Non-universal non-equilibrium critical dynamics with disorder
Statistical Mechanics
2009-06-27 v2 Disordered Systems and Neural Networks
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.
Cite
@article{arxiv.0811.2255,
title = {Non-universal non-equilibrium critical dynamics with disorder},
author = {M. D. Grynberg and G. L. Rossini and R. B. Stinchcombe},
journal= {arXiv preprint arXiv:0811.2255},
year = {2009}
}
Comments
10 pages, 7 figures, detailed version. To appear in Phys. Rev. E