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- W2023892797 startingPage "3740" @default.
- W2023892797 abstract "Classical single-particle hopping has been investigated by Monte Carlo calculations for a one-dimensional (1D) lattice with random nearest-neighbor hopping rates $ensuremath{Gamma}$ distributed as ${ensuremath{Gamma}}^{ensuremath{-}ensuremath{alpha}}$ between ${ensuremath{Omega}}_{1}$ and ${ensuremath{Omega}}_{0}$ in accordance with the recent theory of Bernasconi et al. We find agreement if the minimum rate ${ensuremath{Omega}}_{1}$ is finite, but not for ${ensuremath{Omega}}_{1}=0$. We show that the predicted $tensuremath{rightarrow}ensuremath{infty}(ensuremath{omega}ensuremath{rightarrow}0)$ limit is not reached until extraordinarily long times, much longer than the $5ifmmodetimeselsetexttimesfi{}{10}^{3}{ensuremath{Omega}}_{0}^{ensuremath{-}1}$ of the simulations; so this, rather than an incorrect theoretical $ensuremath{omega}ensuremath{rightarrow}0$ limit, is the likely cause of the discrepancy. Implications for observance of the predicted conductivity transition in potassium hollandite are discussed." @default.
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- W2023892797 date "1980-04-15" @default.
- W2023892797 modified "2023-09-23" @default.
- W2023892797 title "Computer-simulated hopping in a random one-dimensional system" @default.
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- W2023892797 doi "https://doi.org/10.1103/physrevb.21.3740" @default.
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