Artículo
Phase diagram of a cyclic predator-prey model with neutral-pairs exchange
Fecha de publicación:
08/2013
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical Physics, Plasmas, Fluids And Related Interdisciplinary Topics
ISSN:
1063-651X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper we obtain the phase diagram of a four-species predator-prey lattice model by using the proposed gradient method. We consider cyclic transitions between consecutive states, representing invasion or predation, and allowed the exchange between neighboring neutral pairs. By applying a gradient in the invasion rate parameter one can see, in the same simulation, the presence of two symmetric absorbing phases, composed by neutral pairs, and an active phase that includes all four species. In this sense, the study of a single-valued interface and its fluctuations give the critical point of the irreversible phase transition and the corresponding universality classes. Also, the consideration of a multivalued interface and its fluctuations bring the percolation threshold. We show that the model presents two lines of irreversible first-order phase transition between the two absorbing phases and the active phase. Depending on the value of the system parameters, these lines can converge into a triple point, which is the beginning of a first-order irreversible line between the two absorbing phases, or end in two critical points belonging to the directed percolation universality class. Standard simulations for some characteristic values of the parameters confirm the order of the transitions as determined by the gradient method. Besides, below the triple point the model presents two standard percolation lines in the active phase and above a first-order percolation transition as already found in other similar models.
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Articulos(IFLYSIB)
Articulos de INST.FISICA DE LIQUIDOS Y SIST.BIOLOGICOS (I)
Articulos de INST.FISICA DE LIQUIDOS Y SIST.BIOLOGICOS (I)
Articulos(INIFTA)
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Citación
Guisoni, Nara Cristina; Loscar, Ernesto Selim; Girardi, Mauricio; Phase diagram of a cyclic predator-prey model with neutral-pairs exchange; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids And Related Interdisciplinary Topics; 88; 8-2013; 221331-2213310
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