Low-temperature Glauber dynamics under weak competing interactions

We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions J<sub>1</sub>, J<sub>2</sub>.  For 0 < -J<sub>2</sub> /|J<sub>1</sub> | < 1 it is known that at T =...

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Autor principal: Grynberg, Marcelo Daniel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Ciencias Astronómicas
Frustration
Metastability
Ballitic exponents
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99415
https://ri.conicet.gov.ar/11336/47908
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.032129
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-99415
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
Frustration
Metastability
Ballitic exponents
spellingShingle Ciencias Astronómicas
Frustration
Metastability
Ballitic exponents
Grynberg, Marcelo Daniel
Low-temperature Glauber dynamics under weak competing interactions
topic_facet Ciencias Astronómicas
Frustration
Metastability
Ballitic exponents
description We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions J<sub>1</sub>, J<sub>2</sub>.  For 0 < -J<sub>2</sub> /|J<sub>1</sub> | < 1 it is known that at T = 0  the dynamics is both metastable and noncoarsening, while being always ergodic and coarsening in the limit of T → 0<sup>+</sup> . Based on finite-size scaling analyses of relaxation times, here we argue that in that latter situation the asymptotic kinetics of small or weakly frustrated -J<sub>2</sub> /| J<sub>1</sub>| ratios is characterized by an almost ballistic dynamic exponent z ≃ 1.03(2) and arbitrarily slow velocities of growth. By contrast, for noncompeting interactions the coarsening length scales are estimated to be almost diffusive.
format Articulo
Articulo
author Grynberg, Marcelo Daniel
author_facet Grynberg, Marcelo Daniel
author_sort Grynberg, Marcelo Daniel
title Low-temperature Glauber dynamics under weak competing interactions
title_short Low-temperature Glauber dynamics under weak competing interactions
title_full Low-temperature Glauber dynamics under weak competing interactions
title_fullStr Low-temperature Glauber dynamics under weak competing interactions
title_full_unstemmed Low-temperature Glauber dynamics under weak competing interactions
title_sort low-temperature glauber dynamics under weak competing interactions
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/99415
https://ri.conicet.gov.ar/11336/47908
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.032129
work_keys_str_mv AT grynbergmarcelodaniel lowtemperatureglauberdynamicsunderweakcompetinginteractions
bdutipo_str Repositorios
_version_ 1764820493292011521

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