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Título : Lifespan method as a tool to study criticality in absorbing-state phase transitions
Autor: Mata, Angélica S.
Boguñá, Marian
Castellano, Claudio
Pastor-Satorras, Romualdo
Palavras-chave: Lifespan method
Absorbing-state
Publicador: American Physical Society
Data da publicação: Mai-2015
Referência: MATA, A. S.et al. Lifespan method as a tool to study criticality in absorbing-state phase transitions. Physical Review E, New York, v. 91, n. 5, p. 1-8, May 2015.
Abstract: In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Boguñá, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 111, 068701 (2013)]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well-understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasistationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasistationary simulations and with analytical results. Our observations confirm that the lifespan method is a fully legitimate tool for the study of the critical properties of absorbing phase transitions in regular lattices.
URI: http://repositorio.ufla.br/jspui/handle/1/12315
Idioma: en_US
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