Diffusion of chains in a periodic potential
We studied the diffusion of 1D rigid chains in a square wave potential of period T. We considered chains of type A (composed of N particles A) and chains of type A-B (composed of N/2 particles A and N/2 particles B). The square wave potential represents domains, a lamellar structure observed for blo...
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ftconicet:oai:ri.conicet.gov.ar:11336/63329 2023-10-09T21:56:14+02:00 Diffusion of chains in a periodic potential Terranova, Guillermo Roberto Martin, Hector Omar Aldao, Celso Manuel application/pdf http://hdl.handle.net/11336/63329 eng eng IOP Publishing info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/aa82be/meta info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/aa82be http://hdl.handle.net/11336/63329 Terranova, Guillermo Roberto; Martin, Hector Omar; Aldao, Celso Manuel; Diffusion of chains in a periodic potential; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2017; 9; 9-2017; 1-13 1742-5468 CONICET Digital CONICET info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ DIFUSIÓN COPOLIMEROS https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion ftconicet https://doi.org/10.1088/1742-5468/aa82be 2023-09-24T18:32:40Z We studied the diffusion of 1D rigid chains in a square wave potential of period T. We considered chains of type A (composed of N particles A) and chains of type A-B (composed of N/2 particles A and N/2 particles B). The square wave potential represents domains, a lamellar structure observed for block copolymers, in which the repulsive δ energy between each A particle (B particle) of the chain and B particles (A particles) of the medium where the chains diffuse. From Monte Carlo simulations and analytical results it is found that the normalized diffusivity D, for N ≪ T, presents a universal behavior as a function of X = Nδ for chains of type A and X = (Nδ - lnT2) for chains of type A-B, with and exponential decay for large values of X. For fixed values of δ and T, D is a periodic function of N with period T and 2T for chains of type A and type A-B, respectively. Fil: Terranova, Guillermo Roberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina Fil: Martin, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina Fil: Aldao, Celso Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones en Ciencia y Tecnología de Materiales. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Instituto de Investigaciones en Ciencia y Tecnología de Materiales; Argentina Article in Journal/Newspaper Terranova CONICET Digital (Consejo Nacional de Investigaciones Científicas y Técnicas) Argentina Hector ENVELOPE(-63.376,-63.376,-64.579,-64.579) Journal of Statistical Mechanics: Theory and Experiment 2017 9 093204 |
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Open Polar |
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CONICET Digital (Consejo Nacional de Investigaciones Científicas y Técnicas) |
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ftconicet |
language |
English |
topic |
DIFUSIÓN COPOLIMEROS https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
spellingShingle |
DIFUSIÓN COPOLIMEROS https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 Terranova, Guillermo Roberto Martin, Hector Omar Aldao, Celso Manuel Diffusion of chains in a periodic potential |
topic_facet |
DIFUSIÓN COPOLIMEROS https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
description |
We studied the diffusion of 1D rigid chains in a square wave potential of period T. We considered chains of type A (composed of N particles A) and chains of type A-B (composed of N/2 particles A and N/2 particles B). The square wave potential represents domains, a lamellar structure observed for block copolymers, in which the repulsive δ energy between each A particle (B particle) of the chain and B particles (A particles) of the medium where the chains diffuse. From Monte Carlo simulations and analytical results it is found that the normalized diffusivity D, for N ≪ T, presents a universal behavior as a function of X = Nδ for chains of type A and X = (Nδ - lnT2) for chains of type A-B, with and exponential decay for large values of X. For fixed values of δ and T, D is a periodic function of N with period T and 2T for chains of type A and type A-B, respectively. Fil: Terranova, Guillermo Roberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina Fil: Martin, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina Fil: Aldao, Celso Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones en Ciencia y Tecnología de Materiales. Universidad Nacional de Mar del Plata. Facultad de Ingeniería. Instituto de Investigaciones en Ciencia y Tecnología de Materiales; Argentina |
format |
Article in Journal/Newspaper |
author |
Terranova, Guillermo Roberto Martin, Hector Omar Aldao, Celso Manuel |
author_facet |
Terranova, Guillermo Roberto Martin, Hector Omar Aldao, Celso Manuel |
author_sort |
Terranova, Guillermo Roberto |
title |
Diffusion of chains in a periodic potential |
title_short |
Diffusion of chains in a periodic potential |
title_full |
Diffusion of chains in a periodic potential |
title_fullStr |
Diffusion of chains in a periodic potential |
title_full_unstemmed |
Diffusion of chains in a periodic potential |
title_sort |
diffusion of chains in a periodic potential |
publisher |
IOP Publishing |
url |
http://hdl.handle.net/11336/63329 |
long_lat |
ENVELOPE(-63.376,-63.376,-64.579,-64.579) |
geographic |
Argentina Hector |
geographic_facet |
Argentina Hector |
genre |
Terranova |
genre_facet |
Terranova |
op_relation |
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/aa82be/meta info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/aa82be http://hdl.handle.net/11336/63329 Terranova, Guillermo Roberto; Martin, Hector Omar; Aldao, Celso Manuel; Diffusion of chains in a periodic potential; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2017; 9; 9-2017; 1-13 1742-5468 CONICET Digital CONICET |
op_rights |
info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
op_doi |
https://doi.org/10.1088/1742-5468/aa82be |
container_title |
Journal of Statistical Mechanics: Theory and Experiment |
container_volume |
2017 |
container_issue |
9 |
container_start_page |
093204 |
_version_ |
1779320835524263936 |