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- W2059911269 abstract "We perform Monte Carlo simulations of front propagation in a two-dimensional random medium in which a fraction 1-p of the bonds have infinite transit time and the remainder have finite transit times t drawn from a probability distribution f(t). We take f(t) to be zero for t1 and to decay as ${mathit{t}}^{mathrm{ensuremath{-}}mathrm{ensuremath{tau}}}$ for tensuremath{ge}1. At the percolation threshold, we recover the usual values for the kinetic critical exponents when ensuremath{tau}>2, but these exponents vary continuously with ensuremath{tau} for ensuremath{tau}ensuremath{in}(1,2]. For p=1, the kinetics of the front appear to be correctly described by the Kardar-Parisi-Zhang equation when ensuremath{tau}>2. In contrast, we find anomalous scaling behavior for ensuremath{tau}=1.75." @default.
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- W2059911269 date "1994-10-01" @default.
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- W2059911269 title "Front propagation in a random medium with a power-law distribution of transit times" @default.
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- W2059911269 doi "https://doi.org/10.1103/physreve.50.2467" @default.
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