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- W2068276985 abstract "We study diffusion on a substrate with permanent traps distributed with critical positional correlation, modeled by their placement on the perimeters of a critical percolation cluster. We perform a numerical analysis of the vibrational density of states and the largest eigenvalue of the equivalent scalar elasticity problem using the method of Arnoldi and Saad. We show that the critical trap correlation increases the exponent appearing in the stretched exponential behavior of the low frequency density of states by approximately a factor of two as compared to the case of no correlations. A finite-size scaling hypothesis of the largest eigenvalue is proposed and its relation to the density of states is given. The numerical analysis of this scaling postulate leads to the estimation of the stretch exponent in good agreement with the result for the density of states. textcopyright{} 1996 The American Physical Society." @default.
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- W2068276985 date "1996-02-01" @default.
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- W2068276985 title "Diffusion with critically correlated traps and the slow relaxation of the longest-wavelength mode" @default.
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- W2068276985 doi "https://doi.org/10.1103/physreve.53.1470" @default.
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