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Domain-size heterogeneity in the Ising model : geometrical and thermal transition

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Domain-size heterogeneity in the Ising model : geometrical and thermal transition

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Título Domain-size heterogeneity in the Ising model : geometrical and thermal transition
Autor Rocha, André Rodrigues de la
Oliveira, Paulo Murilo Castro de
Arenzon, Jeferson Jacob
Abstract A measure of cluster size heterogeneity (H), introduced by Lee et al. [Phys. Rev. E 84, 020101 (2011)] in the context of explosive percolation, was recently applied to random percolation and to domains of parallel spins in the Ising and Potts models. It is defined as the average number of different domain sizes in a given configuration and a new exponent was introduced to explain its scaling with the size of the system. In thermal spin models, however, physical clusters take into account the temperature-dependent correlation between neighboring spins and encode the critical properties of the phase transition.We here extend the measure of H to these clusters and, moreover, present new results for the geometric domains for both d = 2 and 3. We show that the heterogeneity associated with geometric domains has a previously unnoticed double peak, thus being able to detect both the thermal and percolative transitions. An alternative interpretation for the scaling of H that does not introduce a new exponent is also proposed.
Contido em Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 91, no. 4 (Apr. 2015), 042113, 6 p.
Assunto Modelo de ising
Modelo de Potts
Percolacao
Processos randômicos
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/118229
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