Concepts in thermal physics:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Oxford University Press
2010
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdr. |
| Physical Description: | XVIII, 493 S. Ill., graph. Darst. |
| ISBN: | 9780199562091 |
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| 245 | 1 | 0 | |a Concepts in thermal physics |c Stephen J. Blundell and Katherine M. Blundell |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Oxford |b Oxford University Press |c 2010 | |
| 300 | |a XVIII, 493 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804140981476392960 |
|---|---|
| adam_text | Contents
Preface
vii
Preface
to the second edition
χ
I Preliminaries
1
1
Introduction
2
1.1
What is a mole?
3
1.2
The thermodynamic limit
4
1.3
The ideal gas
6
1.4
Combinatorial problems
7
1.5
Plan of the book
9
Exercises
12
2
Heat
13
2.1
A definition of heat
13
2.2
Heat capacity
14
Exercises
17
3
Probability
18
3.1
Discrete probability distributions
19
3.2
Continuous probability distributions
20
3.3
Linear transformation
21
3.4
Variance
22
3.5
Linear transformation and the variance
23
3.6
Independent variables
24
3.7
Binomial distribution
26
Further reading
29
Exercises
29
4
Temperature and the Boltzmann factor
32
4.1
Thermal equilibrium
32
4.2
Thermometers
33
4.3
The microstates and macrostates
35
4.4
A statistical definition of temperature
36
4.5
Ensembles
38
4.6
Canonical ensemble
38
4.7
Applications of the Boltzmann distribution
42
Further reading
46
Exercises
46
xii Contents
II Kinetic theory of gases 47
5
The Maxwell-Boltzmann distribution
48
5.1
The velocity distribution 48
5.2
The speed distribution 49
5.3
Experimental justification oi
Exercises
6
Pressure 56
6.1
Molecular distributions
57
6.2
The ideal gas law 58
6.3
Dalton s law 60
Exercises
7
Molecular effusion *>4
7.1
Flux 64
7.2
Effusion 66
Exercises ^
8
The mean free path and collisions
70
8.1
The mean collision time
70
8.2
The collision cross-section
71
8.3
The mean free path
73
Exercises
74
III Transport and thermal diffusion
75
9
Transport properties in gases
76
9.1
Viscosity
76
9.2
Thermal conductivity
81
9.3
Diffusion
83
9.4
More detailed theory
86
Further reading
88
Exercises
89
10
The thermal diffusion equation
90
10.1
Derivation of the thermal diffusion equation
90
10.2
The one-dimensional thermal diffusion equation
91
10.3
The steady state
94
10.4
The thermal diffusion equation for a sphere
94
10.5
Newton s law of cooling
99
10.6
The Prandtl number
100
10.7
Sources of heat
101
10.8
Particle diffusion
102
Exercises
103
Contents xiii
IV The first law
107
11
Energy
108
11.1
Some definitions
108
11.2
The first law of thermodynamics
110
11.3
Heat capacity
112
Exercises
115
12
Isothermal and adiabatic processes
118
12.1
Reversibility
118
12.2
Isothermal expansion of an ideal gas
120
12.3
Adiabatic expansion of an ideal gas
121
12.4
Adiabatic atmosphere
121
Exercises
123
V The second law
125
13
Heat engines and the second law
126
13.1
The second law of thermodynamics
126
13.2
The Carnot engine
127
13.3
Carnot s theorem
130
13.4
Equivalence of Clausius and Kelvin s statements
131
13.5
Examples of heat engines
131
13.6
Heat engines running backwards
133
13.7
Clausius theorem
134
Further reading
137
Exercises
137
14
Entropy
140
14.1
Definition of entropy
140
14.2
Irreversible change
140
14.3
The first law revisited
142
14.4
The Joule expansion
144
14.5
The statistical basis for entropy
146
14.6
The entropy of mixing
147
14.7
Maxwell s demon
149
14.8
Entropy and probability
150
Exercises
153
15
Information theory
157
15.1
Information and Shannon entropy
157
15.2
Information and thermodynamics
159
15.3
Data compression
160
15.4
Quantum information
162
15.5
Conditional and joint probabilities
165
15.6
Bayes
theorem
165
Further reading
168
Exercises
169
xiv Contents
VI Thermodynamics in action
171
16
Thermodynamic potentials
172
16.1
Internal energy,
U 172
16.2
Enthalpy,
Я
173
16.3
Helmholtz function,
F
174
16.4
Gibbs function,
G
175
16.5
Constraints
176
16.6
Maxwell s relations
179
Exercises
187
17
Rods, bubbles, and magnets
191
17.1
Elastic rod
191
17.2
Surface tension
194
17.3
Electric and magnetic dipoles
195
17.4
Paramagnetism
196
Exercises
201
18
The third law
203
18.1
Different statements of the third law
203
18.2
Consequences of the third law
205
Exercises
208
VII
Statistical mechanics
209
19
Equipartition of energy
210
19.1
Equipartition theorem
210
19.2
Applications
213
19.3
Assumptions made
215
19.4
Brownian motion
217
Exercises
218
20
The partition function
20.1
Writing down the partition function
20.2
Obtaining the functions of state
20.3
The big idea
20.4
Combining partition functions
Exercises
21
Statistical mechanics of an ideal gas
21.1
Density of states
21.2
Quantum concentration
21.3
Distinguishability
21.4
Functions of state of the ideal gas
21.5
Gibbs paradox
21.6
Heat capacity of a diatomic gas
Exercises
Contents xv
22
The chemical potential
244
22.1
A definition of the chemical potential
244
22.2
The meaning of the chemical potential
245
22.3
Grand partition function
247
22.4
Grand potential
248
22.5
Chemical potential as Gibbs function per particle
250
22.6
Many types of particle
250
22.7
Particle number conservation laws
251
22.8
Chemical potential and chemical reactions
252
22.9
Osmosis
257
Further reading
261
Exercises
262
23
Photons
263
23.1
The classical thermodynamics of electromagnetic radiation
264
23.2
Spectral energy density
265
23.3 Kirchhoff
s law
266
23.4
Radiation pressure
268
23.5
The statistical mechanics of the photon gas
269
23.6
Black-body distribution
270
23.7
Cosmic microwave background radiation
273
23.8
The Einstein A and
В
coefficients
274
Further reading
277
Exercises
278
24
Phonons
279
24.1
The Einstein model
279
24.2
The Debye model
281
24.3
Phonon dispersion
284
Further reading
287
Exercises
287
VIII
Beyond the ideal gas
289
25
Relativistic gases
290
25.1
Relativistic dispersion relation for massive particles
290
25.2
The ultrarelativistic gas
290
25.3
Adiabatic expansion of an ultrarelativistic gas
293
Exercises
295
26
Real gases
296
26.1
The van
der Waals
gas 296
26.2
The
Dieterici
equation
304
26.3
Virial expansion
306
26.4
The law of corresponding states
310
Exercises
312
xvi Contents
27
Cooling real gases
313
27.1
The Joule expansion
313
27.2
Isothermal expansion
315
27.3
Joule-Kelvin expansion
316
27.4
Liquefaction of gases
318
Exercises
320
28
Phase transitions
321
28.1
Latent heat
321
28.2
Chemical potential and phase changes
324
28.3
The Clausius-Clapeyron equation
324
28.4
Stability and metastability
329
28.5
The Gibbs phase rule
332
28.6
Colligative properties
334
28.7
Classification of phase transitions
335
28.8
The Ising model
338
Further reading
343
Exercises
343
29
Bose—
Einstein and Fermi—Dirac distributions
345
29.1
Exchange and symmetry
345
29.2
Wave functions of identical particles
346
29.3
The statistics of identical particles
349
Further reading
353
Exercises
354
30
Quantum gases and condensates
30.1
The non-interacting quantum fluid
30.2
The Fermi gas
30.3
The
Bose gas
30.4
Bose-Einstein condensation
(ВЕС)
Further reading
Exercises
IX Special topics
31
Sound waves
31.1
Sound waves under isothermal conditions
31.2
Sound waves under adiabatic conditions
31.3
Are sound waves in general adiabatic or isothermal?
31.4
Derivation of the speed of sound within fluids
Further reading
Exercises
32
Shock waves
32.1
The
Mach
number
32.2
Structure of shock waves
32.3
Shock conservation laws
Contents xvii
32.4 The Rankine-Hugoniot
conditions
386
Further reading
389
Exercises
389
33
Brownian motion and fluctuations
390
33.1
Brownian motion
390
33.2
Johnson noise
393
33.3
Fluctuations
394
33.4
Fluctuations and the availability
395
33.5
Linear response
397
33.6
Correlation functions
400
Further reading
407
Exercises
407
34
Non-equilibrium thermodynamics
408
34.1
Entropy production
408
34.2
The kinetic coefficients
409
34.3
Proof of the Onsager reciprocal relations
410
34.4
Thermoelectricity
413
34.5
Time reversal and the arrow of time
417
Further reading
419
Exercises
419
35
Stars
420
35.1
Gravitational interaction
421
35.2
Nuclear reactions
426
35.3
Heat transfer
427
Further reading
434
Exercises
434
36
Compact objects
435
36.1
Electron degeneracy pressure
435
36.2
White dwarfs
437
36.3
Neutron stars
438
36.4
Black holes
440
36.5
Accretion
441
36.6
Black holes and entropy
442
36.7
Life, the Universe, and entropy
443
Further reading
445
Exercises
445
37
Earth s atmosphere
446
37.1
Solar energy
446
37.2
The temperature profile in the atmosphere
447
37.3
Radiative transfer
449
37.4
The greenhouse effect
452
37.5
Global warming
456
Further reading
460
Exercises
460
xviii Contents
A
Fundamental
constants
461
В
Useful formulae
462
С
Useful mathematics
464
C.I The factorial integral
464
C.2 The Gaussian integral
464
C.3 Stirling s formula
467
C.4 Riemann
zeta
function
469
C.5 The polylogarithm
470
C.6 Partial derivatives
471
C.7 Exact differentials
472
C.8 Volume of a hypersphere
473
C.9 Jacobians
473
CIO The Dirac delta function
475
С
11
Fourier transforms
475
С
12
Solution of the diffusion equation
476
C.13
Lagrange
multipliers
477
D
The electromagnetic spectrum
479
E Some
thermodynamical definitions
480
F
Thermodynamic expansion formulae
481
G
Reduced mass
482
H
Glossary of main symbols
483
Bibliography
485
Index
489
|
| any_adam_object | 1 |
| author | Blundell, Stephen 1967- Blundell, Katherine M. |
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| dewey-full | 536 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 536 - Heat |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| isbn | 9780199562091 |
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| record_format | marc |
| spelling | Blundell, Stephen 1967- Verfasser (DE-588)132321440 aut Concepts in thermal physics Stephen J. Blundell and Katherine M. Blundell 2. ed. Oxford Oxford University Press 2010 XVIII, 493 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdr. Mécanique statistique ram Thermique ram Thermodynamique ram Heat Statistical mechanics Thermodynamics Thermodynamik (DE-588)4059827-5 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Thermodynamik (DE-588)4059827-5 s DE-604 Statistische Mechanik (DE-588)4056999-8 s Blundell, Katherine M. Verfasser (DE-588)1065695233 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018856705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blundell, Stephen 1967- Blundell, Katherine M. Concepts in thermal physics Mécanique statistique ram Thermique ram Thermodynamique ram Heat Statistical mechanics Thermodynamics Thermodynamik (DE-588)4059827-5 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4059827-5 (DE-588)4056999-8 (DE-588)4123623-3 |
| title | Concepts in thermal physics |
| title_auth | Concepts in thermal physics |
| title_exact_search | Concepts in thermal physics |
| title_full | Concepts in thermal physics Stephen J. Blundell and Katherine M. Blundell |
| title_fullStr | Concepts in thermal physics Stephen J. Blundell and Katherine M. Blundell |
| title_full_unstemmed | Concepts in thermal physics Stephen J. Blundell and Katherine M. Blundell |
| title_short | Concepts in thermal physics |
| title_sort | concepts in thermal physics |
| topic | Mécanique statistique ram Thermique ram Thermodynamique ram Heat Statistical mechanics Thermodynamics Thermodynamik (DE-588)4059827-5 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Mécanique statistique Thermique Thermodynamique Heat Statistical mechanics Thermodynamics Thermodynamik Statistische Mechanik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018856705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT blundellstephen conceptsinthermalphysics AT blundellkatherinem conceptsinthermalphysics |