.3
Poisson
Distribution
.154
x
Contents
11.4
Gaussian
Distribution.155
11.5
Central Limit
Theorem.157
11.6
Shot Noise
.157
Problems
.160
References
.162
12
Time-Series Analysis
.163
12.1
Ensemble of Paths
.163
12.2
Ensemble Average
.164
12.3
Power Spectrum and Correlation Function
.165
12.4
Signal and Noise
.168
12.5
Transition Probabilities
.170
12.6
Markov Process
.171
12.7
Fokker-Planck Equation
.172
12.8
The Monte Carlo Method
.173
12.9
Simulation of the Ising Model
.176
Problems
.179
References
.181
13
The
Langevin
Equation
.183
13.1
The Equation and Solution
.183
13.2
Energy Balance
.185
13.3
Fluctuation-Dissipation Theorem
.187
13.4
Diffusion Coefficient and Einstein's Relation
.187
13.5
Transition Probability: Fokker-Planck Equation
.188
13.6
Heating by Stirring: Forced Oscillator in Medium
.189
Problems
.192
14
Quantum Statistics
.195
14.1
Thermal Wavelength
.195
14.2
Identical Particles
.197
14.3
Occupation Numbers
.198
14.4
Spin
.200
14.5
Microcanonical Ensemble
.201
14.6
Fermi Statistics
.202
14.7
Bose
Statistics
.203
14.8
Determining the Parameters
.204
14.9
Pressure
.205
14.10
Entropy
.206
14.11
Free Energy
.207
14.12
Equation of State
.207
14.13
Classical Limit
.208
Problems
.210
Reference
.212
Contents xi
15 Quantum Ensembles.213
15.1
Incoherent
Superposition
of
States.213
15.2
Density
Matrix.214
15.3
Canonical
Ensemble
(Quantum-Mechanical)
.216
15.4 Grand
Canonical
Ensemble
(Quantum-Mechanical)
.217
15.5
Occupation Number Fluctuations
.219
15.6
Photon Bunching
.220
Problems
.221
References
.223
16
The Fermi Gas
.225
16.1
Fermi Energy
.225
16.2
Ground State
.226
16.3
Fermi Temperature
.227
16.4
Low-Temperature Properties
.228
16.5
Particles and Holes
.230
16.6
Electrons in Solids
.231
16.7
Semiconductors
.233
Problems
.235
17
The
Bose
Gas
.237
17.1
Photons
.237
17.2
Bose
Enhancement
.239
17.3
Phonons
.241
17.4
Debye Specific Heat
.243
17.5
Electronic Specific Heat
.244
17.6
Conservation of Particle Number
.245
Problems
.246
References
.249
18
Bose-Einstein Condensation
.251
18.1
Macroscopic Occupation
.251
18.2
The Condensate
.253
18.3
Equation of State
.254
18.4
Specific Heat
.256
18.5
How a Phase is Formed
.257
18.6
Liquid Helium
.259
Problems
.260
References
.263
19
The Order Parameter
.265
19.1
The Essence of Phase Transitions
.265
19.2
Ginsburg-Landau Theory
.266
19.3
Relation to Microscopic Theory
.267
19.4
Functional Integration and Differentiation
.268
xii Contents
19.5 Second-Order Phase Transition.270
19.6
Mean-Field Theory
.271
19.7
Critical Exponents
.273
19.8
The Correlation Length
.274
19.9
First-Order Phase Transition
.277
19.10
Cahn-Hilliard Equation
.278
Problems
.278
References
.280
20
Superfluidity
.281
20.1
Condensate Wave Function
.281
20.2
Spontaneous Symmetry Breaking
.282
20.3
Mean-Field Theory
.284
20.4
Observation of Bose-Einstein Condensation
.285
20.5
Quantum Phase Coherence
.286
20.6
Superfluid Flow
.287
20.7
Phonons:
Goldstone
Mode
.289
Problems
.290
References
.292
21
Superconductivity
.293
21.1
Meissner Effect
.293
21.2
Magnetic Flux Quantum
.294
21.3
Josephson
Junction
.296
21.4
DC
Josephson
Effect
.298
21.5
AC
Josephson
Effect
.299
21.6
Time-Dependent Vector Potential
.300
21.7
The SQUID
.300
21.8
Broken Symmetry
.302
Problems
.303
References
.303
Appendix
.305
Index
.313 |
| any_adam_object | 1 |
| author | Huang, Kerson 1928-2016 |
| author_GND | (DE-588)132848201 |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.13 |
| dewey-search | 530.13 |
| dewey-sort | 3530.13 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2025-01-06T17:00:17Z |
| institution | BVB |
| isbn | 9781420079029 |
| language | English |
| lccn | 2009031930 |
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| physical | XIII, 318 S. Ill., graph. Darst. |
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| spelling | Huang, Kerson 1928-2016 Verfasser (DE-588)132848201 aut Introduction to statistical physics Kerson Huang 2. ed. Boca Raton [u.a.] CRC Press 2010 XIII, 318 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Chapman & Hall book Statistical physics Statistische Physik (DE-588)4057000-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Statistische Physik (DE-588)4057000-9 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=018624924&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 | Huang, Kerson 1928-2016 Introduction to statistical physics Statistical physics Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4057000-9 (DE-588)4123623-3 |
| title | Introduction to statistical physics |
| title_auth | Introduction to statistical physics |
| title_exact_search | Introduction to statistical physics |
| title_full | Introduction to statistical physics Kerson Huang |
| title_fullStr | Introduction to statistical physics Kerson Huang |
| title_full_unstemmed | Introduction to statistical physics Kerson Huang |
| title_short | Introduction to statistical physics |
| title_sort | introduction to statistical physics |
| topic | Statistical physics Statistische Physik (DE-588)4057000-9 gnd |
| topic_facet | Statistical physics Statistische Physik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018624924&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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