Kinetic model for a polmer in one dimension

Detalhes bibliográficos
Autor(a) principal: Martins, Jose Arthur
Data de Publicação: 1995
Outros Autores: Stilck, Jurgen F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/101300
Resumo: We consider a model for a directed polymer on a one-dimensional lattice of width 2, with attractive interactions between monomers that occupy first-neighbor sites on the lattice and are not consecutive along the chain. We show that this model is equivalent to the one-dimensional Ising model with first- and second-neighbor interactions. We study the kinetic behavior of the model in the region of the phase diagram where the ground state is not frustrated, using a Glauber ansatz for the time evolution of the configurations. In order to decouple the dynamical equations, we use the pair approximation. In this approximation, we show that the dynamical exponent of the model is a function of the ratio between second- and first-neighbor interaction strengths.
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spelling Martins, Jose ArthurStilck, Jurgen F.2014-08-19T02:10:07Z19951063-651Xhttp://hdl.handle.net/10183/101300000036993We consider a model for a directed polymer on a one-dimensional lattice of width 2, with attractive interactions between monomers that occupy first-neighbor sites on the lattice and are not consecutive along the chain. We show that this model is equivalent to the one-dimensional Ising model with first- and second-neighbor interactions. We study the kinetic behavior of the model in the region of the phase diagram where the ground state is not frustrated, using a Glauber ansatz for the time evolution of the configurations. In order to decouple the dynamical equations, we use the pair approximation. In this approximation, we show that the dynamical exponent of the model is a function of the ratio between second- and first-neighbor interaction strengths.application/pdfengPhysical Review. E, Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics. New York. Vol. 52, no. 6 (Dec. 1995), p. 6508-6515Física da matéria condensadaModelo de isingPolímeros : PolimerizacaoTransformações de faseMecânica estatísticaKinetic model for a polmer in one dimensionEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000036993.pdf000036993.pdfTexto completo (inglês)application/pdf312098http://www.lume.ufrgs.br/bitstream/10183/101300/1/000036993.pdf00d372db016a001341625310c58bd3a9MD51TEXT000036993.pdf.txt000036993.pdf.txtExtracted Texttext/plain29023http://www.lume.ufrgs.br/bitstream/10183/101300/2/000036993.pdf.txt9665c37afc94e8f425fc09cf8e7f773fMD52THUMBNAIL000036993.pdf.jpg000036993.pdf.jpgGenerated Thumbnailimage/jpeg1976http://www.lume.ufrgs.br/bitstream/10183/101300/3/000036993.pdf.jpg96929350ed96a1e2502429ab2489c833MD5310183/1013002018-10-22 09:19:46.351oai:www.lume.ufrgs.br:10183/101300Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-22T12:19:46Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Kinetic model for a polmer in one dimension
title Kinetic model for a polmer in one dimension
spellingShingle Kinetic model for a polmer in one dimension
Martins, Jose Arthur
Física da matéria condensada
Modelo de ising
Polímeros : Polimerizacao
Transformações de fase
Mecânica estatística
title_short Kinetic model for a polmer in one dimension
title_full Kinetic model for a polmer in one dimension
title_fullStr Kinetic model for a polmer in one dimension
title_full_unstemmed Kinetic model for a polmer in one dimension
title_sort Kinetic model for a polmer in one dimension
author Martins, Jose Arthur
author_facet Martins, Jose Arthur
Stilck, Jurgen F.
author_role author
author2 Stilck, Jurgen F.
author2_role author
dc.contributor.author.fl_str_mv Martins, Jose Arthur
Stilck, Jurgen F.
dc.subject.por.fl_str_mv Física da matéria condensada
Modelo de ising
Polímeros : Polimerizacao
Transformações de fase
Mecânica estatística
topic Física da matéria condensada
Modelo de ising
Polímeros : Polimerizacao
Transformações de fase
Mecânica estatística
description We consider a model for a directed polymer on a one-dimensional lattice of width 2, with attractive interactions between monomers that occupy first-neighbor sites on the lattice and are not consecutive along the chain. We show that this model is equivalent to the one-dimensional Ising model with first- and second-neighbor interactions. We study the kinetic behavior of the model in the region of the phase diagram where the ground state is not frustrated, using a Glauber ansatz for the time evolution of the configurations. In order to decouple the dynamical equations, we use the pair approximation. In this approximation, we show that the dynamical exponent of the model is a function of the ratio between second- and first-neighbor interaction strengths.
publishDate 1995
dc.date.issued.fl_str_mv 1995
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dc.identifier.issn.pt_BR.fl_str_mv 1063-651X
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical Review. E, Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics. New York. Vol. 52, no. 6 (Dec. 1995), p. 6508-6515
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