Generalized contact process on random environments

Details Generalized contact process on random environments Generalized contact process on random environments

2002-02-26

arxiv.org/abs/cond-mat/0202461v1

Phys. Rev. E, 65 (2002) 066111.

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 7 figures

Scientific paper

10.1103/PhysRevE.65.066111

Spreading from a seed is studied by Monte Carlo simulation on a square lattice with two types of sites affecting the rates of birth and death. These systems exhibit a critical transition between survival and extinction. For time- dependent background, this transition is equivalent to those found in homogeneous systems (i.e. to directed percolation). For frozen backgrounds, the appearance of Griffiths phase prevents the accurate analysis of this transition. For long times in the subcritical region, spreading remains localized in compact (rather than ramified) patches, and the average number of occupied sites increases logarithmically in the surviving trials.

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