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• W2733774254 abstract "The single-parameter scaling hypothesis relating the average and variance of the logarithm of the conductance is a pillar of the theory of electronic transport. We use a maximum-entropy ansatz to explore the logarithm of the particle, or energy density $lnmathcal{W}(x)$ at a depth $x$ into a random one-dimensional system. Single-parameter scaling would be the special case in which $x=L$ (the system length). We find the result, confirmed in microwave measurements and computer simulations, that the average of $lnmathcal{W}(x)$ is independent of $L$ and equal to $ensuremath{-}x/ensuremath{ell}$, with $ensuremath{ell}$ the mean free path. At the beginning of the sample, $mathrm{var}[lnmathcal{W}(x)]$ rises linearly with $x$ and is also independent of $L$, with a sublinear increase and then a drop near the sample output. At $x=L$ we find a correction to the value of $mathrm{var}[lnT]$ predicted by single-parameter scaling." @default.
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• W2733774254 date "2017-11-16" @default.
• W2733774254 modified "2023-10-16" @default.
• W2733774254 title "Single-parameter scaling and maximum entropy inside disordered one-dimensional systems: Theory and experiment" @default.
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• W2733774254 doi "https://doi.org/10.1103/physrevb.96.180203" @default.
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