Thermodynamics and statistical mechanics: an integrated approach
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
2014
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XIV, 518 S. graph. Darst. |
| ISBN: | 9781118501016 9781118501009 |
Staff View
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| 245 | 1 | 0 | |a Thermodynamics and statistical mechanics |b an integrated approach |c Robert J. Hardy and Christian Binek |
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Record in the Search Index
| _version_ | 1804152201454551040 |
|---|---|
| adam_text | Contents
ц
Preface
xiii
Parti Elements
of
Thermal
Physics
1
1.
Fundamentals
3
3
6
10
12
13
14
17
19
19
21
21
22
26
3.
Properties and Partial Derivatives
27
3.1
Conventions
27
3.2
Equilibrium Properties
28
34
40
41
42
45
45
48
50
52
58
61
5.1
Solids, Liquids, and Gases
61
5.2
Latent Heats
65
1.1
PVT Systems
1.2
Equilibrium States
1.3
Processes and Heat
1.4
Temperature
1.5
Size Dependence
1.6
Heat Capacity and Specific Heat
Problems
2.
First
Law of Thermodynamics
2.1
Work
2.2
Heat
2.3
The First Law
2.4
Applications
Problems
3.3
Relationships between Properties
3.4
Series Expansions
3.5
Summary
Problems
4.
Processes in Gases
4.1
Ideal Gases
4.2
Temperature Change with Elevation
4.3
Cyclic Processes
4.4
Heat Engines
Problems
vi
Contents
5.3
Van der Waals Model
67
5.4
Classification of Phase Transitions
70
Problems
72
6.
Reversible and Irreversible Processes
75
6.1
Idealization and Reversibility
75
6.2
Nonequilibrium Processes and Irreversibility
76
6.3
Electrical Systems
79
6.4
Heat Conduction
82
Problems
86
Part II Foundations of Thermodynamics
89
7.
Second Law of Thermodynamics
91
7.1
Energy, Heat, and Reversibility
91
7.2
Cyclic Processes
93
7.3
Second Law of Thermodynamics
95
7.4
Carnot Cycles
98
7.5
Absolute Temperature
100
7.6
Applications
103
Problems
107
8.
Temperature Scales and Absolute Zero
109
8.1
Temperature Scales
109
8.2
Uniform Scales and Absolute Zero 111
8.3
Other Temperature Scales
114
Problems
115
9.
State Space and Differentials
117
9.1
Spaces
117
9.2
Differentials
121
9.3
Exact Versus Inexact Differentials
123
9.4
Integrating Differentials
127
9.5
Differentials in Thermodynamics
129
9.6
Discussion and Summary
134
Problems
136
10.
Entropy
139
10.1
Definition of Entropy
139
10.2
Clausius* Theorem
142
10.3
Entropy Principle
145
10.4
Entropy and Irreversibility
148
10.5
Useful Energy
151
10.6
The Third Law
155
10.7
Unattainable ty of Absolute Zero
156
Problems
158
Appendix I
O.A.
Entropy Statement of the Second Law
158
Contents
vii
11. Consequences
of Existence of Entropy
165
11.1
Differentials of Entropy and Energy
165
11.2
Ideal Gases
167
11.3
Relationships Between Cv, CP, BT, Bs, and av
170
11.4
Clapeyron s Equation
172
11.5
Maximum Entropy, Equilibrium, and Stability
174
11.6
Mixing
178
Problems
184
12.
Thermodynamic Potentials
185
12.1
Internal Energy
185
12.2
Free Energies
186
12.3
Properties From Potentials
188
12.4
Systems in Contact with a Heat Reservoir
193
12.5
Minimum Free Energy
194
Problems
197
Appendix
12.
A. Derivatives of Potentials
197
13.
Phase Transitions and Open Systems
201
13.1
Two-Phase Equilibrium
201
13.2
Chemical Potential
206
13.3
Multi
-Component Systems
211
13.4
Gibbs Phase Rule
214
13.5
Chemical Reactions
215
Problems
217
14.
Dielectric and Magnetic Systems
219
14.1
Dielectrics
219
14.2
Magnetic Materials
224
14.3
Critical Phenomena
229
Problems
233
Partin
Statistical Thermodynamics
235
15.
Molecular Models
237
15.1
Microscopic Descriptions
237
15.2
Gas Pressure
238
15.3
Equipartition of Energy
243
15.4
Internal Energy of Solids
246
15.5
Inactive Degrees of Freedom
247
15.6
Microscopic Significance of Heat
248
Problems
253
16.
Kinetic Theory of Gases
255
16.1
Velocity Distribution
255
16.2
Combinatorics
256
16.3
Method of Undetermined Multipliers
258
viii Contents
16.4
Maxwell
Distribution 260
16.5
Mean-Free-Path
265
Problems
267
Appendix
16.
A. Quantum Distributions
267
17.
Microscopic Significance of Entropy
273
17.1
Boltzmann Entropy
273
17.2
Ideal Gas
274
17.3
Statistical Interpretation
278
17.4
Thermodynamic Properties
279
17.5
Boltzmann Factors
284
Problems
286
Appendix
17.
A. Evaluation of I3N
286
PartlV Statistical Mechanics I
289
18.
Ensembles
291
18.1
Probabilities and Averages
291
18.2
Two-Level Systems
293
18.3
Information Theory
295
18.4
Equilibrium Ensembles
298
18.5
Canonical Thermodynamics
302
18.6
Composite Systems
305
Problems
308
Appendix 18.A. Uniqueness Theorem
308
19.
Partition Function
311
19.1
Hamiltonians and Phase Space
311
19.2
Model Hamiltonians
312
19.3
Classical Canonical Ensemble
316
19.4
Thermodynamic Properties and Averages
318
19.5
Ideal Gases
322
19.6
Harmonic Solids
326
Problems
328
20.
Quantum Systems
331
20.1
Energy Eigenstates
331
20.2
Quantum Canonical Ensemble
333
20.3
Ideal Gases
334
20.4
Einstein Model
337
20.5
Classical Approximation
341
Problems
344
Appendix 20.A. Ideal Gas Eigenstates
344
21.
Independent Particles and Paramagnetism
349
21.1
Averages
349
Contents ix
21.2
Statistical Independence
351
21.3
Classical Systems
353
21.4
Paramagnetism
357
21.5
Spin Systems
360
21.6
Classical Dipoles
365
Problems
367
Appendix
2I.A.
Negative Temperature
367
22.
Fluctuations and Energy Distributions
371
22.1
Standard Deviation
371
22.2
Energy Fluctuations
375
22.3
Gibbs Paradox
376
22.4
Microcanonical Ensemble
380
22.5
Comparison of Ensembles
386
Problems
391
23.
Generalizations and Diatomic Gases
393
23.1
Generalized Coordinates
393
23.2
Diatomic Gases
397
23.3
Quantum Effects
402
23.4
Density Matrices
405
23.5
Canonical Ensemble
408
Problems
410
Appendix
23.
A. Classical Approximation
410
PartV Statistical Mechanics
Π
415
24.
Photons and Phonons
417
24.1
Plane Wave Eigenstates
417
24.2
Photons
421
24.3
Harmonic Approximation
425
24.4
Phonons
429
Problems
434
25.
Grand Canonical Ensemble
435
25.
Î
Thermodynamics of Open Systems
435
25.2
Grand Canonical Ensemble
437
25.3
Properties and Fluctuations
438
25.4
Ideal Gases
441
Problems
443
26.
Fermions
and Bosons
445
26.1
Identical Particles
445
26.2
Exchange Symmetry
447
26.3
Fermi-Dirac and
Bőse-Einstein
Statistics
452
Problems
456
Appendix
26.
A. Fermions
in the Canonical Ensemble
457
χ
Contents
27.
Ferrai and
Bose
Gases
461
27.1
Ideal
Gases
461
27.2
Fermi
Gases
465
27.3
Low Temperature Heat Capacity
466
27.4
Bose
Gases
469
Problems
472
28.
Interacting Systems
475
28.1
Ising Model
475
28.2
Nonideal Gases
481
Problems
487
29.
Computer Simulations
489
29.1
Averages
489
29.2
Virial Formula for Pressure
490
29.3
Simulation Algorithms
496
A. Mathematical Relations, Constants, and Properties
501
A.I Partial Derivatives
501
A.2 Integrals and Series
501
A.3 Taylor Series
502
A.4 Hyperbolic Functions
502
A.
5
Fundamental Constants
503
A.6 Conversion Factors
503
A.7 Useful Formulas
503
A.
8
Properties of Water
504
A.9 Properties of Materials
504
Answers to Problems
505
index
509
and Statistical
Mechanics
An Integrated Approach
ROBERT J. HARDY and CHRISTIAN BINEK
Department of Physics, University of Nebraska-Lincoln, USA
This textbook brings together the fundamentals of the macroscopic and
microscopic aspects of thermal physics by presenting thermodynamics and
statistical mechanics as complementary theories based on small numbers of
postulates. The book is designed to give the instructor flexibility in structuring
courses for advanced undergraduates and/or beginning graduate students and
is written on the principle that a good text should also be a good reference.
The presentation of thermodynamics follows the logic of Clausius and Kelvin
while relating the concepts involved to familiar phenomena and the modern
student s knowledge of the atomic nature of matter. Another unique aspect
of the book is the treatment of the mathematics involved. The essential
mathematical concepts are briefly reviewed before using them, and the similarity
of the mathematics to that employed in other fields of physics is emphasized.
The text gives in-depth treatments of low-density gases, harmonic solids,
magnetic and dielectric materials, phase transitions, and the concept of entropy.
The microcanonical, canonical, and grand canonical ensembles of statistical
mechanics are derived and used as the starting point for the analysis of
fluctuations,
blackbody
radiation, the Maxwell distribution, Fermi-Dirac statistics,
Bose-Einstein condensation, and the statistical basis of computer simulations.
|
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| id | DE-604.BV041853610 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:06:57Z |
| institution | BVB |
| isbn | 9781118501016 9781118501009 |
| language | English |
| lccn | 2013039738 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027298010 |
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| physical | XIV, 518 S. graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Wiley |
| record_format | marc |
| spelling | Hardy, Robert J. Verfasser (DE-588)1054383464 aut Thermodynamics and statistical mechanics an integrated approach Robert J. Hardy and Christian Binek 1. publ. Chichester [u.a.] Wiley 2014 XIV, 518 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Thermodynamik (DE-588)4059827-5 s DE-604 Statistische Mechanik (DE-588)4056999-8 s Binek, Christian Verfasser (DE-588)1054384770 aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027298010&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027298010&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Hardy, Robert J. Binek, Christian Thermodynamics and statistical mechanics an integrated approach Statistische Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4059827-5 |
| title | Thermodynamics and statistical mechanics an integrated approach |
| title_auth | Thermodynamics and statistical mechanics an integrated approach |
| title_exact_search | Thermodynamics and statistical mechanics an integrated approach |
| title_full | Thermodynamics and statistical mechanics an integrated approach Robert J. Hardy and Christian Binek |
| title_fullStr | Thermodynamics and statistical mechanics an integrated approach Robert J. Hardy and Christian Binek |
| title_full_unstemmed | Thermodynamics and statistical mechanics an integrated approach Robert J. Hardy and Christian Binek |
| title_short | Thermodynamics and statistical mechanics |
| title_sort | thermodynamics and statistical mechanics an integrated approach |
| title_sub | an integrated approach |
| topic | Statistische Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd |
| topic_facet | Statistische Mechanik Thermodynamik |
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