A particle-based Ising model

A particle-based Ising model

We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other throu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2020-12
Hauptverfasser: Novinger, Quentin, Suma, Antonio, Sigg, Daniel, Gonnella, Giuseppe, Carnevale, Vincenzo
Format: Artikel
Sprache:eng
Schlagworte:
Computer simulation
Ising model
Lennard-Jones potential
Physics - Statistical Mechanics
Rate constants
Reaction kinetics
Two dimensional models
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Novinger, Quentin
Suma, Antonio
Sigg, Daniel
Gonnella, Giuseppe
Carnevale, Vincenzo
description We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other through a Lennard-Jones potential truncated at the nearest neighbor distance. We show that the system's equilibrium properties are accurately described by a two-dimensional Ising model with an appropriate coupling constant. Moreover, we characterize the coarsening kinetics by calculating the cluster size as a function of time and compare the results with Monte Carlo simulations based on Glauber or reactive dynamics rate constants.
doi_str_mv 10.48550/arxiv.2008.02329
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2008_02329</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2431124832</sourcerecordid><originalsourceid>FETCH-LOGICAL-a522-41c56aeb4a59e72f65e5a38794847b3186bd4c38184dea627044f609747723083</originalsourceid><addsrcrecordid>eNotj0trwkAURodCQbH-gILQQNdJ79x755GlSB-C0I37YZJMSiSadEZL--9rtatvc_g4R4h7CQVbpeDJx-_uq0AAWwASljdiikQyt4w4EfOUdgCA2qBSNBWLZTb6eOzqPuSVT6HJ1qk7fGT7oQn9nbhtfZ_C_H9nYvvyvF295Zv31_Vqucm9QsxZ1kr7ULFXZTDYahWUJ2tKtmwqklZXDddkpeUmeI0GmFsNpWFjkMDSTDxcby_qbozd3scf95fgLgln4vFKjHH4PIV0dLvhFA9nJ4dMUiJbQvoFyMJFYQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2431124832</pqid></control><display><type>article</type><title>A particle-based Ising model</title><source>Freely Accessible Journals</source><source>arXiv.org</source><creator>Novinger, Quentin ; Suma, Antonio ; Sigg, Daniel ; Gonnella, Giuseppe ; Carnevale, Vincenzo</creator><creatorcontrib>Novinger, Quentin ; Suma, Antonio ; Sigg, Daniel ; Gonnella, Giuseppe ; Carnevale, Vincenzo</creatorcontrib><description>We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other through a Lennard-Jones potential truncated at the nearest neighbor distance. We show that the system's equilibrium properties are accurately described by a two-dimensional Ising model with an appropriate coupling constant. Moreover, we characterize the coarsening kinetics by calculating the cluster size as a function of time and compare the results with Monte Carlo simulations based on Glauber or reactive dynamics rate constants.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2008.02329</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Computer simulation ; Ising model ; Lennard-Jones potential ; Physics - Statistical Mechanics ; Rate constants ; Reaction kinetics ; Two dimensional models</subject><ispartof>arXiv.org, 2020-12</ispartof><rights>2020. 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><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.1103/PhysRevE.103.012125$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2008.02329$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Novinger, Quentin</creatorcontrib><creatorcontrib>Suma, Antonio</creatorcontrib><creatorcontrib>Sigg, Daniel</creatorcontrib><creatorcontrib>Gonnella, Giuseppe</creatorcontrib><creatorcontrib>Carnevale, Vincenzo</creatorcontrib><title>A particle-based Ising model</title><title>arXiv.org</title><description>We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other through a Lennard-Jones potential truncated at the nearest neighbor distance. We show that the system's equilibrium properties are accurately described by a two-dimensional Ising model with an appropriate coupling constant. Moreover, we characterize the coarsening kinetics by calculating the cluster size as a function of time and compare the results with Monte Carlo simulations based on Glauber or reactive dynamics rate constants.</description><subject>Computer simulation</subject><subject>Ising model</subject><subject>Lennard-Jones potential</subject><subject>Physics - Statistical Mechanics</subject><subject>Rate constants</subject><subject>Reaction kinetics</subject><subject>Two dimensional models</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj0trwkAURodCQbH-gILQQNdJ79x755GlSB-C0I37YZJMSiSadEZL--9rtatvc_g4R4h7CQVbpeDJx-_uq0AAWwASljdiikQyt4w4EfOUdgCA2qBSNBWLZTb6eOzqPuSVT6HJ1qk7fGT7oQn9nbhtfZ_C_H9nYvvyvF295Zv31_Vqucm9QsxZ1kr7ULFXZTDYahWUJ2tKtmwqklZXDddkpeUmeI0GmFsNpWFjkMDSTDxcby_qbozd3scf95fgLgln4vFKjHH4PIV0dLvhFA9nJ4dMUiJbQvoFyMJFYQ</recordid><startdate>20201227</startdate><enddate>20201227</enddate><creator>Novinger, Quentin</creator><creator>Suma, Antonio</creator><creator>Sigg, Daniel</creator><creator>Gonnella, Giuseppe</creator><creator>Carnevale, Vincenzo</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><scope>GOX</scope></search><sort><creationdate>20201227</creationdate><title>A particle-based Ising model</title><author>Novinger, Quentin ; Suma, Antonio ; Sigg, Daniel ; Gonnella, Giuseppe ; Carnevale, Vincenzo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a522-41c56aeb4a59e72f65e5a38794847b3186bd4c38184dea627044f609747723083</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Computer simulation</topic><topic>Ising model</topic><topic>Lennard-Jones potential</topic><topic>Physics - Statistical Mechanics</topic><topic>Rate constants</topic><topic>Reaction kinetics</topic><topic>Two dimensional models</topic><toplevel>online_resources</toplevel><creatorcontrib>Novinger, Quentin</creatorcontrib><creatorcontrib>Suma, Antonio</creatorcontrib><creatorcontrib>Sigg, Daniel</creatorcontrib><creatorcontrib>Gonnella, Giuseppe</creatorcontrib><creatorcontrib>Carnevale, Vincenzo</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</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><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Novinger, Quentin</au><au>Suma, Antonio</au><au>Sigg, Daniel</au><au>Gonnella, Giuseppe</au><au>Carnevale, Vincenzo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A particle-based Ising model</atitle><jtitle>arXiv.org</jtitle><date>2020-12-27</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other through a Lennard-Jones potential truncated at the nearest neighbor distance. We show that the system's equilibrium properties are accurately described by a two-dimensional Ising model with an appropriate coupling constant. Moreover, we characterize the coarsening kinetics by calculating the cluster size as a function of time and compare the results with Monte Carlo simulations based on Glauber or reactive dynamics rate constants.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2008.02329</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2020-12
issn 2331-8422
language eng
recordid cdi_arxiv_primary_2008_02329
source Freely Accessible Journals; arXiv.org
subjects Computer simulation
Ising model
Lennard-Jones potential
Physics - Statistical Mechanics
Rate constants
Reaction kinetics
Two dimensional models
title A particle-based Ising model
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T16%3A00%3A02IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20particle-based%20Ising%20model&rft.jtitle=arXiv.org&rft.au=Novinger,%20Quentin&rft.date=2020-12-27&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2008.02329&rft_dat=%3Cproquest_arxiv%3E2431124832%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2431124832&rft_id=info:pmid/&rfr_iscdi=true