Elements of statistical mechanics: with an introduction to quantum field theory and numerical simulation
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2006
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XII, 334 S. graph. Darst. |
| ISBN: | 0521841984 9780521841986 |
Staff View
MARC
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| 245 | 1 | 0 | |a Elements of statistical mechanics |b with an introduction to quantum field theory and numerical simulation |c Ivo Sachs ; Siddhartha Sen ; James Sexton |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2006 | |
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Record in the Search Index
| _version_ | 1804134549663252481 |
|---|---|
| adam_text | Contents
Preface
page
List of fundamental physical constants
xii
The]
problem
1
1.1
A molecular model
1
1.2
The basics of classical thermodynamics
2
1.3
The zeroth law of thermodynamics
6
1.4
The first law, heat
9
1.5
The second law, entropy
12
1.6
Gibbs phase rale
22
1.7
Thermodynamic potentials
23
1.8
The third law
29
Statistical mechanics
35
2.1
Fundamental ideas
35
2.2
The canonical ensemble
36
2.3
The perfect gas
38
2.4
The Gibbs paradox
40
2.5
Thermal properties of the classical perfect gas
42
2.6
Paramagnetic systems
43
2.7
The one-dimensional Ising model
45
2.8
Applications in biology
48
Variations of a theme
56
3.1
The grand canonical ensemble
56
3.2
Density fluctuations
60
3.3
Entropy and the Boltzmann constant
62
3.4
Micro canonical ensemble
62
3.5
The full picture
65
Handling interactions
70
4.1
Statement of the problem
70
Contents
4.2
Example: van
71
4.3
General theory: the cluster expansion
74
4.4
Relation to experiment: the virial expansion
79
Monte Carlo
82
5.1
Numerical integration techniques
82
5.2
Markov processes
86
5.3
The Ising model
95
5.4
Implementation of the algorithm
99
5.5
The Lennard-Jones fluid
102
Numerical molecular dynamics
112
6.1
Equations of motion and the micro canonical ensemble
112
6.2
Numerical integration
120
6.3
Choices of algorithm
122
6.4
The Lennard-Jones fluid
134
Quantum statistical mechanics
141
7.1
Quantum mechanics
141
7.2
The quantum partition function
145
7.3
Fermi-Dirac system
146
7.4
Bose-Einstein systems
156
7.5
Specific heat for a solid
163
7.6
Photons
165
7.7
Phonons
166
7.8
Density matrix
168
Astrophysics
175
8.1
Basic problem
175
8.2
White dwarf stars
180
8.3
Chemical reactions
183
8.4
S
185
8.5
Neutron stars
187
8.6
Blackbody spectrum of the Universe
188
Non-relativistic quantum field theory
194
9.1
The quantum field theory formulation
194
9.2
Perturbation theory
206
9.3
Wick s theorem
209
9.4
Green functions
212
9.5
Feynman rules
215
9.6
Scattering cross-section for two helium atoms
220
9.7
Fermions
224
9.8
Finite temperature perturbation theory
227
9.9
Relativistic effects
230
10
Superfluidity
10.1
Quantum field theory formulation
10.2
The quasi-particle approach
10.3
Green function approach
10.4
Summary
11
Path integrals
11.1
Quantum mechanics
11.2
Quantum field theory
11.3
Real time path integral
11.4
Relativistic scalar field
12
A second look
12.1
The connection
12.2
Poincaré
12.3
Ergodicity
12.4
Equipartition law and temperature
12.5
Density of states and surface effects
12.6
Zero-point energy
12.7
Internal degrees of freedom
13
Phase
transitions and the renormalization group
13.1
Basic problem
13.2
Peierls argument
13.3
Landau theory of phase transitions
13.4
Renormalization group
13.5
Critical exponent calculations
13.6
Correlation functions
13.7
Epsilon
Index
Contents
235
237
238
245
249
252
252
261
267
269
272
273
274
276
278
285
287
289
295
295
299
301
308
314
317
319
331
|
| adam_txt |
Contents
Preface
page
List of fundamental physical constants
xii
The]
problem
1
1.1
A molecular model
1
1.2
The basics of classical thermodynamics
2
1.3
The zeroth law of thermodynamics
6
1.4
The first law, heat
9
1.5
The second law, entropy
12
1.6
Gibbs phase rale
22
1.7
Thermodynamic potentials
23
1.8
The third law
29
Statistical mechanics
35
2.1
Fundamental ideas
35
2.2
The canonical ensemble
36
2.3
The perfect gas
38
2.4
The Gibbs paradox
40
2.5
Thermal properties of the classical perfect gas
42
2.6
Paramagnetic systems
43
2.7
The one-dimensional Ising model
45
2.8
Applications in biology
48
Variations of a theme
56
3.1
The grand canonical ensemble
56
3.2
Density fluctuations
60
3.3
Entropy and the Boltzmann constant
62
3.4
Micro canonical ensemble
62
3.5
The full picture
65
Handling interactions
70
4.1
Statement of the problem
70
Contents
4.2
Example: van
71
4.3
General theory: the cluster expansion
74
4.4
Relation to experiment: the virial expansion
79
Monte Carlo
82
5.1
Numerical integration techniques
82
5.2
Markov processes
86
5.3
The Ising model
95
5.4
Implementation of the algorithm
99
5.5
The Lennard-Jones fluid
102
Numerical molecular dynamics
112
6.1
Equations of motion and the micro canonical ensemble
112
6.2
Numerical integration
120
6.3
Choices of algorithm
122
6.4
The Lennard-Jones fluid
134
Quantum statistical mechanics
141
7.1
Quantum mechanics
141
7.2
The quantum partition function
145
7.3
Fermi-Dirac system
146
7.4
Bose-Einstein systems
156
7.5
Specific heat for a solid
163
7.6
Photons
165
7.7
Phonons
166
7.8
Density matrix
168
Astrophysics
175
8.1
Basic problem
175
8.2
White dwarf stars
180
8.3
Chemical reactions
183
8.4
S
185
8.5
Neutron stars
187
8.6
Blackbody spectrum of the Universe
188
Non-relativistic quantum field theory
194
9.1
The quantum field theory formulation
194
9.2
Perturbation theory
206
9.3
Wick's theorem
209
9.4
Green functions
212
9.5
Feynman rules
215
9.6
Scattering cross-section for two helium atoms
220
9.7
Fermions
224
9.8
Finite temperature perturbation theory
227
9.9
Relativistic effects
230
10
Superfluidity
10.1
Quantum field theory formulation
10.2
The quasi-particle approach
10.3
Green function approach
10.4
Summary
11
Path integrals
11.1
Quantum mechanics
11.2
Quantum field theory
11.3
Real time path integral
11.4
Relativistic scalar field
12
A second look
12.1
The connection
12.2
Poincaré
12.3
Ergodicity
12.4
Equipartition law and temperature
12.5
Density of states and surface effects
12.6
Zero-point energy
12.7
Internal degrees of freedom
13
Phase
transitions and the renormalization group
13.1
Basic problem
13.2
Peierls argument
13.3
Landau theory of phase transitions
13.4
Renormalization group
13.5
Critical exponent calculations
13.6
Correlation functions
13.7
Epsilon
Index
Contents
235
237
238
245
249
252
252
261
267
269
272
273
274
276
278
285
287
289
295
295
299
301
308
314
317
319
331 |
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| author | Sachs, Ivo Sen, Siddhartha Sexton, James Christopher 1956- |
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| discipline | Physik |
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| id | DE-604.BV020841685 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:16:48Z |
| indexdate | 2024-07-09T20:26:23Z |
| institution | BVB |
| isbn | 0521841984 9780521841986 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014163554 |
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| physical | XII, 334 S. graph. Darst. |
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| spelling | Sachs, Ivo Verfasser (DE-588)131991434 aut Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation Ivo Sachs ; Siddhartha Sen ; James Sexton 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2006 XII, 334 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Mécanique statistique Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s DE-604 Sen, Siddhartha Verfasser (DE-588)13199218X aut Sexton, James Christopher 1956- Verfasser (DE-588)141228741 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014163554&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sachs, Ivo Sen, Siddhartha Sexton, James Christopher 1956- Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation Mécanique statistique Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4056999-8 |
| title | Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation |
| title_auth | Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation |
| title_exact_search | Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation |
| title_exact_search_txtP | Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation |
| title_full | Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation Ivo Sachs ; Siddhartha Sen ; James Sexton |
| title_fullStr | Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation Ivo Sachs ; Siddhartha Sen ; James Sexton |
| title_full_unstemmed | Elements of statistical mechanics with an introduction to quantum field theory and numerical simulation Ivo Sachs ; Siddhartha Sen ; James Sexton |
| title_short | Elements of statistical mechanics |
| title_sort | elements of statistical mechanics with an introduction to quantum field theory and numerical simulation |
| title_sub | with an introduction to quantum field theory and numerical simulation |
| topic | Mécanique statistique Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Mécanique statistique Statistical mechanics Statistische Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014163554&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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