Nematic and gas-liquid transitions for sticky rods on square and cubic lattices

Using grand-canonical Monte Carlo simulations, we investigate the phase diagram of hard rods of length \(L\) with additional contact (sticky) attractions on square and cubic lattices. The phase diagram shows a competition between gas-liquid and ordering transitions (which are of demixing type on the...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: Quiring, P, Klopotek, M, Oettel, M
Format: Article
Language:English
Subjects:
Computer simulation
Cubic lattice
Demixing
Phase diagrams
Rods
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Quiring, P
Klopotek, M
Oettel, M
description Using grand-canonical Monte Carlo simulations, we investigate the phase diagram of hard rods of length \(L\) with additional contact (sticky) attractions on square and cubic lattices. The phase diagram shows a competition between gas-liquid and ordering transitions (which are of demixing type on the square lattice for \(L \ge 7\) and of nematic type on the cubic lattice for \(L \ge 5\)). On the square lattice, increasing attractions initially lead to a stabilization of the isotropic phase. On the cubic lattice, the nematic transition remains of weak first order upon increasing the attractions. In the vicinity of the gas-liquid transition, the coexistence gap of the nematic transition quickly widens. These features are different from nematic transitions in the continuum.
doi_str_mv 10.48550/arxiv.1905.05501
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2225513111</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2225513111</sourcerecordid><originalsourceid>FETCH-LOGICAL-a521-949921aebe1475de699390f5d32ce5557456dbe69bdf68dada42fcc6c2b079163</originalsourceid><addsrcrecordid>eNotT0tLxDAYDILgsu4P8Bbw3JovrzZHWXzB4l72vnxNUslaG5u0ov_eoHsaZpgHQ8gNsFq2SrE7TN_hqwbDVM0Khwuy4kJA1UrOr8gm5xNjjOuGKyVWZP_qP3AOluLo6BvmagjTEhydE445zCGOmfYx0Vw87z80RZdpHGmeFkz-L2SXrsQHnIvD52ty2eOQ_eaMa3J4fDhsn6vd_ulle7-rUHGojDSGA_rOg2yU89oYYVivnODWK6UaqbTrity5XrcOHUreW6st71hjQIs1uf2v_UxxWnyej6e4pLEsHjkvz0AAgPgFxk1Qcg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2225513111</pqid></control><display><type>article</type><title>Nematic and gas-liquid transitions for sticky rods on square and cubic lattices</title><source>Publicly Available Content Database</source><creator>Quiring, P ; Klopotek, M ; Oettel, M</creator><creatorcontrib>Quiring, P ; Klopotek, M ; Oettel, M</creatorcontrib><description>Using grand-canonical Monte Carlo simulations, we investigate the phase diagram of hard rods of length \(L\) with additional contact (sticky) attractions on square and cubic lattices. The phase diagram shows a competition between gas-liquid and ordering transitions (which are of demixing type on the square lattice for \(L \ge 7\) and of nematic type on the cubic lattice for \(L \ge 5\)). On the square lattice, increasing attractions initially lead to a stabilization of the isotropic phase. On the cubic lattice, the nematic transition remains of weak first order upon increasing the attractions. In the vicinity of the gas-liquid transition, the coexistence gap of the nematic transition quickly widens. These features are different from nematic transitions in the continuum.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1905.05501</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Computer simulation ; Cubic lattice ; Demixing ; Phase diagrams ; Rods</subject><ispartof>arXiv.org, 2019-07</ispartof><rights>2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2225513111?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>776,780,25731,27902,36989,44566</link.rule.ids></links><search><creatorcontrib>Quiring, P</creatorcontrib><creatorcontrib>Klopotek, M</creatorcontrib><creatorcontrib>Oettel, M</creatorcontrib><title>Nematic and gas-liquid transitions for sticky rods on square and cubic lattices</title><title>arXiv.org</title><description>Using grand-canonical Monte Carlo simulations, we investigate the phase diagram of hard rods of length \(L\) with additional contact (sticky) attractions on square and cubic lattices. The phase diagram shows a competition between gas-liquid and ordering transitions (which are of demixing type on the square lattice for \(L \ge 7\) and of nematic type on the cubic lattice for \(L \ge 5\)). On the square lattice, increasing attractions initially lead to a stabilization of the isotropic phase. On the cubic lattice, the nematic transition remains of weak first order upon increasing the attractions. In the vicinity of the gas-liquid transition, the coexistence gap of the nematic transition quickly widens. These features are different from nematic transitions in the continuum.</description><subject>Computer simulation</subject><subject>Cubic lattice</subject><subject>Demixing</subject><subject>Phase diagrams</subject><subject>Rods</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNotT0tLxDAYDILgsu4P8Bbw3JovrzZHWXzB4l72vnxNUslaG5u0ov_eoHsaZpgHQ8gNsFq2SrE7TN_hqwbDVM0Khwuy4kJA1UrOr8gm5xNjjOuGKyVWZP_qP3AOluLo6BvmagjTEhydE445zCGOmfYx0Vw87z80RZdpHGmeFkz-L2SXrsQHnIvD52ty2eOQ_eaMa3J4fDhsn6vd_ulle7-rUHGojDSGA_rOg2yU89oYYVivnODWK6UaqbTrity5XrcOHUreW6st71hjQIs1uf2v_UxxWnyej6e4pLEsHjkvz0AAgPgFxk1Qcg</recordid><startdate>20190712</startdate><enddate>20190712</enddate><creator>Quiring, P</creator><creator>Klopotek, M</creator><creator>Oettel, M</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20190712</creationdate><title>Nematic and gas-liquid transitions for sticky rods on square and cubic lattices</title><author>Quiring, P ; Klopotek, M ; Oettel, M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a521-949921aebe1475de699390f5d32ce5557456dbe69bdf68dada42fcc6c2b079163</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Computer simulation</topic><topic>Cubic lattice</topic><topic>Demixing</topic><topic>Phase diagrams</topic><topic>Rods</topic><toplevel>online_resources</toplevel><creatorcontrib>Quiring, P</creatorcontrib><creatorcontrib>Klopotek, M</creatorcontrib><creatorcontrib>Oettel, M</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Quiring, P</au><au>Klopotek, M</au><au>Oettel, M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nematic and gas-liquid transitions for sticky rods on square and cubic lattices</atitle><jtitle>arXiv.org</jtitle><date>2019-07-12</date><risdate>2019</risdate><eissn>2331-8422</eissn><abstract>Using grand-canonical Monte Carlo simulations, we investigate the phase diagram of hard rods of length \(L\) with additional contact (sticky) attractions on square and cubic lattices. The phase diagram shows a competition between gas-liquid and ordering transitions (which are of demixing type on the square lattice for \(L \ge 7\) and of nematic type on the cubic lattice for \(L \ge 5\)). On the square lattice, increasing attractions initially lead to a stabilization of the isotropic phase. On the cubic lattice, the nematic transition remains of weak first order upon increasing the attractions. In the vicinity of the gas-liquid transition, the coexistence gap of the nematic transition quickly widens. These features are different from nematic transitions in the continuum.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1905.05501</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2019-07
issn 2331-8422
language eng
recordid cdi_proquest_journals_2225513111
source Publicly Available Content Database
subjects Computer simulation
Cubic lattice
Demixing
Phase diagrams
Rods
title Nematic and gas-liquid transitions for sticky rods on square and cubic lattices
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-04T16%3A40%3A24IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Nematic%20and%20gas-liquid%20transitions%20for%20sticky%20rods%20on%20square%20and%20cubic%20lattices&rft.jtitle=arXiv.org&rft.au=Quiring,%20P&rft.date=2019-07-12&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1905.05501&rft_dat=%3Cproquest%3E2225513111%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-a521-949921aebe1475de699390f5d32ce5557456dbe69bdf68dada42fcc6c2b079163%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2225513111&rft_id=info:pmid/&rfr_iscdi=true