Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model

The magnetic Eden model (MEM) [N. Vandewalle and M. Ausloos, Phys. Rev. E 50, R635 (1994)] with ferromagnetic interactions between nearest-neighbor spins is studied in (d+1)-dimensional rectangular geometries for d = 1,2. In the MEM, magnetic clusters are grown by adding spins at the boundaries of t...

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Detalles Bibliográficos
Autores principales: Candia, Julián Marcelo, Albano, Ezequiel Vicente
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Ciencias Exactas
Física
magnetic Eden model (MEM)
dimensional rectangular geometries
magnetic clusters
equilibrium Ising model
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126061
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126061
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
magnetic Eden model (MEM)
dimensional rectangular geometries
magnetic clusters
equilibrium Ising model
spellingShingle Ciencias Exactas
Física
magnetic Eden model (MEM)
dimensional rectangular geometries
magnetic clusters
equilibrium Ising model
Candia, Julián Marcelo
Albano, Ezequiel Vicente
Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
topic_facet Ciencias Exactas
Física
magnetic Eden model (MEM)
dimensional rectangular geometries
magnetic clusters
equilibrium Ising model
description The magnetic Eden model (MEM) [N. Vandewalle and M. Ausloos, Phys. Rev. E 50, R635 (1994)] with ferromagnetic interactions between nearest-neighbor spins is studied in (d+1)-dimensional rectangular geometries for d = 1,2. In the MEM, magnetic clusters are grown by adding spins at the boundaries of the clusters. The orientation of the added spins depends on both the energetic interaction with already deposited spins and the temperature, through a Boltzmann factor. A numerical Monte Carlo investigation of the MEM has been performed and the results of the simulations have been analyzed using finite-size scaling arguments. As in the case of the Ising model, the MEM in d = 1 is noncritical (only exhibits an ordered phase at T = 0). In d = 2 the MEM exhibits an order-disorder transition of second order at a finite temperature. Such transition has been characterized in detail and the relevant critical exponents have been determined. These exponents are in agreement (within error bars) with those of the Ising model in two dimensions. Further similarities between both models have been found by evaluating the probability distribution of the order parameter, the magnetization, and the susceptibility. Results obtained by means of extensive computer simulations allow us to put forward a conjecture that establishes a nontrivial correspondence between the MEM for the irreversible growth of spins and the equilibrium Ising model. This conjecture is certainly a theoretical challenge and its confirmation will contribute to the development of a framework for the study of irreversible growth processes.
format Articulo
Articulo
author Candia, Julián Marcelo
Albano, Ezequiel Vicente
author_facet Candia, Julián Marcelo
Albano, Ezequiel Vicente
author_sort Candia, Julián Marcelo
title Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
title_short Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
title_full Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
title_fullStr Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
title_full_unstemmed Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
title_sort comparative study of an eden model for the irreversible growth of spins and the equilibrium ising model
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/126061
work_keys_str_mv AT candiajulianmarcelo comparativestudyofanedenmodelfortheirreversiblegrowthofspinsandtheequilibriumisingmodel
AT albanoezequielvicente comparativestudyofanedenmodelfortheirreversiblegrowthofspinsandtheequilibriumisingmodel
bdutipo_str Repositorios
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