Kinetic theory and statistical mechanics: lecture notes 1968/69
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Courant Institute of Mathematical Sciences
[1970]
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | v, 196 Seiten Illustrationen |
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| 100 | 1 | |a Percus, Jerome K. |d 1926- |0 (DE-588)107917750 |4 aut | |
| 245 | 1 | 0 | |a Kinetic theory and statistical mechanics |b lecture notes 1968/69 |c J. K. Percus |
| 264 | 1 | |a New York |b Courant Institute of Mathematical Sciences |c [1970] | |
| 264 | 4 | |c © 1970 | |
| 300 | |a v, 196 Seiten |b Illustrationen | ||
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Datensatz im Suchindex
| _version_ | 1815529356683902976 |
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Table of Contents
page
1. Kinetic Theory and Thermodynamics of One Dimensional
Classical Ideal Gas 1
a. The One Body Distribution 1
b. The Ideal Gas in One Dimension 5
Homework Assignment No. 1 13
c. Entropy 14
2. Extension to Non Ideal Gases 17
a. Imposition of Weak Long Range Force 17
b. Energy and Entropy 21
Homework Assignment No. 2 23
c. Velocity Equilibration 2k
d. The Pokker Planck Equation 30
e. One Dimensional Van der Waals Gas 36
f. Modifications in Three dimensions 39
3. Review of Thermodynamics 41
a. Role of Entropy 41
b. Derived Concepts 44
c. Thermodynamic Free Energies 48
d. First Order Phase Transition 53
Homework Assignment No. 3 54
e. Particle Number Dependence 57
4. General Kinetic Theory 63
a. Weak Collision Limit 63
Homework Assignment No. 4 65
b. Strong Collisions: Naive Transport Theory 70
c. Relaxation Time Approximation 74
d. The Boltzmann Equation 77
Homework Assignment No. 5 84
5. Fundamentals of Equilibrium Statistical Mechanics 85
a. Classical Microcanonical 85
b. Quantum Microcanonical 93
c. The Entropy 98
d. Canonical Distribution 105
Homework Assignment No. 6 107
e. Grand Canonical Distribution 115
6. The Perfect Gas 119
a. Boltzmann Statistics 119
b. Real Gases at Low Density 128
Homework Assignment No. 7 131
c. Fermi and Bose Statistics 138
Homework Assignment No. 8 147
d. Electron Gas 147
e. Degenerate Bose Gas 156
Homework Assignment No. 9 162
7. The Classical Imperfect Gas 163
a. Equation of State 163
b. Pair Distribution 168
c. Some Approximation Methods 174
Homework Assignment No. 10 178
d. The Ising Model 179
e. Critical Point Behavior 188
Homework Assignment No. 11 196 |
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| author | Percus, Jerome K. 1926- |
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| author_facet | Percus, Jerome K. 1926- |
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| illustrated | Illustrated |
| indexdate | 2024-11-12T15:01:57Z |
| institution | BVB |
| language | English |
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| physical | v, 196 Seiten Illustrationen |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Courant Institute of Mathematical Sciences |
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| spelling | Percus, Jerome K. 1926- (DE-588)107917750 aut Kinetic theory and statistical mechanics lecture notes 1968/69 J. K. Percus New York Courant Institute of Mathematical Sciences [1970] © 1970 v, 196 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Kinetische Theorie (DE-588)4030669-0 gnd rswk-swf Kinetische Theorie (DE-588)4030669-0 s Statistische Mechanik (DE-588)4056999-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002363472&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Percus, Jerome K. 1926- Kinetic theory and statistical mechanics lecture notes 1968/69 Statistische Mechanik (DE-588)4056999-8 gnd Kinetische Theorie (DE-588)4030669-0 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4030669-0 |
| title | Kinetic theory and statistical mechanics lecture notes 1968/69 |
| title_auth | Kinetic theory and statistical mechanics lecture notes 1968/69 |
| title_exact_search | Kinetic theory and statistical mechanics lecture notes 1968/69 |
| title_full | Kinetic theory and statistical mechanics lecture notes 1968/69 J. K. Percus |
| title_fullStr | Kinetic theory and statistical mechanics lecture notes 1968/69 J. K. Percus |
| title_full_unstemmed | Kinetic theory and statistical mechanics lecture notes 1968/69 J. K. Percus |
| title_short | Kinetic theory and statistical mechanics |
| title_sort | kinetic theory and statistical mechanics lecture notes 1968 69 |
| title_sub | lecture notes 1968/69 |
| topic | Statistische Mechanik (DE-588)4056999-8 gnd Kinetische Theorie (DE-588)4030669-0 gnd |
| topic_facet | Statistische Mechanik Kinetische Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002363472&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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