We investigated the phase transition behavior of a binary spreading process in two dimensions for different particle diffusion strengths (D), We found that N>2 cluster mean-field approximations must be considered to get consistent singular behavior. The D=3,4 approximations result in a continuous phase transition belonging to a single universality class along the D ∈ (0,1) phase transition line. Large scale simulations of the particle density confirmed mean-field scaling behavior with logarithmic corrections. This is interpreted as numerical evidence supporting the bosonic field theoretical prediction that the upper critical dimension in this model is dc=2. The pair density scales in a similar way but with an additional logarithmic factor to the order parameter. At the D = 0 end point of the transition line we found directed percolation criticality.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - May 1 2002|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics