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

S. Lubeck·A. Hucht
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Abstract

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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S. Lubeck, A. Hucht. 2001-10-12. Absorbing phase transition in a conserved lattice gas with random neighbor particle hopping. https://doi.org/10.1088/0305-4470%2F34%2F42%2F103

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