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- W2016166378 abstract "We investigate the diffusion problem on random networks in two dimensions by directly calculating matrix elements of transport operators on percolating clusters with up to 440 000 sites. The mean-square displacement, diffusion coefficient, and probability of returning to the origin are calculated and then analyzed in the context of dynamical scaling theory. From these results, we delineate the time and density regimes over which scaling arguments are quantitative. We also show the relative fluctuations in the random walk and present evidence that the eigenvalues and eigenvectors of the transfer rate matrix become Euclidean at different points in spectral space." @default.
- W2016166378 created "2016-06-24" @default.
- W2016166378 creator A5012437524 @default.
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- W2016166378 date "1988-01-01" @default.
- W2016166378 modified "2023-09-26" @default.
- W2016166378 title "Direct numerical solution of the master-equation transport on disordered lattices via the Lanczos algorithm" @default.
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- W2016166378 doi "https://doi.org/10.1103/physrevb.37.308" @default.
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