Scaling behavior of the absorbing phase transition in a conserved lattice gas around the upper critical dimension

Details Scaling behavior of the absorbing phase transition in a conserved lattice gas around the upper critical dimension Scaling behavior of the absorbing phase transition in a conserved lattice gas around the upper critical dimension

2001-04-24

arxiv.org/abs/cond-mat/0104451v2

Physical Review E, 64, 016123 (2001)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 11 figures

Scientific paper

10.1103/PhysRevE.64.016123

We analyse numerically the critical behavior of a conserved lattice gas which was recently introduced as an example of the new universality class of absorbing phase transitions with a conserved field [Phys. Rev. Lett. 85, 1803 (2000)]. We determine the critical exponent of the order parameter as well as the critical exponent of the order parameter fluctuations in D=2,3,4,5 dimensions. A comparison of our results and those obtained from a mean-field approach and a field theory suggests that the upper critical dimension of the absorbing phase transition is four.

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