Journal
PHYSICAL REVIEW E
Volume 84, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.84.041123
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Funding
- Korea Science and Engineering Foundation [2008-0058988]
- Korea Research Foundation
- Korean Government [KRF-2008-313-C00329]
- National Research Foundation of Korea [2008-313-C00329, 2008-0058988] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Motivated by the Harris criterion, the absorbing phase transitions of the conserved lattice gas (CLG) model were studied on lattices with a quenched disorder, i.e., on infinite percolation networks, in two and three dimensions. The Harris criterion suggests that, in a magnetic system, the pure fixed point will be unstable if the specific-heat exponent is positive. For the CLG model, the specific-heat exponent alpha calculated by the hyperscaling relation alpha = 2 - d nu, where nu is the spatial correlation length exponent in d dimensions, will be positive in two dimensions if the value of. obtained earlier by Lubeck and Heger is employed. On the other hand, it will be close to 0 if the more recent value by Lee and Lee is used and it is positive in three dimensions with the available value of nu. Extensive numerical simulations showed that, when the concentration of disordered sites is less than the critical concentration, the critical exponents were similar to those on a regular lattice both in two and three dimensions. When the concentration of disordered sites becomes critical, the density of active particles showed nonuniversal power-law behavior for all particle densities considered in both dimensions. These results were in contrast to the results for the diluted contact process. The cause of such a nonuniversal behavior was addressed.
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