Critical behavior of an Ising system on the Sierpinski carpet: a short-time dynamics study

The short-time dynamic evolution of an Ising model embedded in an infinitely ramified fractal structure with noninteger Hausdorff dimension was studied using Monte Carlo simulations. Completely ordered and disordered spin configurations were used as initial states for the dynamic simulations. In bot...

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Detalles Bibliográficos
Autores principales:	Bab, Marisa Alejandra, Fabricius, Gabriel, Albano, Ezequiel Vicente
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2005
Materias:	Física Sierpinski carpet Mathematical analysis Type (model theory) Phase transition Critical exponent Hausdorff dimension Exponent Mathematics Fractal Ising model
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/126071
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-126071
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Sierpinski carpet Mathematical analysis Type (model theory) Phase transition Critical exponent Hausdorff dimension Exponent Mathematics Fractal Ising model
spellingShingle	Física Sierpinski carpet Mathematical analysis Type (model theory) Phase transition Critical exponent Hausdorff dimension Exponent Mathematics Fractal Ising model Bab, Marisa Alejandra Fabricius, Gabriel Albano, Ezequiel Vicente Critical behavior of an Ising system on the Sierpinski carpet: a short-time dynamics study
topic_facet	Física Sierpinski carpet Mathematical analysis Type (model theory) Phase transition Critical exponent Hausdorff dimension Exponent Mathematics Fractal Ising model
description	The short-time dynamic evolution of an Ising model embedded in an infinitely ramified fractal structure with noninteger Hausdorff dimension was studied using Monte Carlo simulations. Completely ordered and disordered spin configurations were used as initial states for the dynamic simulations. In both cases, the evolution of the physical observables follows a power-law behavior. Based on this fact, the complete set of critical exponents characteristic of a second-order phase transition was evaluated. Also, the dynamic exponent θ of the critical initial increase in magnetization, as well as the critical temperature, were computed. The exponent θ exhibits a weak dependence on the initial (small) magnetization. On the other hand, the dynamic exponent z shows a systematic decrease when the segmentation step is increased, i.e., when the system size becomes larger. Our results suggest that the effective noninteger dimension for the second-order phase transition is noticeably smaller than the Hausdorff dimension. Even when the behavior of the magnetization (in the case of the ordered initial state) and the autocorrelation (in the case of the disordered initial state) with time are very well fitted by power laws, the precision of our simulations allows us to detect the presence of a soft oscillation of the same type in both magnitudes that we attribute to the topological details of the generating cell at any scale.
format	Articulo Articulo
author	Bab, Marisa Alejandra Fabricius, Gabriel Albano, Ezequiel Vicente
author_facet	Bab, Marisa Alejandra Fabricius, Gabriel Albano, Ezequiel Vicente
author_sort	Bab, Marisa Alejandra
title	Critical behavior of an Ising system on the Sierpinski carpet: a short-time dynamics study
title_short	Critical behavior of an Ising system on the Sierpinski carpet: a short-time dynamics study
title_full	Critical behavior of an Ising system on the Sierpinski carpet: a short-time dynamics study
title_fullStr	Critical behavior of an Ising system on the Sierpinski carpet: a short-time dynamics study
title_full_unstemmed	Critical behavior of an Ising system on the Sierpinski carpet: a short-time dynamics study
title_sort	critical behavior of an ising system on the sierpinski carpet: a short-time dynamics study
publishDate	2005
url	http://sedici.unlp.edu.ar/handle/10915/126071
work_keys_str_mv	AT babmarisaalejandra criticalbehaviorofanisingsystemonthesierpinskicarpetashorttimedynamicsstudy AT fabriciusgabriel criticalbehaviorofanisingsystemonthesierpinskicarpetashorttimedynamicsstudy AT albanoezequielvicente criticalbehaviorofanisingsystemonthesierpinskicarpetashorttimedynamicsstudy
bdutipo_str	Repositorios
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Critical behavior of an Ising system on the Sierpinski carpet: a short-time dynamics study

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