Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/170551 |
Resumo: | In this paper, we propose a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework that describes the transport in random systems by taking into account two different scenarios: particles can work as mobile obstacles, whereas particles of one species move in the opposite direction to the particles of the other species, or particles of a given species work as fixed obstacles remaining in their places during the time evolution. We conduct a detailed study about the statistics concerning the crossing time of particles, as well as the effects of the lateral transitions on the time required to the system reaches a state of complete geographic separation of species. The spatial effects of jamming are also studied by looking into the deformation of the concentration of particles in the two-dimensional corridor. Finally, we observe in our study the formation of patterns of lanes which reach the steady state regardless of the initial conditions used for the evolution. A similar result is also observed in real experiments involving charged colloids motion and simulations of pedestrian dynamics based on Langevin equations, when periodic boundary conditions are considered (particles counterflow in a ring symmetry). The results obtained through Monte Carlo simulations and numerical integrations are in good agreement with each other. However, differently from previous studies, the dynamics considered in this work is not Newton-based, and therefore, even artificial situations of self-propelled objects should be studied in this first-principles modeling. |
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Stock, Eduardo VelascoSilva, Roberto daFernandes, Henrique Almeida2017-11-24T02:25:58Z20171539-3755http://hdl.handle.net/10183/170551001049605In this paper, we propose a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework that describes the transport in random systems by taking into account two different scenarios: particles can work as mobile obstacles, whereas particles of one species move in the opposite direction to the particles of the other species, or particles of a given species work as fixed obstacles remaining in their places during the time evolution. We conduct a detailed study about the statistics concerning the crossing time of particles, as well as the effects of the lateral transitions on the time required to the system reaches a state of complete geographic separation of species. The spatial effects of jamming are also studied by looking into the deformation of the concentration of particles in the two-dimensional corridor. Finally, we observe in our study the formation of patterns of lanes which reach the steady state regardless of the initial conditions used for the evolution. A similar result is also observed in real experiments involving charged colloids motion and simulations of pedestrian dynamics based on Langevin equations, when periodic boundary conditions are considered (particles counterflow in a ring symmetry). The results obtained through Monte Carlo simulations and numerical integrations are in good agreement with each other. However, differently from previous studies, the dynamics considered in this work is not Newton-based, and therefore, even artificial situations of self-propelled objects should be studied in this first-principles modeling.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Melville. Vol. 96, no. 1 (July 2017), 012155, 11 p.Processos estocásticosSistemas dinâmicosProcessos randômicosMétodo de Monte CarloStatistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streamsEstrangeiroinfo: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:UFRGSORIGINAL001049605.pdf001049605.pdfTexto completo (inglês)application/pdf2667000http://www.lume.ufrgs.br/bitstream/10183/170551/1/001049605.pdfa33da062ec5fe11edb110cff76c6235aMD51TEXT001049605.pdf.txt001049605.pdf.txtExtracted Texttext/plain44853http://www.lume.ufrgs.br/bitstream/10183/170551/2/001049605.pdf.txt80f1f93d1c9b4f7aa1bd7c93893226feMD5210183/1705512022-02-22 04:53:20.046457oai:www.lume.ufrgs.br:10183/170551Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2022-02-22T07:53:20Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams |
title |
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams |
spellingShingle |
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams Stock, Eduardo Velasco Processos estocásticos Sistemas dinâmicos Processos randômicos Método de Monte Carlo |
title_short |
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams |
title_full |
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams |
title_fullStr |
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams |
title_full_unstemmed |
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams |
title_sort |
Statistics, distillation, and ordering emergence in a two-dimensional stochastic model of particles in counterflowing streams |
author |
Stock, Eduardo Velasco |
author_facet |
Stock, Eduardo Velasco Silva, Roberto da Fernandes, Henrique Almeida |
author_role |
author |
author2 |
Silva, Roberto da Fernandes, Henrique Almeida |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Stock, Eduardo Velasco Silva, Roberto da Fernandes, Henrique Almeida |
dc.subject.por.fl_str_mv |
Processos estocásticos Sistemas dinâmicos Processos randômicos Método de Monte Carlo |
topic |
Processos estocásticos Sistemas dinâmicos Processos randômicos Método de Monte Carlo |
description |
In this paper, we propose a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework that describes the transport in random systems by taking into account two different scenarios: particles can work as mobile obstacles, whereas particles of one species move in the opposite direction to the particles of the other species, or particles of a given species work as fixed obstacles remaining in their places during the time evolution. We conduct a detailed study about the statistics concerning the crossing time of particles, as well as the effects of the lateral transitions on the time required to the system reaches a state of complete geographic separation of species. The spatial effects of jamming are also studied by looking into the deformation of the concentration of particles in the two-dimensional corridor. Finally, we observe in our study the formation of patterns of lanes which reach the steady state regardless of the initial conditions used for the evolution. A similar result is also observed in real experiments involving charged colloids motion and simulations of pedestrian dynamics based on Langevin equations, when periodic boundary conditions are considered (particles counterflow in a ring symmetry). The results obtained through Monte Carlo simulations and numerical integrations are in good agreement with each other. However, differently from previous studies, the dynamics considered in this work is not Newton-based, and therefore, even artificial situations of self-propelled objects should be studied in this first-principles modeling. |
publishDate |
2017 |
dc.date.accessioned.fl_str_mv |
2017-11-24T02:25:58Z |
dc.date.issued.fl_str_mv |
2017 |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
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publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/170551 |
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1539-3755 |
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001049605 |
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1539-3755 001049605 |
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http://hdl.handle.net/10183/170551 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. E, Statistical, nonlinear, and soft matter physics. Melville. Vol. 96, no. 1 (July 2017), 012155, 11 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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