Holdings: Monte Carlo simulation in statistical physics

Monte Carlo simulation in statistical physics: an introduction

Saved in:

Bibliographic Details
Main Authors:	Binder, Kurt 1944-2022 (Author), Heermann, Dieter W. 1955- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2002
Edition:	4., enl. ed.
Series:	Springer series in solid state sciences 80
Subjects:	Monte Carlo method Random walks (Mathematics) Statistical physics Statistische Physik Monte-Carlo-Simulation
Online Access:	Inhaltsverzeichnis
Physical Description:	XII, 180 S. Ill., graph. Darst.
ISBN:	3540432213

Staff View

MARC


LEADER	00000nam a22000008cb4500
001	BV014187866
003	DE-604
005	20020812
007	t
008	020305s2002 gw ad\|\| \|\|\|\| 00\|\|\| eng d
016	7		\|a 963589059 \|2 DE-101
020			\|a 3540432213 \|9 3-540-43221-3
035			\|a (OCoLC)49785760
035			\|a (DE-599)BVBBV014187866
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-20 \|a DE-355 \|a DE-634 \|a DE-83 \|a DE-19
050		0	\|a QC174.85.M64
082	0		\|a 530.4/15 \|2 21
084			\|a UG 3100 \|0 (DE-625)145625: \|2 rvk
084			\|a UG 3500 \|0 (DE-625)145626: \|2 rvk
100	1		\|a Binder, Kurt \|d 1944-2022 \|e Verfasser \|0 (DE-588)115452907 \|4 aut
245	1	0	\|a Monte Carlo simulation in statistical physics \|b an introduction \|c K. Binder ; D. W. Heermann
250			\|a 4., enl. ed.
264		1	\|a Berlin [u.a.] \|b Springer \|c 2002
300			\|a XII, 180 S. \|b Ill., graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Springer series in solid state sciences \|v 80
490	0		\|a Physics and astronomy online library
650		4	\|a Monte Carlo method
650		4	\|a Random walks (Mathematics)
650		4	\|a Statistical physics
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
689	0	0	\|a Monte-Carlo-Simulation \|0 (DE-588)4240945-7 \|D s
689	0	1	\|a Statistische Physik \|0 (DE-588)4057000-9 \|D s
689	0		\|5 DE-604
700	1		\|a Heermann, Dieter W. \|d 1955- \|e Verfasser \|0 (DE-588)115452974 \|4 aut
830		0	\|a Springer series in solid state sciences \|v 80 \|w (DE-604)BV000016582 \|9 80
856	4	2	\|m SWB Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009725276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-009725276

Record in the Search Index

_version_	1804129066866966528
adam_text	CONTENTS 1. INTRODUCTION: PURPOSE AND SCOPE OF THIS VOLUME, AND SOME GENERAL COMMENTS ............................. 1 2. THEORETICAL FOUNDATIONS OF THE MONTE CARLO METHOD AND ITS APPLICATIONS IN STATISTICAL PHYSICS ................ 5 2.1 SIMPLE SAMPLING VERSUS IMPORTANCE SAMPLING. . . . . . . . . . . . . . 5 2.1.1 MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.1.2 SIMPLE SAMPLING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1.3 RANDOM WALKS AND SELF-AV OIDING WALKS . . . . . . . . . . . . 8 2.1.4 THERMAL AVERAGES BY THE SIMPLE SAMPLING METHOD . . . 13 2.1.5 ADV ANTAGES AND LIMITATIONS OF SIMPLE SAMPLING . . . . . . 14 2.1.6 IMPORTANCE SAMPLING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.1.7 MORE ABOUT MODELS AND ALGORITHMS . . . . . . . . . . . . . . . . 20 2.2 ORGANIZATION OF MONTE CARLO PROGRAMS, AND THE DYNAMIC INTERPRETATION OF MONTE CARLO SAMPLING . . . 23 2.2.1 FIRST COMMENTS ON THE SIMULATION OF THE ISING MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.2.2 BOUNDARY CONDITIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 2.2.3 THE DYNAMIC INTERPRETATION OF THE IMPORTANCE SAMPLING MONTE CARLO METHOD . . . . . . . . . . . . . . . . . . . . . 29 2.2.4 STATISTICAL ERRORS AND TIME-DISPLACED RELAXATION FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.3 FINITE-SIZE EFFECTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.3.1 FINITE-SIZE EFFECTS AT THE PERCOLATION TRANSITION . . . . . . 35 2.3.2 FINITE-SIZE SCALING FOR THE PERCOLATION PROBLEM . . . . . . . 39 2.3.3 BROKEN SYMMETRY AND FINITE-SIZE EFFECTS AT THERMAL PHASE TRANSITIONS . . . . . . . . . . . . . . . . . . . . . . 42 2.3.4 THE ORDER PARAMETER PROBABILITY DISTRIBUTION AND ITS USE TO JUSTIFY FINITE-SIZE SCALING AND PHENOMENOLOGICAL RENORMALIZATION . . . . . . . . . . . . . 44 2.3.5 FINITE-SIZE BEHAV IOR OF RELAXATION TIMES . . . . . . . . . . . . 54 2.3.6 FINITE-SIZE SCALING WITHOUT HYPERSCALING . . . . . . . . . . 57 2.3.7 FINITE-SIZE SCALING FOR FIRST-ORDER PHASE TRANSITIONS . . . . . . . . . . . . . . . . . . . 58 XII CONTENTS 2.3.8 FINITE-SIZE BEHAVIOR OF STATISTICAL ERRORS AND THE PROBLEM OF SELF-AV ERAGING . . . . . . . . . . . . . . . . . . 65 2.4 REMARKS ON THE SCOPE OF THE THEORY CHAPTER . . . . . . . . . . . . . . 68 3. GUIDE TO PRACTICAL WORK WITH THE MONTE CARLO METHOD .. 69 3.1 AIMS OF THE GUIDE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 3.2 SIMPLE SAMPLING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 3.2.1 RANDOM WALK . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 3.2.2 NONREV ERSAL RANDOM WALK . . . . . . . . . . . . . . . . . . . . . . . . 82 3.2.3 SELF-AV OIDING RANDOM WALK . . . . . . . . . . . . . . . . . . . . . . . 83 3.2.4 PERCOLATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 3.3 BIASED SAMPLING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 3.3.1 SELF-AV OIDING RANDOM WALK . . . . . . . . . . . . . . . . . . . . . . . 95 3.4 IMPORTANCE SAMPLING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 3.4.1 ISING MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 3.4.2 SELF-AV OIDING RANDOM WALK . . . . . . . . . . . . . . . . . . . . . . . 112 4. SOME IMPORTANT RECENT DEVELOPMENTS OF THE MONTE CARLO METHODOLOGY ......................... 115 4.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 4.2 APPLICATION OF THE SWENDSEN*WANG CLUSTER ALGORITHM TO THE ISING MODEL . . . . . . . . . . . . . . . . . . . . . 117 4.3 REWEIGHTING METHODS IN THE STUDY OF PHASE DIAGRAMS, FIRST-ORDER PHASE TRANSITIONS, AND INTERFACIAL TENSIONS . . . . . . 122 4.4 SOME COMMENTS ON ADVANCES WITH FINITE-SIZE SCALING ANALYSES . . . . . . . . . . . . . . . . . . . . . . . . . 127 5. QUANTUM MONTE CARLO SIMULATIONS: AN INTRODUCTION ..... 137 5.1 QUANTUM STATISTICAL MECHANICS V S. CLASSICAL STATISTICAL MECHANICS . . . . . . . . . . . . . . . . . . . . . . . . 137 5.2 THE PATH INTEGRAL QUANTUM MONTE CARLO METHOD (PIMC) . . . 143 5.3 QUANTUM MONTE CARLO FOR LATTICE MODELS . . . . . . . . . . . . . . . . . 150 5.4 CONCLUDING REMARKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158 APPENDIX ..................................................... 159 A.1 ALGORITHM FOR THE RANDOM WALK PROBLEM . . . . . . . . . . . . . . . . . 159 A.2 ALGORITHM FOR CLUSTER IDENTIFICATION . . . . . . . . . . . . . . . . . . . . . . . 160 REFERENCES .................................................... 165 BIBLIOGRAPHY .................................................. 175 SUBJECT INDEX ................................................ 177
any_adam_object	1
author	Binder, Kurt 1944-2022 Heermann, Dieter W. 1955-
author_GND	(DE-588)115452907 (DE-588)115452974
author_facet	Binder, Kurt 1944-2022 Heermann, Dieter W. 1955-
author_role	aut aut
author_sort	Binder, Kurt 1944-2022
author_variant	k b kb d w h dw dwh
building	Verbundindex
bvnumber	BV014187866
callnumber-first	Q - Science
callnumber-label	QC174
callnumber-raw	QC174.85.M64
callnumber-search	QC174.85.M64
callnumber-sort	QC 3174.85 M64
callnumber-subject	QC - Physics
classification_rvk	UG 3100 UG 3500
ctrlnum	(OCoLC)49785760 (DE-599)BVBBV014187866
dewey-full	530.4/15
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	530 - Physics
dewey-raw	530.4/15
dewey-search	530.4/15
dewey-sort	3530.4 215
dewey-tens	530 - Physics
discipline	Physik
edition	4., enl. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01963nam a22004938cb4500</leader><controlfield tag="001">BV014187866</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20020812 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020305s2002 gw ad\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">963589059</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540432213</subfield><subfield code="9">3-540-43221-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)49785760</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014187866</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC174.85.M64</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.4/15</subfield><subfield code="2">21</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">UG 3500</subfield><subfield code="0">(DE-625)145626:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Binder, Kurt</subfield><subfield code="d">1944-2022</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115452907</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Monte Carlo simulation in statistical physics</subfield><subfield code="b">an introduction</subfield><subfield code="c">K. Binder ; D. W. Heermann</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">4., enl. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 180 S.</subfield><subfield code="b">Ill., graph. Darst.</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">Springer series in solid state sciences</subfield><subfield code="v">80</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Physics and astronomy online library</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Monte Carlo method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Random walks (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistical physics</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="689" ind1="0" ind2="0"><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="0" ind2="1"><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=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Heermann, Dieter W.</subfield><subfield code="d">1955-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115452974</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Springer series in solid state sciences</subfield><subfield code="v">80</subfield><subfield code="w">(DE-604)BV000016582</subfield><subfield code="9">80</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">SWB Datenaustausch</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=009725276&sequence=000001&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:BVB01-009725276</subfield></datafield></record></collection>
id	DE-604.BV014187866
illustrated	Illustrated
indexdate	2024-07-09T18:59:14Z
institution	BVB
isbn	3540432213
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009725276
oclc_num	49785760
open_access_boolean
owner	DE-20 DE-355 DE-BY-UBR DE-634 DE-83 DE-19 DE-BY-UBM
owner_facet	DE-20 DE-355 DE-BY-UBR DE-634 DE-83 DE-19 DE-BY-UBM
physical	XII, 180 S. Ill., graph. Darst.
publishDate	2002
publishDateSearch	2002
publishDateSort	2002
publisher	Springer
record_format	marc
series	Springer series in solid state sciences
series2	Springer series in solid state sciences Physics and astronomy online library
spelling	Binder, Kurt 1944-2022 Verfasser (DE-588)115452907 aut Monte Carlo simulation in statistical physics an introduction K. Binder ; D. W. Heermann 4., enl. ed. Berlin [u.a.] Springer 2002 XII, 180 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in solid state sciences 80 Physics and astronomy online library Monte Carlo method Random walks (Mathematics) Statistical physics Statistische Physik (DE-588)4057000-9 gnd rswk-swf Monte-Carlo-Simulation (DE-588)4240945-7 gnd rswk-swf Monte-Carlo-Simulation (DE-588)4240945-7 s Statistische Physik (DE-588)4057000-9 s DE-604 Heermann, Dieter W. 1955- Verfasser (DE-588)115452974 aut Springer series in solid state sciences 80 (DE-604)BV000016582 80 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009725276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Binder, Kurt 1944-2022 Heermann, Dieter W. 1955- Monte Carlo simulation in statistical physics an introduction Springer series in solid state sciences Monte Carlo method Random walks (Mathematics) Statistical physics Statistische Physik (DE-588)4057000-9 gnd Monte-Carlo-Simulation (DE-588)4240945-7 gnd
subject_GND	(DE-588)4057000-9 (DE-588)4240945-7
title	Monte Carlo simulation in statistical physics an introduction
title_auth	Monte Carlo simulation in statistical physics an introduction
title_exact_search	Monte Carlo simulation in statistical physics an introduction
title_full	Monte Carlo simulation in statistical physics an introduction K. Binder ; D. W. Heermann
title_fullStr	Monte Carlo simulation in statistical physics an introduction K. Binder ; D. W. Heermann
title_full_unstemmed	Monte Carlo simulation in statistical physics an introduction K. Binder ; D. W. Heermann
title_short	Monte Carlo simulation in statistical physics
title_sort	monte carlo simulation in statistical physics an introduction
title_sub	an introduction
topic	Monte Carlo method Random walks (Mathematics) Statistical physics Statistische Physik (DE-588)4057000-9 gnd Monte-Carlo-Simulation (DE-588)4240945-7 gnd
topic_facet	Monte Carlo method Random walks (Mathematics) Statistical physics Statistische Physik Monte-Carlo-Simulation
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009725276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000016582
work_keys_str_mv	AT binderkurt montecarlosimulationinstatisticalphysicsanintroduction AT heermanndieterw montecarlosimulationinstatisticalphysicsanintroduction

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items