The phase transitions of general nA→(n+k)A, mA→(m-l)A reaction type of models with explicit single particle diffusion on occupation number restricted lattices in one and two dimensions were investigated. It was shown that the mean-field solution for n=m symmetric cases results in universality classes characterized by the exponents α=1/n and β=1. The upper critical dimensions were determined for the triplet and quadruplet cases by simulations.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Issue number||5 2|
|Publication status||Published - May 1 2003|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics