Macroscopic and statistical thermodynamics:
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
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New Jersey [u.a.]
World Scientific
2006
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| Ausgabe: | expanded English edition |
| Schlagworte: | |
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| Beschreibung: | XVI, 440 S. graph. Darst. |
| ISBN: | 9812566635 9812566643 |
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| 100 | 1 | |a Cheng, Yi-Chen |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Macroscopic and statistical thermodynamics |c Yi-Chen Cheng |
| 250 | |a expanded English edition | ||
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2006 | |
| 300 | |a XVI, 440 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Statistische Thermodynamik |0 (DE-588)4126251-7 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-015002598 | ||
Datensatz im Suchindex
| _version_ | 1804135700148256768 |
|---|---|
| adam_text | Contents
Preface
to the Expanded English Edition
v
Preface to the Chinese Edition
vii
1
Heat and the First Law
1
1.1
The Scope of Thermodynamics
............... 1
1.2
Some Definitions
....................... 5
1.3
The Zeroth Law of Thermodynamics
............ 7
1.4
Equilibrium State
....................... 8
1.5
The First Law of Thermodynamics
............. 10
1.6
Exact and Inexact Differentials
............... 11
1.7
Work in Thermodynamics
.................. 13
1.8
Enthalpy
............................ 14
1.9
Heat Capacity
......................... 15
1.10
Cp
- Cv
for an Ideal Gas
.................. 17
1.11
Reversible Adiabatic Process for an Ideal Gas
....... 18
1.12
Virial Expansion
....................... 19
1.13
Expansion Coefficient and Compressibility
......... 22
1.14
Problems
........................... 24
2
Entropy and the Second Law
29
2.1
Introduction
.......................... 29
2.2
Entropy
............................ 31
Xl
xii Contents
2.3
Spontaneous or Irreversible Processes
............ 33
2.4
Heat Engines and Refrigerators
............... 34
2.5
The Second Law of Thermodynamics
............ 37
2.6
A Carnot Cycle and Carnot Engine
............. 39
2.7
Carnot s Theorem
...................... 41
2.8
Thermodynamic Temperature
................ 43
2.9
Ideal Gas Temperature vs. Thermodynamic
Temperature
......................... 45
2.10
Entropy Derived Prom the Second Law
........... 47
2.11
Entropy Change for a Reversible Process
.......... 50
2.12
The Clausius Inequality
................... 51
2.13
The Principle of Non-Decrease of Entropy and the
Second Law
.......................... 53
2.14
Entropy Change for an Irreversible Process
........ 56
2.15
An Example of Reversible vs. Irreversible Heat
...... 57
2.16
The Natural Variables for
U
and
5............. 61
2.17
Increase of Entropy and Degradation of Energy
...... 62
2.18
Problems
........................... 65
3
Microscopic Interpretation of Entropy
73
3.1
Introduction
.......................... 73
3.2
Macroscopic State vs. Microscopic State
.......... 74
3.3
Entropy and the Multiplicity of
a Macrostate
....... 75
3.4
The Most Probable Energy vs. Thermal Equilibrium
... 79
3.5
Entropy and the Second Law of Thermodynamics
..... 80
3.6
Calculation of
ЩЕ,
V) for an Ideal Gas
.......... 82
3.7
Proof of
U
=
U(T) Thermodynamically
.......... 85
3.8
The Gibbs Paradox
...................... 86
3.9
Thermal Entropy and Configuration Entropy
....... 88
3.10
Problems
........................... 91
Contents xiii
4
Consequences of the First and Second Laws
93
4.1
Calculations of the Entropy Change
............ 93
4.2
Numerical Examples
..................... 96
4.3
Entropy Change for an Ideal Gas
.............. 99
4.4
The Entropy of Mixing
....................102
4.5
The Tds Equations
......................104
4.6
Applications
..........................108
4.7
Problems
...........................112
5
Thermodynamic Potentials
117
5.1
Introduction
..........................117
5.2
Thermodynamic Equilibrium for an Isolated System
. . . 119
5.3
Thermodynamic Potentials
.................121
5.4
The Helmholtz Free Energy
.................123
5.5
The Gibbs Free Energy
....................124
5.6
The Maxwell Relations
....................125
5.7
Open Systems and the Chemical Potential
.........127
5.8
The Gibbs-Duhem Relation
.................129
5.9
Conditions of Stable Equilibrium
..............132
5.10
Problems
...........................137
6
Cooling and the Third Law
141
6.1
Introduction
..........................141
6.2
Gay-Lussac-Joule Experiment
................142
6.3
Cooling by the Joule-Thomson Experiment
........144
6.4
Cooling by Adiabatic Demagnetization
...........149
6.5
Laser Cooling
.........................152
6.6
The Third Law of Thermodynamics
............155
6.7
Equivalence of
Nerast
Statements
..............158
6.8
Consequences of the Third Law
...............160
6.9
Problems
...........................162
xiv Contents
7 Phase
Equilibrium and Binary Mixtures
165
7.1
Introduction
.......................... 165
7.2
Two-Phase Coexistence for a One-Component System
. . 167
7.3
The Clausius-Clapeyron Equation
.............. 169
7.4
Vapor Pressure of a Liquid or Solid
............. 171
7.5
Phase Diagram for a PVT System
............. 172
7.6
Phase Diagrams for 4He and 3He
.............. 175
7.7
Van
Der Waals
Gases
..................... 177
7.8
The Maxwell Construction
.................. 180
7.9
The Critical Point and the Reduced Equation of State
. . 184
7.10
Order of Phase Transitions
.................. 186
7.11
The Gibbs Phase Rule
.................... 190
7-12
Mixing of Ideal Gases
.................... 193
7.13
Binary Mixtures
....................... 196
7.14
Ideal Solutions and Regular Solutions
............ 203
7.15
Phase Diagrams for Binary Mixtures
............ 209
7.16
Problems
........................... 218
8
Applications of Thermodynamics
227
8.1
Introduction
..........................227
8.2
Thermodynamics of Magnetism
...............228
8.3
Surface Tension
........................233
8.4
Dependence of Vapor Pressure on Total Pressure
.....238
8.5
Vapor Pressure of a Liquid Drop
..............240
8.6
Air Temperature as a Function of Elevation
........244
8.7
Osmotic Pressure in Dilute Solutions
............246
8.8
Blackbody Radiation: Photon Gas
.............251
8.9
Problems
...........................259
9
The Kinetic Theory of Gases
267
9.1
Introduction
..........................267
9.2
Basic Assumptions
......................268
Contents xv
9.3 The Distribution
Function and Molecular Flux
...... 270
9.4
Gas Pressure and the Ideal Gas Law
............ 272
9.5
The Equipartition Theorem
................. 276
9.6
The Distribution of Molecular Speeds
............ 279
9.7
The Mean Free Path
..................... 285
9.8
Effusion
............................ 288
9.9
Transport Processes
..................... 289
9.10
Problems
........................... 298
10
Statistical Thermodynamics
303
10.1
Introduction
..........................303
10.2
Three Kinds of Statistics
...................305
10.3
Quantum States and the Density of States
.........307
10.4
Entropy and the Most Probable Distribution
.......311
10.5
The Maxwell-Boltzmann Distribution
............315
10.6
The Physical Meaning of
α
.................317
10.7
The Fermi-Dirac Distribution
................318
10.8
The Bose-Einstein Distribution
...............321
10.9
The Classical Limit
......................323
10.10
Localized Independent Particles
..............325
10.11
Relation with Macroscopic Heat and Work
........325
10.12
The Microcanonical Ensemble
...............326
10.13
The Canonical Ensemble
..................328
10.14
Energy Fluctuation in the Canonical Ensemble
......331
10.15
The Partition Function
...................334
10.16
The Grand Canonical Ensemble
..............337
10.17
Problems
...........................340
11
Application to Simple Systems
347
11.1
Introduction
..........................347
11.2
The One-Particle Partition Function
............347
11.3
The Equipartition Theorem
.................351
xvi
Contents
11.4
One-Dimensional Harmonic Oscillators
...........353
11.5
Classical Monatomic Ideal Gas
...............355
11.6
The Specific Heat of a Diatomic Gas
............357
11.7
The Statistics of a Photon Gas
...............360
11.8
The Specific Heat of a Solid: Phonons
...........363
11.9
Paramagnetism
........................368
11.10
Negative Temperatures
...................374
11.11
Mean Field Theory for Ferromagnetism
..........376
11.12
Problems
...........................381
12
Ideal Quantum Gases
389
12.1
Introduction
..........................389
12.2
The Grand Partition Function Approach
..........389
12.3
Ideal Fermi Gases at
Τ
= 0.................392
12.4
Degenerate Fermi Gases
...................395
12.5
Application to Conduction Electrons
............400
12.6
Ideal
Bose
Gases Near
Τ
- 0................402
12.7
Ideal
Bose
Gases Below Tc
..................405
12.8
Phase Transition of the BE Condensation
.........406
12.9
The Observation of a Gaseous BE Condensation
.....408
12.10
Proof of PV
=
ft/ for an Ideal Gas
............409
12.11
Problems
...........................410
Appendix
415
References
422
Answers to Selected Problems
425
Index
431
Physics Constants
439
Conversion of Units
440
|
| adam_txt |
Contents
Preface
to the Expanded English Edition
v
Preface to the Chinese Edition
vii
1
Heat and the First Law
1
1.1
The Scope of Thermodynamics
. 1
1.2
Some Definitions
. 5
1.3
The Zeroth Law of Thermodynamics
. 7
1.4
Equilibrium State
. 8
1.5
The First Law of Thermodynamics
. 10
1.6
Exact and Inexact Differentials
. 11
1.7
Work in Thermodynamics
. 13
1.8
Enthalpy
. 14
1.9
Heat Capacity
. 15
1.10
Cp
- Cv
for an Ideal Gas
. 17
1.11
Reversible Adiabatic Process for an Ideal Gas
. 18
1.12
Virial Expansion
. 19
1.13
Expansion Coefficient and Compressibility
. 22
1.14
Problems
. 24
2
Entropy and the Second Law
29
2.1
Introduction
. 29
2.2
Entropy
. 31
Xl
xii Contents
2.3
Spontaneous or Irreversible Processes
. 33
2.4
Heat Engines and Refrigerators
. 34
2.5
The Second Law of Thermodynamics
. 37
2.6
A Carnot Cycle and Carnot Engine
. 39
2.7
Carnot's Theorem
. 41
2.8
Thermodynamic Temperature
. 43
2.9
Ideal Gas Temperature vs. Thermodynamic
Temperature
. 45
2.10
Entropy Derived Prom the Second Law
. 47
2.11
Entropy Change for a Reversible Process
. 50
2.12
The Clausius Inequality
. 51
2.13
The Principle of Non-Decrease of Entropy and the
Second Law
. 53
2.14
Entropy Change for an Irreversible Process
. 56
2.15
An Example of Reversible vs. Irreversible Heat
. 57
2.16
The Natural Variables for
U
and
5. 61
2.17
Increase of Entropy and Degradation of Energy
. 62
2.18
Problems
. 65
3
Microscopic Interpretation of Entropy
73
3.1
Introduction
. 73
3.2
Macroscopic State vs. Microscopic State
. 74
3.3
Entropy and the Multiplicity of
a Macrostate
. 75
3.4
The Most Probable Energy vs. Thermal Equilibrium
. 79
3.5
Entropy and the Second Law of Thermodynamics
. 80
3.6
Calculation of
ЩЕ,
V) for an Ideal Gas
. 82
3.7
Proof of
U
=
U(T) Thermodynamically
. 85
3.8
The Gibbs Paradox
. 86
3.9
Thermal Entropy and Configuration Entropy
. 88
3.10
Problems
. 91
Contents xiii
4
Consequences of the First and Second Laws
93
4.1
Calculations of the Entropy Change
. 93
4.2
Numerical Examples
. 96
4.3
Entropy Change for an Ideal Gas
. 99
4.4
The Entropy of Mixing
.102
4.5
The Tds Equations
.104
4.6
Applications
.108
4.7
Problems
.112
5
Thermodynamic Potentials
117
5.1
Introduction
.117
5.2
Thermodynamic Equilibrium for an Isolated System
. . . 119
5.3
Thermodynamic Potentials
.121
5.4
The Helmholtz Free Energy
.123
5.5
The Gibbs Free Energy
.124
5.6
The Maxwell Relations
.125
5.7
Open Systems and the Chemical Potential
.127
5.8
The Gibbs-Duhem Relation
.129
5.9
Conditions of Stable Equilibrium
.132
5.10
Problems
.137
6
Cooling and the Third Law
141
6.1
Introduction
.141
6.2
Gay-Lussac-Joule Experiment
.142
6.3
Cooling by the Joule-Thomson Experiment
.144
6.4
Cooling by Adiabatic Demagnetization
.149
6.5
Laser Cooling
.152
6.6
The Third Law of Thermodynamics
.155
6.7
Equivalence of
Nerast
Statements
.158
6.8
Consequences of the Third Law
.160
6.9
Problems
.162
xiv Contents
7 Phase
Equilibrium and Binary Mixtures
165
7.1
Introduction
. 165
7.2
Two-Phase Coexistence for a One-Component System
. . 167
7.3
The Clausius-Clapeyron Equation
. 169
7.4
Vapor Pressure of a Liquid or Solid
. 171
7.5
Phase Diagram for a PVT System
. 172
7.6
Phase Diagrams for 4He and 3He
. 175
7.7
Van
Der Waals
Gases
. 177
7.8
The Maxwell Construction
. 180
7.9
The Critical Point and the Reduced Equation of State
. . 184
7.10
Order of Phase Transitions
. 186
7.11
The Gibbs Phase Rule
. 190
7-12
Mixing of Ideal Gases
. 193
7.13
Binary Mixtures
. 196
7.14
Ideal Solutions and Regular Solutions
. 203
7.15
Phase Diagrams for Binary Mixtures
. 209
7.16
Problems
. 218
8
Applications of Thermodynamics
227
8.1
Introduction
.227
8.2
Thermodynamics of Magnetism
.228
8.3
Surface Tension
.233
8.4
Dependence of Vapor Pressure on Total Pressure
.238
8.5
Vapor Pressure of a Liquid Drop
.240
8.6
Air Temperature as a Function of Elevation
.244
8.7
Osmotic Pressure in Dilute Solutions
.246
8.8
Blackbody Radiation: Photon Gas
.251
8.9
Problems
.259
9
The Kinetic Theory of Gases
267
9.1
Introduction
.267
9.2
Basic Assumptions
.268
Contents xv
9.3 The Distribution
Function and Molecular Flux
. 270
9.4
Gas Pressure and the Ideal Gas Law
. 272
9.5
The Equipartition Theorem
. 276
9.6
The Distribution of Molecular Speeds
. 279
9.7
The Mean Free Path
. 285
9.8
Effusion
. 288
9.9
Transport Processes
. 289
9.10
Problems
. 298
10
Statistical Thermodynamics
303
10.1
Introduction
.303
10.2
Three Kinds of Statistics
.305
10.3
Quantum States and the Density of States
.307
10.4
Entropy and the Most Probable Distribution
.311
10.5
The Maxwell-Boltzmann Distribution
.315
10.6
The Physical Meaning of
α
.317
10.7
The Fermi-Dirac Distribution
.318
10.8
The Bose-Einstein Distribution
.321
10.9
The Classical Limit
.323
10.10
Localized Independent Particles
.325
10.11
Relation with Macroscopic Heat and Work
.325
10.12
The Microcanonical Ensemble
.326
10.13
The Canonical Ensemble
.328
10.14
Energy Fluctuation in the Canonical Ensemble
.331
10.15
The Partition Function
.334
10.16
The Grand Canonical Ensemble
.337
10.17
Problems
.340
11
Application to Simple Systems
347
11.1
Introduction
.347
11.2
The One-Particle Partition Function
.347
11.3
The Equipartition Theorem
.351
xvi
Contents
11.4
One-Dimensional Harmonic Oscillators
.353
11.5
Classical Monatomic Ideal Gas
.355
11.6
The Specific Heat of a Diatomic Gas
.357
11.7
The Statistics of a Photon Gas
.360
11.8
The Specific Heat of a Solid: Phonons
.363
11.9
Paramagnetism
.368
11.10
Negative Temperatures
.374
11.11
Mean Field Theory for Ferromagnetism
.376
11.12
Problems
.381
12
Ideal Quantum Gases
389
12.1
Introduction
.389
12.2
The Grand Partition Function Approach
.389
12.3
Ideal Fermi Gases at
Τ
= 0.392
12.4
Degenerate Fermi Gases
.395
12.5
Application to Conduction Electrons
.400
12.6
Ideal
Bose
Gases Near
Τ
- 0.402
12.7
Ideal
Bose
Gases Below Tc
.405
12.8
Phase Transition of the BE Condensation
.406
12.9
The Observation of a Gaseous BE Condensation
.408
12.10
Proof of PV
=
ft/ for an Ideal Gas
.409
12.11
Problems
.410
Appendix
415
References
422
Answers to Selected Problems
425
Index
431
Physics Constants
439
Conversion of Units
440 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Cheng, Yi-Chen |
| author_facet | Cheng, Yi-Chen |
| author_role | aut |
| author_sort | Cheng, Yi-Chen |
| author_variant | y c c ycc |
| building | Verbundindex |
| bvnumber | BV021789938 |
| classification_rvk | UG 1000 |
| ctrlnum | (OCoLC)636816575 (DE-599)BVBBV021789938 |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | expanded English edition |
| format | Book |
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| id | DE-604.BV021789938 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:44:16Z |
| indexdate | 2024-07-09T20:44:40Z |
| institution | BVB |
| isbn | 9812566635 9812566643 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015002598 |
| oclc_num | 636816575 |
| open_access_boolean | |
| owner | DE-29T DE-703 |
| owner_facet | DE-29T DE-703 |
| physical | XVI, 440 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Cheng, Yi-Chen Verfasser aut Macroscopic and statistical thermodynamics Yi-Chen Cheng expanded English edition New Jersey [u.a.] World Scientific 2006 XVI, 440 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistische Thermodynamik (DE-588)4126251-7 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Thermodynamik (DE-588)4059827-5 s DE-604 Statistische Thermodynamik (DE-588)4126251-7 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015002598&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cheng, Yi-Chen Macroscopic and statistical thermodynamics Statistische Thermodynamik (DE-588)4126251-7 gnd Thermodynamik (DE-588)4059827-5 gnd |
| subject_GND | (DE-588)4126251-7 (DE-588)4059827-5 |
| title | Macroscopic and statistical thermodynamics |
| title_auth | Macroscopic and statistical thermodynamics |
| title_exact_search | Macroscopic and statistical thermodynamics |
| title_exact_search_txtP | Macroscopic and statistical thermodynamics |
| title_full | Macroscopic and statistical thermodynamics Yi-Chen Cheng |
| title_fullStr | Macroscopic and statistical thermodynamics Yi-Chen Cheng |
| title_full_unstemmed | Macroscopic and statistical thermodynamics Yi-Chen Cheng |
| title_short | Macroscopic and statistical thermodynamics |
| title_sort | macroscopic and statistical thermodynamics |
| topic | Statistische Thermodynamik (DE-588)4126251-7 gnd Thermodynamik (DE-588)4059827-5 gnd |
| topic_facet | Statistische Thermodynamik Thermodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015002598&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT chengyichen macroscopicandstatisticalthermodynamics |