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• W2050264211 abstract "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 $ensuremath{alpha}$ calculated by the hyperscaling relation $ensuremath{alpha}=2ensuremath{-}densuremath{nu}$, where $ensuremath{nu}$ is the spatial correlation length exponent in $d$ dimensions, will be positive in two dimensions if the value of $ensuremath{nu}$ 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 $ensuremath{nu}$. 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." @default.
• W2050264211 created "2016-06-24" @default.
• W2050264211 creator A5010792630 @default.
• W2050264211 date "2011-10-18" @default.
• W2050264211 modified "2023-10-17" @default.
• W2050264211 title "Influence of quenched disorder on absorbing phase transitions in the conserved lattice gas model" @default.
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• W2050264211 doi "https://doi.org/10.1103/physreve.84.041123" @default.
• W2050264211 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/22181103" @default.
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