Proposal and applications of a method for the study of irreversible phase transitions.
Phys Rev E Stat Nonlin Soft Matter Phys
; 80(5 Pt 1): 051123, 2009 Nov.
Article
em En
| MEDLINE
| ID: mdl-20364963
The gradient method for the study of irreversible phase transitions in far-from-equilibrium lattice systems is proposed and successfully applied to both the archetypical case of the Ziff-Gulari-Barshad model [R. M. Ziff, Phys. Rev. Lett. 56, 2553 (1986)] and a forest-fire cellular automaton. By setting a gradient of the control parameter along one axis of the lattice, one can simultaneously treat both the active and the inactive phases of the system. In this way different interfaces are defined whose study allows us to find the active-inactive phase transition (both of first and second order), as well as the description of the active phase as composed of two further phases: the percolating and the nonpercolating ones. The average location and the width of the interfaces obey standard scaling behavior that is essentially governed by the roughness exponent alpha=1/(1+nu) , where nu is the suitable correlation length exponent.
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MEDLINE
Assunto principal:
Transição de Fase
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Modelos Químicos
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
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FISIOLOGIA
Ano de publicação:
2009
Tipo de documento:
Article
País de afiliação:
Argentina
País de publicação:
Estados Unidos