Basics of statistical physics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2022]
|
| Edition: | Third edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 243 - 248 |
| Physical Description: | xvi, 254 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811256097 |
Staff View
MARC
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| 100 | 1 | |a Müller-Kirsten, Harald J. W. |e Verfasser |0 (DE-588)139821864 |4 aut | |
| 245 | 1 | 0 | |a Basics of statistical physics |c Harald J. W. Müller-Kirsten |
| 250 | |a Third edition | ||
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2022] | |
| 300 | |a xvi, 254 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 243 - 248 | ||
| 650 | 0 | 7 | |a Statistische Physik |0 (DE-588)4057000-9 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804183523286843392 |
|---|---|
| adam_text | Contents
Preface to Third Edition
Preface to Second Edition
Preface to First Edition
1 Introduction
1 1 Introductory Remarks 2 oc on
1 2 Thermodynamic Potentials 2 0 00 ee
13 Capacity ofHeat 2:2 ee ee ee
1 4 Frequently Used Terms 222 2 nenn
1 5 Applications and Examples 2222 onen
1 6 Problems without Worked Solutions
2 Statistical Mechanics of an Ideal Gas (Maxwell)
2 1 Introductory Remarks 0 00082 0s
2 2 Maxwell’s Treatment 2 oo mern
2 3 Lagrange’s Method of Multipliers 2 222220
24 Applications 222200 ee
241 Pressure exerted on the wallofavessel
242 Effusion of gas through ahole ,
243 Thermionicemission - 0008
2 5 Distribution Function for all Directions -
2 6 Applications and Examples 00 000048
2 7 Problems without Worked Solutions
3 The a priori Probability
3 1 Introductory Remarks 222m nn nenn
3 2 The a priori Probability 10200 00 ee eee
3 3 Examples Illustrating Liouville’s Theorem
3 4 Insertion of Physical Conditions
v
xi
xiii
vi
3 5 Applications and Examples 2: : onen
3 6 Problems without Worked Solutions 222 ccm 22
Classical Statistics (Maxwell-Boltzmann)
4 1 Introductory Remarks on on mo,
4 2 The Number of Arrangements of Elements in
Maxwell-Boltzmann Statisties 2 02 ccm
4 3 Method of Maximum Probability 2222m mon
431 The case of nonconserved elements ,
432 The case of conserved elements ,
433 The meaning of 0 00 ,
434 Identification of u with 1/kT 2 0 0000
435 Distribution of particles in the atmosphere ,
436 Law of equipartition of energy rn
4 4 Applicatios 2200 00 00 00
441 The monatomic gas , ,
A An
4 5 Applications and Examples 222 2 on
4 6 Problems without Worked Solutions , ,
Entropy
5 1 Introductory Remarks 222022
5 2 The Boltzmann Formula 222022
5 3 Applications and Examples 2 0
5 4 Problems without Worked Solutions 2 2 oo oo
Quantum Statistics
6 1 Introductory Remarks 2 2 2220
62A priori Weighting in Quantum Statistics 2
621 Approximate calculation of number of states
622 Accurate calculation of number of states
623 Examples 200
6 3 The Allowed Number of Elements in Quantum States
6 31 Ome element nn
632 Two non-interacting elements 2 een
633 More than two elements Stuck together
6 4 Counting of Number of Arrangements
641 Fermi-Dirac statistics
642 Bose-Einstein statistics 2222000
6 5 Quantum Statistics at High Temperatures
6 6 Applications
Contents
6 7 Summary
Applications and Examples 0 00005000
Problems without Worked Solutions
7 Exact Form of Distribution Functions
Introductory Remarks 2222n nennen
Fermi-Dirac Occupation Numbers 2222 20
Bose-Einstein Occupation Numbers -
Thermodynamical Functions - - 20-
Applications and Examples 2 2 nommen
Problems without Worked Solutions
8 Application to Radiation (Light Quanta)
Introductory Remarks 0 00 ee eee
Planck’s Radiation Law 2 2 eee ee ee
Black Body Thermal Radiation 0 0 0005
Applications and Examples 2 Common
Problems without Worked Solutions
9 Debye Theory of Specific Heat of Solids
Introductory Remarks - -2 2+ 000 ee
The Calculation 2 0 ee ee ee ee
Applications and Examples 000084
Problems without Worked Solutions 4
10 Electrons in Metals
10 1 Introductory Remarks 000 000
10 2 Evaluation of the Distribution Function
10 2 1 First approximation 20222 ce eee
10 2 2 Second degree of approximation
10 3 Applications and Examples 0050004
10 4 Problems without Worked Solutions
11 Limitations of the Preceding Theory — Improvement
with Ensemble Method
11 1 Introductory Remarks
11 2 Ensembles — Three Types
11 2 1 Ensembles and ergodic hypothesis
11 2 2 The ensemble distribution function
11 3 The Canonical Ensemble of a Closed System
11 3 1 Thermodynamics of a closed system in a heat bath
vii
viii Contents
11 4 The Grand Canonical Ensemble 165
11 5 Ensemble Method of Maximum Probability , 166
11 6 Comments on the Function P222mm mn 167
11 7 Applications and Examples 169
11 8 Problems without Worked Solutions 174
12 Averaging instead of Maximization, and Bose-Einstein
Condensation 177
12 1 Introductory Remarks 00 00000 177
12 2 The Darwin-Fowler Method of Mean Values 178
12 2 1 Mean occupation number Tee ee eee ee ee 179
12 2 2 Taking subsidiary condition into account 180
12 3 Classical Statistics 200 ee ee ee 181
12 4 Quantum Statisties oo om oo 183
12 4 1 Fermi—Dirac statistics 2 oo oo nn 183
12 4 2 Bose-Einstein statistics 0 184
12 4 3 Evaluation of the coefficient of wN inZ, 184
12 5 Bose-Einstein Condensation 22222 mn 190
12 5 1 The phenomenon of Bose-Einstein condensation 190
12 5 2 Derivation of the Bose-Einstein distribution function
under condensation conditions 191
12 6 Applications and Examples 00 201
12 7 Problems without Worked Solutions 212
13 The Boltzmann Transport Equation 215
13 1 Introductory Remarks 0 0 000000 eee 215
13 2 Distribution Functions 2 22: on om mn 215
13 3 Solution of the Boltzmann Equation 217
13 3 1 Solving the Boltzmann equation for two typical cases 218
13 3 2 Calculation of the current density 219
13 3 3 Application to metals 2 22 none 220
13 3 4 Calculation of the relaxation time 222
13 4 Applications and Examples 2 2 Co onen 228
13 5 Problems without Worked Solutions 228
14 Thermal Radiation of Black Holes 231
14 1 Preliminary Remarks 200-- 231
14 2 Background Geometry 0020 04 2 e eee 231
14 3 Rindler Coordinates 222 vo ee ee ee ee 232
14 4 Introduction of Fields ::: 2:22 onen 234
14 5 Thermalization 2:2: 2m mern 236
Contents
14 6 Black Hole Evaporation
14 7 Applications and Examples
14 8 Problems without Worked Solutions
Bibliography
Index
|
| adam_txt |
Contents
Preface to Third Edition
Preface to Second Edition
Preface to First Edition
1 Introduction
1 1 Introductory Remarks 2 oc on
1 2 Thermodynamic Potentials 2 0 00 ee
13 Capacity ofHeat 2:2 ee ee ee
1 4 Frequently Used Terms 222 2 nenn
1 5 Applications and Examples 2222 onen
1 6 Problems without Worked Solutions
2 Statistical Mechanics of an Ideal Gas (Maxwell)
2 1 Introductory Remarks 0 00082 0s
2 2 Maxwell’s Treatment 2 oo mern
2 3 Lagrange’s Method of Multipliers 2 222220
24 Applications 222200 ee
241 Pressure exerted on the wallofavessel
242 Effusion of gas through ahole ,
243 Thermionicemission - 0008
2 5 Distribution Function for all Directions -
2 6 Applications and Examples 00 000048
2 7 Problems without Worked Solutions
3 The a priori Probability
3 1 Introductory Remarks 222m nn nenn
3 2 The a priori Probability 10200 00 ee eee
3 3 Examples Illustrating Liouville’s Theorem
3 4 Insertion of Physical Conditions
v
xi
xiii
vi
3 5 Applications and Examples 2: : onen
3 6 Problems without Worked Solutions 222 ccm 22
Classical Statistics (Maxwell-Boltzmann)
4 1 Introductory Remarks on on mo,
4 2 The Number of Arrangements of Elements in
Maxwell-Boltzmann Statisties 2 02 ccm
4 3 Method of Maximum Probability 2222m mon
431 The case of nonconserved elements ,
432 The case of conserved elements ,
433 The meaning of 0 00 ,
434 Identification of u with 1/kT 2 0 0000
435 Distribution of particles in the atmosphere ,
436 Law of equipartition of energy rn
4 4 Applicatios 2200 00 00 00
441 The monatomic gas , ,
A An
4 5 Applications and Examples 222 2 on
4 6 Problems without Worked Solutions , ,
Entropy
5 1 Introductory Remarks 222022
5 2 The Boltzmann Formula 222022
5 3 Applications and Examples 2 0
5 4 Problems without Worked Solutions 2 2 oo oo
Quantum Statistics
6 1 Introductory Remarks 2 2 2220
62A priori Weighting in Quantum Statistics 2
621 Approximate calculation of number of states
622 Accurate calculation of number of states
623 Examples 200
6 3 The Allowed Number of Elements in Quantum States
6 31 Ome element nn
632 Two non-interacting elements 2 een
633 More than two elements Stuck together
6 4 Counting of Number of Arrangements
641 Fermi-Dirac statistics
642 Bose-Einstein statistics 2222000
6 5 Quantum Statistics at High Temperatures
6 6 Applications
Contents
6 7 Summary
Applications and Examples 0 00005000
Problems without Worked Solutions
7 Exact Form of Distribution Functions
Introductory Remarks 2222n nennen
Fermi-Dirac Occupation Numbers 2222 20
Bose-Einstein Occupation Numbers -
Thermodynamical Functions - - 20-
Applications and Examples 2 2 nommen
Problems without Worked Solutions
8 Application to Radiation (Light Quanta)
Introductory Remarks 0 00 ee eee
Planck’s Radiation Law 2 2 eee ee ee
Black Body Thermal Radiation 0 0 0005
Applications and Examples 2 Common
Problems without Worked Solutions
9 Debye Theory of Specific Heat of Solids
Introductory Remarks - -2 2+ 000 ee
The Calculation 2 0 ee ee ee ee
Applications and Examples 000084
Problems without Worked Solutions 4
10 Electrons in Metals
10 1 Introductory Remarks 000 000
10 2 Evaluation of the Distribution Function
10 2 1 First approximation 20222 ce eee
10 2 2 Second degree of approximation
10 3 Applications and Examples 0050004
10 4 Problems without Worked Solutions
11 Limitations of the Preceding Theory — Improvement
with Ensemble Method
11 1 Introductory Remarks
11 2 Ensembles — Three Types
11 2 1 Ensembles and ergodic hypothesis
11 2 2 The ensemble distribution function
11 3 The Canonical Ensemble of a Closed System
11 3 1 Thermodynamics of a closed system in a heat bath
vii
viii Contents
11 4 The Grand Canonical Ensemble 165
11 5 Ensemble Method of Maximum Probability , 166
11 6 Comments on the Function P222mm mn 167
11 7 Applications and Examples 169
11 8 Problems without Worked Solutions 174
12 Averaging instead of Maximization, and Bose-Einstein
Condensation 177
12 1 Introductory Remarks 00 00000 177
12 2 The Darwin-Fowler Method of Mean Values 178
12 2 1 Mean occupation number Tee ee eee ee ee 179
12 2 2 Taking subsidiary condition into account 180
12 3 Classical Statistics 200 ee ee ee 181
12 4 Quantum Statisties oo om oo 183
12 4 1 Fermi—Dirac statistics 2 oo oo nn 183
12 4 2 Bose-Einstein statistics 0 184
12 4 3 Evaluation of the coefficient of wN inZ, 184
12 5 Bose-Einstein Condensation 22222 mn 190
12 5 1 The phenomenon of Bose-Einstein condensation 190
12 5 2 Derivation of the Bose-Einstein distribution function
under condensation conditions 191
12 6 Applications and Examples 00 201
12 7 Problems without Worked Solutions 212
13 The Boltzmann Transport Equation 215
13 1 Introductory Remarks 0 0 000000 eee 215
13 2 Distribution Functions 2 22: on om mn 215
13 3 Solution of the Boltzmann Equation 217
13 3 1 Solving the Boltzmann equation for two typical cases 218
13 3 2 Calculation of the current density 219
13 3 3 Application to metals 2 22 none 220
13 3 4 Calculation of the relaxation time 222
13 4 Applications and Examples 2 2 Co onen 228
13 5 Problems without Worked Solutions 228
14 Thermal Radiation of Black Holes 231
14 1 Preliminary Remarks 200-- 231
14 2 Background Geometry 0020 04 2 e eee 231
14 3 Rindler Coordinates 222 vo ee ee ee ee 232
14 4 Introduction of Fields ::: 2:22 onen 234
14 5 Thermalization 2:2: 2m mern 236
Contents
14 6 Black Hole Evaporation
14 7 Applications and Examples
14 8 Problems without Worked Solutions
Bibliography
Index |
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| spelling | Müller-Kirsten, Harald J. W. Verfasser (DE-588)139821864 aut Basics of statistical physics Harald J. W. Müller-Kirsten Third edition New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2022] xvi, 254 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 243 - 248 Statistische Physik (DE-588)4057000-9 gnd rswk-swf Statistical physics (DE-588)4123623-3 Lehrbuch gnd-content Statistische Physik (DE-588)4057000-9 s DE-604 Erscheint auch als Online-Ausgabe, for institutions 978-981-125-610-3 Erscheint auch als Online-Ausgabe, for individuals 978-981-125-611-0 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033289416&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Müller-Kirsten, Harald J. W. Basics of statistical physics Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4057000-9 (DE-588)4123623-3 |
| title | Basics of statistical physics |
| title_auth | Basics of statistical physics |
| title_exact_search | Basics of statistical physics |
| title_exact_search_txtP | Basics of statistical physics |
| title_full | Basics of statistical physics Harald J. W. Müller-Kirsten |
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| title_full_unstemmed | Basics of statistical physics Harald J. W. Müller-Kirsten |
| title_short | Basics of statistical physics |
| title_sort | basics of statistical physics |
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| topic_facet | Statistische Physik Lehrbuch |
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