Cluster Monte Carlo simulations of the nematic-isotropic transition

Cluster Monte Carlo simulations of the nematic-isotropic transition

We report the results of simulations of the three-dimensional Lebwohl-Lasher model of the nematic-isotropic transition using a single cluster Monte Carlo algorithm. The algorithm, first introduced by Kunz and Zumbach to study two-dimensional nematics, is a modification of the Wolff algorithm for spi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2001-06, Vol.63 (6 Pt 1), p.062702-062702, Article 062702
Hauptverfasser: Priezjev, N V, Pelcovits, R A
Format: Artikel
Sprache:eng
Schlagworte:
ALGORITHMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
FREE ENERGY
MODIFICATIONS
SLOWING-DOWN
SPIN
THERMODYNAMICS
TRANSITION TEMPERATURE
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 062702
container_issue 6 Pt 1
container_start_page 062702
container_title Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
container_volume 63
creator Priezjev, N V
Pelcovits, R A
description We report the results of simulations of the three-dimensional Lebwohl-Lasher model of the nematic-isotropic transition using a single cluster Monte Carlo algorithm. The algorithm, first introduced by Kunz and Zumbach to study two-dimensional nematics, is a modification of the Wolff algorithm for spin systems, and greatly reduces critical slowing down. We calculate the free energy in the neighborhood of the transition for systems up to linear size 70. We find a double well structure with a barrier that grows with increasing system size. We thus obtain an upper estimate of the value of the transition temperature in the thermodynamic limit.
doi_str_mv 10.1103/physreve.63.062702
format Article
fullrecord <record><control><sourceid>proquest_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_40203296</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>70941544</sourcerecordid><originalsourceid>FETCH-LOGICAL-c393t-c8354e990be03666a1a2dd6870ebf93c0bf056899af6e5b9377c730851d8ed603</originalsourceid><addsrcrecordid>eNpFkE1LxDAQhoMofqz-AQ9SELx1nTRN2hylrB-gKKLnkKZTNtI2a5IK---N7IKnGWaeGXgfQi4pLCkFdrtZb4PHH1wKtgRRVFAckFMKkuesqqvD1HMmU8_5CTkL4QuAFawuj8kJpSXlaXtKmmaYQ0SfvbgpYtZoP7gs2HEedLRuCpnrs7jGbMIxDUxug4vebazJotdTsH_QOTnq9RDwYl8X5PN-9dE85s-vD0_N3XNumGQxNzXjJUoJLQITQmiqi64TdQXY9pIZaHvgopZS9wJ5K1lVmYpBzWlXYyeALcj17q8L0apgbESzNm6a0ERVQpHiSZGomx218e57xhDVaIPBYdATujmoCmQKX5YJLHag8S4kkb3aeDtqv1UU1J9g9ZYEv-PPSgmmdoLT0dX--9yO2P2f7I2yX3kReBw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>70941544</pqid></control><display><type>article</type><title>Cluster Monte Carlo simulations of the nematic-isotropic transition</title><source>American Physical Society Journals</source><creator>Priezjev, N V ; Pelcovits, R A</creator><creatorcontrib>Priezjev, N V ; Pelcovits, R A</creatorcontrib><description>We report the results of simulations of the three-dimensional Lebwohl-Lasher model of the nematic-isotropic transition using a single cluster Monte Carlo algorithm. The algorithm, first introduced by Kunz and Zumbach to study two-dimensional nematics, is a modification of the Wolff algorithm for spin systems, and greatly reduces critical slowing down. We calculate the free energy in the neighborhood of the transition for systems up to linear size 70. We find a double well structure with a barrier that grows with increasing system size. We thus obtain an upper estimate of the value of the transition temperature in the thermodynamic limit.</description><identifier>ISSN: 1539-3755</identifier><identifier>ISSN: 1063-651X</identifier><identifier>EISSN: 1095-3787</identifier><identifier>DOI: 10.1103/physreve.63.062702</identifier><identifier>PMID: 11415153</identifier><language>eng</language><publisher>United States: The American Physical Society</publisher><subject>ALGORITHMS ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; FREE ENERGY ; MODIFICATIONS ; SLOWING-DOWN ; SPIN ; THERMODYNAMICS ; TRANSITION TEMPERATURE</subject><ispartof>Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2001-06, Vol.63 (6 Pt 1), p.062702-062702, Article 062702</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c393t-c8354e990be03666a1a2dd6870ebf93c0bf056899af6e5b9377c730851d8ed603</citedby><cites>FETCH-LOGICAL-c393t-c8354e990be03666a1a2dd6870ebf93c0bf056899af6e5b9377c730851d8ed603</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,2876,2877,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/11415153$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/40203296$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Priezjev, N V</creatorcontrib><creatorcontrib>Pelcovits, R A</creatorcontrib><title>Cluster Monte Carlo simulations of the nematic-isotropic transition</title><title>Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</title><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><description>We report the results of simulations of the three-dimensional Lebwohl-Lasher model of the nematic-isotropic transition using a single cluster Monte Carlo algorithm. The algorithm, first introduced by Kunz and Zumbach to study two-dimensional nematics, is a modification of the Wolff algorithm for spin systems, and greatly reduces critical slowing down. We calculate the free energy in the neighborhood of the transition for systems up to linear size 70. We find a double well structure with a barrier that grows with increasing system size. We thus obtain an upper estimate of the value of the transition temperature in the thermodynamic limit.</description><subject>ALGORITHMS</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>FREE ENERGY</subject><subject>MODIFICATIONS</subject><subject>SLOWING-DOWN</subject><subject>SPIN</subject><subject>THERMODYNAMICS</subject><subject>TRANSITION TEMPERATURE</subject><issn>1539-3755</issn><issn>1063-651X</issn><issn>1095-3787</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNpFkE1LxDAQhoMofqz-AQ9SELx1nTRN2hylrB-gKKLnkKZTNtI2a5IK---N7IKnGWaeGXgfQi4pLCkFdrtZb4PHH1wKtgRRVFAckFMKkuesqqvD1HMmU8_5CTkL4QuAFawuj8kJpSXlaXtKmmaYQ0SfvbgpYtZoP7gs2HEedLRuCpnrs7jGbMIxDUxug4vebazJotdTsH_QOTnq9RDwYl8X5PN-9dE85s-vD0_N3XNumGQxNzXjJUoJLQITQmiqi64TdQXY9pIZaHvgopZS9wJ5K1lVmYpBzWlXYyeALcj17q8L0apgbESzNm6a0ERVQpHiSZGomx218e57xhDVaIPBYdATujmoCmQKX5YJLHag8S4kkb3aeDtqv1UU1J9g9ZYEv-PPSgmmdoLT0dX--9yO2P2f7I2yX3kReBw</recordid><startdate>20010601</startdate><enddate>20010601</enddate><creator>Priezjev, N V</creator><creator>Pelcovits, R A</creator><general>The American Physical Society</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>20010601</creationdate><title>Cluster Monte Carlo simulations of the nematic-isotropic transition</title><author>Priezjev, N V ; Pelcovits, R A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c393t-c8354e990be03666a1a2dd6870ebf93c0bf056899af6e5b9377c730851d8ed603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>ALGORITHMS</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>FREE ENERGY</topic><topic>MODIFICATIONS</topic><topic>SLOWING-DOWN</topic><topic>SPIN</topic><topic>THERMODYNAMICS</topic><topic>TRANSITION TEMPERATURE</topic><toplevel>online_resources</toplevel><creatorcontrib>Priezjev, N V</creatorcontrib><creatorcontrib>Pelcovits, R A</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Priezjev, N V</au><au>Pelcovits, R A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cluster Monte Carlo simulations of the nematic-isotropic transition</atitle><jtitle>Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</jtitle><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><date>2001-06-01</date><risdate>2001</risdate><volume>63</volume><issue>6 Pt 1</issue><spage>062702</spage><epage>062702</epage><pages>062702-062702</pages><artnum>062702</artnum><issn>1539-3755</issn><issn>1063-651X</issn><eissn>1095-3787</eissn><abstract>We report the results of simulations of the three-dimensional Lebwohl-Lasher model of the nematic-isotropic transition using a single cluster Monte Carlo algorithm. The algorithm, first introduced by Kunz and Zumbach to study two-dimensional nematics, is a modification of the Wolff algorithm for spin systems, and greatly reduces critical slowing down. We calculate the free energy in the neighborhood of the transition for systems up to linear size 70. We find a double well structure with a barrier that grows with increasing system size. We thus obtain an upper estimate of the value of the transition temperature in the thermodynamic limit.</abstract><cop>United States</cop><pub>The American Physical Society</pub><pmid>11415153</pmid><doi>10.1103/physreve.63.062702</doi><tpages>1</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1539-3755
ispartof Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2001-06, Vol.63 (6 Pt 1), p.062702-062702, Article 062702
issn 1539-3755
1063-651X
1095-3787
language eng
recordid cdi_osti_scitechconnect_40203296
source American Physical Society Journals
subjects ALGORITHMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
FREE ENERGY
MODIFICATIONS
SLOWING-DOWN
SPIN
THERMODYNAMICS
TRANSITION TEMPERATURE
title Cluster Monte Carlo simulations of the nematic-isotropic transition
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T06%3A05%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Cluster%20Monte%20Carlo%20simulations%20of%20the%20nematic-isotropic%20transition&rft.jtitle=Physical%20review.%20E,%20Statistical%20physics,%20plasmas,%20fluids,%20and%20related%20interdisciplinary%20topics&rft.au=Priezjev,%20N%20V&rft.date=2001-06-01&rft.volume=63&rft.issue=6%20Pt%201&rft.spage=062702&rft.epage=062702&rft.pages=062702-062702&rft.artnum=062702&rft.issn=1539-3755&rft.eissn=1095-3787&rft_id=info:doi/10.1103/physreve.63.062702&rft_dat=%3Cproquest_osti_%3E70941544%3C/proquest_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=70941544&rft_id=info:pmid/11415153&rfr_iscdi=true