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8 papers · 2 filters
Phase transition of the one-dimensional coagulation-production process
Geza Odor
Recently an exact solution has been found (M.Henkel and H.Hinrichsen, cond-mat/0010062) for the 1d coagulation production process: 2A ->A, A0A->3A with equal diffusion and coagulat…
The universal behavior of one-dimensional, multi-species branching and annihilating random walks with exclusion
Geza Odor
A directed percolation process with two symmetric particle species exhibiting exclusion in one dimension is investigated numerically. It is shown that if the species are coupled by…
Phase transition in a spatial Lotka-Volterra model
Gyorgy Szabo, Tamas Czaran
Spatial evolution is investigated in a simulated system of nine competing and mutating bacterium strains, which mimics the biochemical war among bacteria capable of producing two d…
Branching annihilating random walk on random regular graphs
Gyorgy Szabo
The branching annihilating random walk is studied on a random graph whose sites have uniform number of neighbors (z). The Monte Carlo simulations in agreement with the generalized…
Critical branching-annihilating random walk of two species
Geza Odor
The effect of blocking between different species occurring in one dimension is investigated here numerically in the case of particles following branching and annihilating random wa…
Critical behaviour of the 1d annihilation fission process 2A->0, 2A->3A
Geza Odor
Numerical simulations and cluster mean-field approximations with coherent anomaly extrapolation show that the critical line of the 1d annihilation fission process is separated into…