Extinction, survival, and dynamical phase transition of branching annihilating random walk

Publisher Website
Google Scholar
Abstract
We analyze statistical properties of random walkers which disappear when they meet and make offsprings by a controllable rate. Numerical results for one, two, and three dimensions and for the Sierpinski gasket are assessed in a view of the mean-field theory predictions. Universality classes are found to depend on the number of offsprings in space dimension less than 3.