Non-universal non-equilibrium critical dynamics with disorder

Details Non-universal non-equilibrium critical dynamics with disorder Non-universal non-equilibrium critical dynamics with disorder

2008-11-14

arxiv.org/abs/0811.2255v2

Phys. Rev. E 79, 061126 (2009)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 7 figures, detailed version. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.79.061126

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.

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