Stochastic dynamics of a Brownian motor based on morphological changes

We introduce a simplified model for a microscopic system that performs directed Brownian motion due to coordinated morphological adap- tations. This system consists of two spherical particles with adaptable size, that interact through elastic and repulsive forces. We propose an algorithm to control...

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Detalles Bibliográficos
Autores: F. Ambía, H. Híjar
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:México
Institución:Universidad La Salle
Repositorio:Redalyc-ULSA
OAI Identifier:oai:redalyc.org:57050930003
Acceso en línea:https://www.redalyc.org/articulo.oa?id=57050930003
Access Level:acceso abierto
Palabra clave:Física, Astronomía y Matemáticas
Brownian motor
Langevin dynamics
rectified Brownian motion
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spelling Stochastic dynamics of a Brownian motor based on morphological changesF. AmbíaH. HíjarFísica, Astronomía y MatemáticasBrownian motorLangevin dynamicsrectified Brownian motionWe introduce a simplified model for a microscopic system that performs directed Brownian motion due to coordinated morphological adap- tations. This system consists of two spherical particles with adaptable size, that interact through elastic and repulsive forces. We propose an algorithm to control the time dependence of the system’s shape that turns it into a Brownian motor, whose stochastic dynamics is analyzed by means of a Langevin model. We restrict ourselves to the simplified case of motors with small shape asymmetries and slow morphological changes, and calculate the average speed at which they should move. We compare the theoretical predictions with the results from Brownian Dynamics simulations and find that they are in very good quantitative agreement. We carry out a comparison of the proposed rectifying algorithm with a classical one based on a ratchet potential and show that in some cases morphological adaptations could produce larger velocities. We thus propose the locomotion mechanism based on controlled structural changes as a novel alternative method from which Brownian motors could operate autonomously, i.e ., requiring neither a substrate nor a ratchet field.Sociedad Mexicana de Física A.C.2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdf0035-001Xhttps://www.redalyc.org/articulo.oa?id=57050930003Revista Mexicana de Física (México) Num.4 Vol.63reponame:Redalyc-ULSAinstname:Universidad La Salleinstacron:ULSAenhttp://www.redalyc.org/revista.oa?id=570Revista Mexicana de Físicainfo:eu-repo/semantics/openAccessoai:redalyc.org:570509300032024-08-23T21:45:36Z
dc.title.none.fl_str_mv Stochastic dynamics of a Brownian motor based on morphological changes
title Stochastic dynamics of a Brownian motor based on morphological changes
spellingShingle Stochastic dynamics of a Brownian motor based on morphological changes
F. Ambía
Física, Astronomía y Matemáticas
Brownian motor
Langevin dynamics
rectified Brownian motion
title_short Stochastic dynamics of a Brownian motor based on morphological changes
title_full Stochastic dynamics of a Brownian motor based on morphological changes
title_fullStr Stochastic dynamics of a Brownian motor based on morphological changes
title_full_unstemmed Stochastic dynamics of a Brownian motor based on morphological changes
title_sort Stochastic dynamics of a Brownian motor based on morphological changes
dc.creator.none.fl_str_mv F. Ambía
H. Híjar
author F. Ambía
author_facet F. Ambía
H. Híjar
author_role author
author2 H. Híjar
author2_role author
dc.subject.none.fl_str_mv Física, Astronomía y Matemáticas
Brownian motor
Langevin dynamics
rectified Brownian motion
topic Física, Astronomía y Matemáticas
Brownian motor
Langevin dynamics
rectified Brownian motion
description We introduce a simplified model for a microscopic system that performs directed Brownian motion due to coordinated morphological adap- tations. This system consists of two spherical particles with adaptable size, that interact through elastic and repulsive forces. We propose an algorithm to control the time dependence of the system’s shape that turns it into a Brownian motor, whose stochastic dynamics is analyzed by means of a Langevin model. We restrict ourselves to the simplified case of motors with small shape asymmetries and slow morphological changes, and calculate the average speed at which they should move. We compare the theoretical predictions with the results from Brownian Dynamics simulations and find that they are in very good quantitative agreement. We carry out a comparison of the proposed rectifying algorithm with a classical one based on a ratchet potential and show that in some cases morphological adaptations could produce larger velocities. We thus propose the locomotion mechanism based on controlled structural changes as a novel alternative method from which Brownian motors could operate autonomously, i.e ., requiring neither a substrate nor a ratchet field.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0035-001X
https://www.redalyc.org/articulo.oa?id=57050930003
identifier_str_mv 0035-001X
url https://www.redalyc.org/articulo.oa?id=57050930003
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv http://www.redalyc.org/revista.oa?id=570
dc.rights.none.fl_str_mv Revista Mexicana de Física
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Revista Mexicana de Física
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Sociedad Mexicana de Física A.C.
publisher.none.fl_str_mv Sociedad Mexicana de Física A.C.
dc.source.none.fl_str_mv Revista Mexicana de Física (México) Num.4 Vol.63
reponame:Redalyc-ULSA
instname:Universidad La Salle
instacron:ULSA
instname_str Universidad La Salle
instacron_str ULSA
institution ULSA
reponame_str Redalyc-ULSA
collection Redalyc-ULSA
repository.name.fl_str_mv
repository.mail.fl_str_mv
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