Non-universal non-equilibrium critical dynamics with disorder
arXiv:0811.2255 · doi:10.1103/PhysRevE.79.061126
Abstract
We investigate finite size scaling aspects of disorder reaction-diffusion processes in one dimension utilizing both numerical and analytical approaches. The former averages the spectrum gap of the associated evolution operators by doubling their degrees of freedom, while the latter uses various techniques to map the equations of motion to a first passage time process. Both approaches are consistent with nonuniversal dynamic exponents, and with stretched exponential scaling forms for particular disorder realizations.
10 pages, 7 figures, detailed version. To appear in Phys. Rev. E