Absorbing phase transition in a conserved lattice gas with random neighbor particle hopping

Details Absorbing phase transition in a conserved lattice gas with random neighbor particle hopping Absorbing phase transition in a conserved lattice gas with random neighbor particle hopping

2001-10-11

arxiv.org/abs/cond-mat/0110225v2

Journal of Physics A 34, L577 (2001)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures, accepted for publication in J. Phys. A

Scientific paper

10.1088/0305-4470/34/42/103

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks long range spatial correlations our model mimics the mean-field scaling behavior of the recently introduced new universality class of absorbing phase transitions with a conserved field. The critical exponent of the order parameter is derived within a simple approximation. The results are compared with those of simulations and field theoretical approaches.

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