Thermal physics: concepts and practice
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2012
|
Ausgabe: | 1. publ. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Klappentext |
Beschreibung: | XIII, 303 S. Ill. |
ISBN: | 9781107006492 |
Internformat
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100 | 1 | |a Wasserman, Allen L. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Thermal physics |b concepts and practice |c Allen L. Wasserman |
250 | |a 1. publ. | ||
264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2012 | |
300 | |a XIII, 303 S. |b Ill. | ||
336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
_version_ | 1804149217203060736 |
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adam_text | Contents
Preface
page
xi
1
Introducing thermodynamics
1
1.1
The beginning
1
1.2
Thermodynamic vocabulary
3
1.3
Energy and the First Law
4
1.4
Quantum mechanics, the mother of theories
6
1.5
Probabilities in quantum mechanics
9
1.6
Closing comments
11
2
A road to thermodynamics
12
2.1
The density operator: pure states
12
2.2
Mixed states
15
2.3
Thermal density operator pT and entropy
20
Problems and exercises
23
25
25
28
28
38
47
47
49
49
50
54
55
60
65
Problems and exercises
70
3
Work, heat and the First Law
3.1
Introduction
3.2
Exact differentials
3.3
Equations of state
3.4
Heat capacity
3.5
Concluding remarks
Problems and exercises
4
A mathematical digression
4.1
Thermodynamic differentials
4.2
Exact differentials
4.3
Euler
s
homogeneous function theorem
4.4
A cyclic chain rule
4.5
Entropy and spontaneous processes
4.6
Thermal engines
Contents
5 Thermodynamic
potentials
73
5.1
Introduction
73
5.2
Enthalpy and throttling
79
5.3
Entropy and heat capacity
81
Problems and exercises
83
6
Knowing the unknowable
85
6.1
Entropy: ticket to the Emerald City
85
6.2
The bridge
86
6.3 Thermodynamic hamiltonians 87
6.4
Microcanonical (Boltzmann) theory
89
6.5
Gibbs canonical theory
93
6.6
Canonical thermodynamics
94
6.7
Degeneracy and
Z
96
6.8
Closing comments
103
Problems and exercises
103
7
The ideal gas
106
7.1
Introduction
106
7.2
Ideal gas law
107
7.3
Quasi-classical model
108
7.4
Ideal gas partition function
109
7.5
Thermodynamics of the ideal gas 111
7.6
Gibbs entropy paradox
113
7.7
Entropy of mixing
114
7.8
The non-ideal gas
115
Problems and exercises
115
8
The two-level system
117
8.1
Anomalous heat capacity
117
8.2
Schottky model
117
8.3
Two-level systems and negative temperature
120
Problems and exercises
122
9
Lattice heat capacity
123
9.1
Heat capacity of solids
123
9.2
Einstein s model
124
9.3
Einstein model in one dimension
124
9.4
The three-dimensional Einstein model
128
9.5
Debye model
131
Problems and exercises
133
vii
Contents
10 Elastomers:
entropy
springs
136
10.1
Naive
one-dimensional elastomer
136
10.2
Elongation as an extensive observable
138
10.3
Properties of the naive one-dimensional rubber band
140
10.4
Hot rubber bands : a thermodynamic analysis
143
10.5
A non-ideal elastomer
146
10.6
Three-dimensional elastomer thermodynamics
149
Problems and exercises
15
1
11
Magnetic thermodynamics
154
11.1
Magnetism in solids
154
11.2
Magnetic work
156
11.3
Microscopic models and uniform fields
160
11.4
Local paramagnetism
161
11.5
Simple paramagnetism
162
11.6
Local paramagnet thermodynamics
164
11.7
Magnetization fluctuations
167
11.8
A model for ferromagnetism
169
11.9
A mean field approximation
170
11.10
Spontaneous magnetization
172
11.11
Critical exponents
173
11.12
Curie-Weiss magnetic susceptibility (T
>
T,.)
174
11.13
Closing comment
174
12
Open systems
175
12.1
Variable particle number
175
12.2
Thermodynamics and particle number
176
12.3
The open system
176
12.4
A grand example: the ideal gas
182
12.5
Van
der Waals
equation
184
12.6
A star is born
186
12.7
Closing comment
191
Problems and exercises
191
13
The amazing chemical potential
192
13.1
Introduction
192
13.2
Diffusive equilibrium
193
13.3
Thermodynamics of chemical equilibrium
196
13.4
A law of mass action
198
13.5
Thermodynamics of phase equilibrium
200
13.6
Gibbs-Duhem relation
201
13.7
Multiphase equilibrium
202
Contents
13.8 The Clausius-Clapeyron
equation
203
13.9
Surface adsorption: Langmuir s model
204
13.10
Dissociative adsorption
207
13.11
Crystalline bistability
208
Problems and exercises
210
14
Thermodynamics of radiation
212
14.1
Introduction
212
14.2
Electromagnetic eigen-energies
213
14.3
Thermodynamics of
electromagnetism
214
14.4
Radiation field thermodynamics
216
14.5
Stefan-Boltzmann, Planck, Rayleigh-Jeans laws
217
14.6
Wien slaw
220
14.7
Entropy of thermal radiation
221
14.8
Stefan-Boltzmann radiation law
221
14.9
Radiation momentum density
224
Problems and exercises
225
15
Ideal Fermi gas
228
15.1
Introduction
228
15.2
Ideal gas eigen-energies
228
15.3
Grand partition function
229
15.4
Electron spin
230
15.5
Fermi-Dirac thermodynamics
231
15.6
Independent fermion model
233
15.7
The chemical potential
(Τ φ
0) 234
15.8
Internal energy
(Τ φ
0) 236
15.9 Pauli
paramagnetic susceptibility
237
15.10
Electron gas model
238
15.11
White dwarf stars
241
Problems and exercises
243
16
Ideal Bose-Einstein system
246
16.1
Introduction
246
16.2
Ideal
Bose
gas
247
16.3
Bose-Einstein thermodynamics
248
16.4
The ideal BE gas and the BE condensation
249
Problems and exercises
253
17
Thermodynamics and the cosmic microwave background
255
17.1
Introduction
255
17.2
Thermodynamic method
257
Contents
17.3
Moving frame thermodynamic potential
Ω
257
17.4
Radiation energy flux
261
Problems and exercises
262
Appendix A How pure is pure? An inequality
263
A.I 0<Tr(pJ)p)2 <l
263
Appendix
В
Bias and the thermal Lagrangian
264
B.I Properties of
Τ
264
B.2 The bias function
265
B.3 A thermal Lagrangian
266
AppendixC Euler s homogeneous
f
unction theorem
268
C.I The theorem
268
C.2 The proof
268
Appendix
D
Occupation numbers and the partition function
269
Appendix
E
Density of states
271
E.I Definition
271
E.2 Examples
271
Appendix
F A
lab experiment in elasticity
275
F.
1
Objectives
275
F.2 Results and analysis
277
Appendix
G
Magnetic and electric fields in matter
278
G.I Introduction
278
G.2 Thermodynamic potentials and magnetic fields
278
G.3 Work and uniform fields
279
G.4 Thermodynamics with internal fields
283
Appendix
H
Maxwell s equations and electromagnetic fields
285
H.I Maxwell s equations
285
H.2 Electromagnetic waves
285
H.3 Electromagnetic vector potential
288
H.4 Quantized electromagnetic hamiltonian
290
Appendix I Fermi-Dirac integrals
293
1.1 Introduction
293
1.2
Expansion method:
βμ
» 1 293
Contents
Appendix
J
Bose-Einstein
integrals
296
J.I BE integrals:
μ =
О
296
J.2 BE integrals:
μ
< 0 297
Index
299
Thermodynamics has benefited from nearly
100
years of parallel
development with quantum mechanics. As a result, thermal physics has
been considerably enriched in concepts, technique and purpose, and now
has a dominant role in developments of physics, chemistry and biology. This
unique book explores the meaning and application of these developments
using quantum theory as the starting point.
The book links thermal physics and quantum mechanics in a natural way.
Concepts are combined with interesting examples, and entire chapters
are dedicated to applying the principles to familiar, practical and unusual
situations. Together with end-of-chapter exercises, this book gives
advanced undergraduate and graduate students a modern perception and
appreciation for this remarkable subject.
Allen
L
Wasserman
is Professor (Emeritus) in the Department of Physics,
Oregon State University. His research area is condensed matter physics.
Cambridge
UNIVERSITY PRESS
www.cambridge.org
¡ISBN
978-1-107-00649-2
|
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author | Wasserman, Allen L. |
author_facet | Wasserman, Allen L. |
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spelling | Wasserman, Allen L. Verfasser aut Thermal physics concepts and practice Allen L. Wasserman 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2012 XIII, 303 S. Ill. txt rdacontent n rdamedia nc rdacarrier Thermodynamik (DE-588)4059827-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Thermodynamik (DE-588)4059827-5 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=025086577&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025086577&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
spellingShingle | Wasserman, Allen L. Thermal physics concepts and practice Thermodynamik (DE-588)4059827-5 gnd |
subject_GND | (DE-588)4059827-5 (DE-588)4123623-3 |
title | Thermal physics concepts and practice |
title_auth | Thermal physics concepts and practice |
title_exact_search | Thermal physics concepts and practice |
title_full | Thermal physics concepts and practice Allen L. Wasserman |
title_fullStr | Thermal physics concepts and practice Allen L. Wasserman |
title_full_unstemmed | Thermal physics concepts and practice Allen L. Wasserman |
title_short | Thermal physics |
title_sort | thermal physics concepts and practice |
title_sub | concepts and practice |
topic | Thermodynamik (DE-588)4059827-5 gnd |
topic_facet | Thermodynamik Lehrbuch |
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