Phase diagram of a cyclic predator-prey model with neutral-pairs exchange
| Autor: | M. Girardi, Ernesto S. Loscar, Nara Guisoni |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Physics
Phase transition GRADIENT METHOD Triple point Ciencias Físicas Percolation threshold purl.org/becyt/ford/1.3 [https] IRREVERSIBLE PHASE TRANSITIONS Directed percolation Critical point (mathematics) Universality (dynamical systems) purl.org/becyt/ford/1 [https] Statistical physics CYCLIC MODEL MONTE CARLO SIMULATIONS Gradient method CIENCIAS NATURALES Y EXACTAS Phase diagram Física de los Materiales Condensados |
| Zdroj: | CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| DOI: | 10.1103/PhysRevE.88.022133 |
| Popis: | 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. Fil: Guisoni, Nara Cristina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Física de Líquidos y Sistemas Biológicos (i); Argentina Fil: Loscar, Ernesto Selim. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina Fil: Girardi, Mauricio. Universidade Federal Da Santa Catarina; Brasil |
| Databáze: | OpenAIRE |
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