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Abstract: We investigate finite size scaling aspects of disorder reaction-diffusionprocesses in one dimension utilizing both numerical and analytical approaches.The former averages the spectrum gap of the associated evolution operators bydoubling their degrees of freedom, while the latter uses various techniques tomap the equations of motion to a first passage time process. Both approachesare consistent with nonuniversal dynamic exponents, and with stretchedexponential scaling forms for particular disorder realizations.



Author: M. D. Grynberg, G. L. Rossini, R. B. Stinchcombe

Source: https://arxiv.org/







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