Discrete scale invariance effects in the nonequilibrium critical behavior of the Ising magnet on a fractal substrate

The nonequilibrium critical dynamics of the Ising magnet on a fractal substrate, namely the Sierpinski carpet with Hausdorff dimension d H = 1.7925 , has been studied within the short-time regime by means of Monte Carlo simulations. The evolution of the physical observables was followed at criticali...

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Autores principales:	Bab, Marisa Alejandra, Fabricius, Gabriel, Albano, Ezequiel Vicente
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2006
Materias:	Física Sierpinski carpet Physics Statistical physics Scale invariance Phase transition Critical exponent Hausdorff dimension Fractal dimension Condensed matter physics Fractal Ising model
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/126475
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-126475
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 Physics Statistical physics Scale invariance Phase transition Critical exponent Hausdorff dimension Fractal dimension Condensed matter physics Fractal Ising model
spellingShingle	Física Sierpinski carpet Physics Statistical physics Scale invariance Phase transition Critical exponent Hausdorff dimension Fractal dimension Condensed matter physics Fractal Ising model Bab, Marisa Alejandra Fabricius, Gabriel Albano, Ezequiel Vicente Discrete scale invariance effects in the nonequilibrium critical behavior of the Ising magnet on a fractal substrate
topic_facet	Física Sierpinski carpet Physics Statistical physics Scale invariance Phase transition Critical exponent Hausdorff dimension Fractal dimension Condensed matter physics Fractal Ising model
description	The nonequilibrium critical dynamics of the Ising magnet on a fractal substrate, namely the Sierpinski carpet with Hausdorff dimension d H = 1.7925 , has been studied within the short-time regime by means of Monte Carlo simulations. The evolution of the physical observables was followed at criticality, after both annealing ordered spin configurations (ground state) and quenching disordered initial configurations (high temperature state), for three segmentation steps of the fractal. We have obtained evidence showing that during these relaxation processes both the growth and the fragmentation of magnetic domains become influenced by the hierarchical structure of the substrate. In fact, the interplay between the dynamic behavior of the magnet and the underlying fractal leads to the emergence of a logarithmic-periodic oscillation, superimposed to a power law, which has been observed in the time dependence of both the decay of the magnetization and its logarithmic derivative. These oscillations have been carefully characterized in order to determine the critical temperature of the second-order phase transition and the critical exponents corresponding to the short-time regime. The effects of the substrate can also be observed from the dependence of the effective critical exponents on the segmentation step. The exponent θ of the initial increase of the magnetization has also been obtained and the results suggest that it would be almost independent of the fractal dimension of the susbstrate, provided that d H is close enough to d = 2 . The oscillations have been discussed within the framework of the discrete scale invariance of the substrate.
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	Discrete scale invariance effects in the nonequilibrium critical behavior of the Ising magnet on a fractal substrate
title_short	Discrete scale invariance effects in the nonequilibrium critical behavior of the Ising magnet on a fractal substrate
title_full	Discrete scale invariance effects in the nonequilibrium critical behavior of the Ising magnet on a fractal substrate
title_fullStr	Discrete scale invariance effects in the nonequilibrium critical behavior of the Ising magnet on a fractal substrate
title_full_unstemmed	Discrete scale invariance effects in the nonequilibrium critical behavior of the Ising magnet on a fractal substrate
title_sort	discrete scale invariance effects in the nonequilibrium critical behavior of the ising magnet on a fractal substrate
publishDate	2006
url	http://sedici.unlp.edu.ar/handle/10915/126475
work_keys_str_mv	AT babmarisaalejandra discretescaleinvarianceeffectsinthenonequilibriumcriticalbehavioroftheisingmagnetonafractalsubstrate AT fabriciusgabriel discretescaleinvarianceeffectsinthenonequilibriumcriticalbehavioroftheisingmagnetonafractalsubstrate AT albanoezequielvicente discretescaleinvarianceeffectsinthenonequilibriumcriticalbehavioroftheisingmagnetonafractalsubstrate
bdutipo_str	Repositorios
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Discrete scale invariance effects in the nonequilibrium critical behavior of the Ising magnet on a fractal substrate

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