Nonuniversal Critical Spreading in Two Dimensions

Details Nonuniversal Critical Spreading in Two Dimensions Nonuniversal Critical Spreading in Two Dimensions

1995-10-18

arxiv.org/abs/cond-mat/9510099v1

Physics

Condensed Matter

21 pages, REVTeX, figures available upon request

Scientific paper

10.1103/PhysRevE.53.2223

Continuous phase transitions are studied in a two dimensional nonequilibrium model with an infinite number of absorbing configurations. Spreading from a localized source is characterized by nonuniversal critical exponents, which vary continuously with the density phi in the surrounding region. The exponent delta changes by more than an order of magnitude, and eta changes sign. The location of the critical point also depends on phi, which has important implications for scaling. As expected on the basis of universality, the static critical behavior belongs to the directed percolation class.

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