Statistical mechanics algorithms and computations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2008
|
| Ausgabe: | 1. publ., repr. |
| Schriftenreihe: | Oxford master series in physics
13 : Statistical, computational, and theoretical physics |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV036726013 | ||
| 003 | DE-604 | ||
| 005 | 20101020 | ||
| 007 | t | ||
| 008 | 101018s2008 ad|| |||| 00||| eng d | ||
| 020 | |a 0198515359 |9 0-19-851535-9 | ||
| 020 | |a 9780198515357 |9 978-0-19-851535-7 | ||
| 020 | |a 0198515367 |9 0-19-851536-7 | ||
| 020 | |a 9780198515364 |9 978-0-19-851536-4 | ||
| 035 | |a (OCoLC)554069333 | ||
| 035 | |a (DE-599)BVBBV036726013 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-739 | ||
| 082 | 0 | |a 530.13 | |
| 084 | |a ST 630 |0 (DE-625)143685: |2 rvk | ||
| 084 | |a UG 3100 |0 (DE-625)145625: |2 rvk | ||
| 084 | |a PHY 050f |2 stub | ||
| 084 | |a PHY 016d |2 stub | ||
| 084 | |a PHY 015f |2 stub | ||
| 100 | 1 | |a Krauth, Werner |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Statistical mechanics |b algorithms and computations |c Werner Krauth |
| 250 | |a 1. publ., repr. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2008 | |
| 300 | |a XII, 342 S. |b Ill., graph. Darst. |e 1 CD-ROM (12 cm) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Oxford master series in physics |v 13 : Statistical, computational, and theoretical physics | |
| 650 | 0 | 7 | |a Stochastisches Modell |0 (DE-588)4057633-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistische Physik |0 (DE-588)4057000-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Monte-Carlo-Simulation |0 (DE-588)4240945-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Computerphysik |0 (DE-588)4273564-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Statistische Physik |0 (DE-588)4057000-9 |D s |
| 689 | 0 | 1 | |a Computerphysik |0 (DE-588)4273564-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Computerphysik |0 (DE-588)4273564-6 |D s |
| 689 | 1 | 1 | |a Stochastisches Modell |0 (DE-588)4057633-4 |D s |
| 689 | 1 | 2 | |a Monte-Carlo-Simulation |0 (DE-588)4240945-7 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Oxford master series in physics |v 13 : Statistical, computational, and theoretical physics |w (DE-604)BV017064373 |9 13 | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020643777&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020643777 | ||
Datensatz im Suchindex
| _version_ | 1804143376750084096 |
|---|---|
| adam_text | Contents
1 Monte Carlo
methods
1
1.1
Popular games in
Monaco 3
1.1.1
Direct sampling
3
1.1.2
Markov-chain sampling
4
1.1.3
Historical origins
9
1.1.4
Detailed balance
15
1.1.5
The Metropolis algorithm
21
1.1.6
A priori probabilities, triangle algorithm
22
1.1.7
Perfect sampling with Markov chains
24
1.2
Basic sampling
27
1.2.1
Real random numbers
27
1.2.2
Random integers, permutations, and combinations
29
1.2.3
Finite distributions
33
1.2.4
Continuous distributions and sample transformation
35
1.2.5
Gaussiane
37
1.2.6
Random points in/on a sphere
39
1.3
Statistical data analysis
44
1.3.1
Sum of random variables, convolution
44
1.3.2
Mean value and variance
48
1.3.3
The central limit theorem
52
1.3.4
Data analysis for independent variables
55
1.3.5
Error estimates for Markov chains
59
1.4
Computing
62
1.4.1
Ergodicity
62
1.4.2
Importance sampling
63
1.4.3
Monte Carlo quality control
68
1.4.4
Stable distributions
70
1.4.5
Minimum number of samples
76
Exercises
77
References
79
2
Hard disks and spheres
81
2.1
Newtonian deterministic mechanics
83
2.1.1
Pair collisions and wall collisions
83
2.1.2
Chaotic dynamics
86
2.1.3
Observables
87
2.1.4
Periodic boundary conditions
90
2.2
Boltzmann s statistical mechanics
92
2.2.1
Direct disk sampling
95
2.2.2
Partition
function for hard disks
97
2.2.3
Markov-chain hard-sphere algorithm
100
2.2.4
Velocities: the Maxwell distribution
103
2.2.5
Hydrodynamics: long-time tails
105
2.3
Pressure and the Boltzmann distribution
108
2.3.1
Bath-and-plate system
109
2.3.2
Piston-and-plate system 111
2.3.3
Ideal gas at constant pressure
113
2.3.4
Constant-pressure simulation of hard spheres
115
2.4
Large hard-sphere systems
119
2.4.1
Grid/cell schemes
119
2.4.2
Liquid-solid transitions
120
2.5
Cluster algorithms
122
2.5.1
Avalanches and independent sets
123
2.5.2
Hard-sphere cluster algorithm
125
Exercises
128
References
130
Density matrices and path integrals
131
3.1
Density matrices
133
3.1.1
The quantum harmonic oscillator
133
3.1.2
Free density matrix
135
3.1.3
Density matrices for a box
137
3.1.4
Density matrix in a rotating box
139
3.2
Matrix squaring
143
3.2.1
High-temperature limit, convolution
143
3.2.2
Harmonic oscillator (exact solution)
145
3.2.3
Infinitesimal matrix products
148
3.3
The Feynman path integral
149
3.3.1
Naive path sampling
150
3.3.2
Direct path sampling and the Levy construction
152
3.3.3
Periodic boundary conditions, paths in a box
155
3.4
Pair density matrices
159
3.4.1
Two quantum hard spheres
160
3.4.2
Perfect pair action
162
3.4.3
Many-particle density matrix
167
3.5
Geometry of paths
168
3.5.1
Paths in Fourier space
169
3.5.2
Path maxima, correlation functions
174
3.5.3
Classical random paths
177
Exercises
182
References
184
Bosons
185
4.1
Ideal bosons (energy levels)
187
4.1.1
Single-particle density of states
187
4.1.2
Trapped bosons (canonical ensemble)
190
4.1.3
Trapped bosons (grand canonical ensemble)
196
4.1.4
Large-
N
limit in the grand canonical ensemble
200
4.1.5
Differences between ensembles
—
fluctuations
205
4.1.6
Homogeneous
Bose gas
206
4.2
The ideal
Bose gas
(density matrices)
209
4.2.1
Bosonic density matrix
209
4.2.2
Recursive counting of permutations
212
4.2.3
Canonical partition function of ideal bosons
213
4.2.4
Cycle-length distribution, condensate fraction
217
4.2.5
Direct-sampling algorithm for ideal bosons
219
4.2.6
Homogeneous
Bose gas,
winding numbers
221
4.2.7
Interacting bosons
224
Exercises
225
References
227
5
Order and disorder in spin systems
229
5.1
The Ising model
—
exact computations
231
5.1.1
Listing spin configurations
232
5.1.2
Thermodynamics, specific heat capacity, and mag¬
netization
234
5.1.3
Listing loop configurations
236
5.1.4
Counting (not listing) loops in two dimensions
240
5.1.5
Density of states from thermodynamics
247
5.2
The Ising model
—
Monte Carlo algorithms
249
5.2.1
Local sampling methods
249
5.2.2
Heat bath and perfect sampling
252
5.2.3
Cluster algorithms
254
5.3
Generalized Ising models
259
5.3.1
The two-dimensional spin glass
259
5.3.2
Liquids as Ising-spin-glass models
262
Exercises
264
References
266
6
Entropie
forces
267
6.1
Entropie
continuum models and mixtures
269
6.1.1
Random clothes-pins
269
6.1.2
The Asakura-Oosawa depletion interaction
273
6.1.3
Binary mixtures
277
6.2
Entropie
lattice model: dimers
281
6.2.1
Basic enumeration
281
6.2.2
Breadth-first and depth-first enumeration
284
6.2.3
PfafBan dimer enumerations
288
6.2.4
Monte Carlo algorithms for the monomer-dimer
problem
296
6.2.5
Monomer-dimer partition function
299
Exercises
303
References
305
Τ
Dynamic Monte Carlo methods
307
7.1
Random sequential deposition
309
7.1.1
Faster-than-the-clock algorithms
310
7.2
Dynamic spin algorithms
313
7.2.1
Spin-flips and dice throws
314
7.2.2
Accelerated algorithms for discrete systems
317
7.2.3
Futility
319
7.3
Disks on the unit sphere
321
7.3.1
Simulated annealing
324
7.3.2
Asymptotic densities and paper-cutting
327
7.3.3 Polydisperse
disks and the glass transition
330
7.3.4
Jamming and planar graphs
331
Exercises
333
References
335
Acknowledgements
337
Index
339
|
| any_adam_object | 1 |
| author | Krauth, Werner |
| author_facet | Krauth, Werner |
| author_role | aut |
| author_sort | Krauth, Werner |
| author_variant | w k wk |
| building | Verbundindex |
| bvnumber | BV036726013 |
| classification_rvk | ST 630 UG 3100 |
| classification_tum | PHY 050f PHY 016d PHY 015f |
| ctrlnum | (OCoLC)554069333 (DE-599)BVBBV036726013 |
| dewey-full | 530.13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.13 |
| dewey-search | 530.13 |
| dewey-sort | 3530.13 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik |
| edition | 1. publ., repr. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02232nam a2200541 cb4500</leader><controlfield tag="001">BV036726013</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20101020 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">101018s2008 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0198515359</subfield><subfield code="9">0-19-851535-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780198515357</subfield><subfield code="9">978-0-19-851535-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0198515367</subfield><subfield code="9">0-19-851536-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780198515364</subfield><subfield code="9">978-0-19-851536-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)554069333</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV036726013</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.13</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ST 630</subfield><subfield code="0">(DE-625)143685:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UG 3100</subfield><subfield code="0">(DE-625)145625:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 050f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 016d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 015f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Krauth, Werner</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Statistical mechanics</subfield><subfield code="b">algorithms and computations</subfield><subfield code="c">Werner Krauth</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ., repr.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford [u.a.]</subfield><subfield code="b">Oxford Univ. Press</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 342 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield><subfield code="e">1 CD-ROM (12 cm)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Oxford master series in physics</subfield><subfield code="v">13 : Statistical, computational, and theoretical physics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastisches Modell</subfield><subfield code="0">(DE-588)4057633-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistische Physik</subfield><subfield code="0">(DE-588)4057000-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Monte-Carlo-Simulation</subfield><subfield code="0">(DE-588)4240945-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Computerphysik</subfield><subfield code="0">(DE-588)4273564-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Statistische Physik</subfield><subfield code="0">(DE-588)4057000-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Computerphysik</subfield><subfield code="0">(DE-588)4273564-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Computerphysik</subfield><subfield code="0">(DE-588)4273564-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Stochastisches Modell</subfield><subfield code="0">(DE-588)4057633-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Monte-Carlo-Simulation</subfield><subfield code="0">(DE-588)4240945-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Oxford master series in physics</subfield><subfield code="v">13 : Statistical, computational, and theoretical physics</subfield><subfield code="w">(DE-604)BV017064373</subfield><subfield code="9">13</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020643777&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-020643777</subfield></datafield></record></collection> |
| id | DE-604.BV036726013 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:46:41Z |
| institution | BVB |
| isbn | 0198515359 9780198515357 0198515367 9780198515364 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020643777 |
| oclc_num | 554069333 |
| open_access_boolean | |
| owner | DE-739 |
| owner_facet | DE-739 |
| physical | XII, 342 S. Ill., graph. Darst. 1 CD-ROM (12 cm) |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series | Oxford master series in physics |
| series2 | Oxford master series in physics |
| spelling | Krauth, Werner Verfasser aut Statistical mechanics algorithms and computations Werner Krauth 1. publ., repr. Oxford [u.a.] Oxford Univ. Press 2008 XII, 342 S. Ill., graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Oxford master series in physics 13 : Statistical, computational, and theoretical physics Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf Monte-Carlo-Simulation (DE-588)4240945-7 gnd rswk-swf Computerphysik (DE-588)4273564-6 gnd rswk-swf Statistische Physik (DE-588)4057000-9 s Computerphysik (DE-588)4273564-6 s DE-604 Stochastisches Modell (DE-588)4057633-4 s Monte-Carlo-Simulation (DE-588)4240945-7 s Oxford master series in physics 13 : Statistical, computational, and theoretical physics (DE-604)BV017064373 13 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020643777&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krauth, Werner Statistical mechanics algorithms and computations Oxford master series in physics Stochastisches Modell (DE-588)4057633-4 gnd Statistische Physik (DE-588)4057000-9 gnd Monte-Carlo-Simulation (DE-588)4240945-7 gnd Computerphysik (DE-588)4273564-6 gnd |
| subject_GND | (DE-588)4057633-4 (DE-588)4057000-9 (DE-588)4240945-7 (DE-588)4273564-6 |
| title | Statistical mechanics algorithms and computations |
| title_auth | Statistical mechanics algorithms and computations |
| title_exact_search | Statistical mechanics algorithms and computations |
| title_full | Statistical mechanics algorithms and computations Werner Krauth |
| title_fullStr | Statistical mechanics algorithms and computations Werner Krauth |
| title_full_unstemmed | Statistical mechanics algorithms and computations Werner Krauth |
| title_short | Statistical mechanics |
| title_sort | statistical mechanics algorithms and computations |
| title_sub | algorithms and computations |
| topic | Stochastisches Modell (DE-588)4057633-4 gnd Statistische Physik (DE-588)4057000-9 gnd Monte-Carlo-Simulation (DE-588)4240945-7 gnd Computerphysik (DE-588)4273564-6 gnd |
| topic_facet | Stochastisches Modell Statistische Physik Monte-Carlo-Simulation Computerphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020643777&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV017064373 |
| work_keys_str_mv | AT krauthwerner statisticalmechanicsalgorithmsandcomputations |