Distribution function of mesoscopic hopping conductance
Liqun He, Eugene Kogan, Moshe Kaveh, Shlomo Havlin, and Nehemia, Schwartz
TL;DR
This paper uses computer simulations to analyze the distribution functions of mesoscopic hopping conductance across different system dimensions, finding close agreement with theoretical predictions and identifying near-Gaussian behavior in square samples.
Contribution
It provides a comparative analysis of conductance distribution functions in 1D, 2D narrow systems, thin films, and square samples, validating theoretical models and revealing distribution shapes.
Findings
DFs in 1D align with Raikh and Ruzin's theory
D 2 DFs are similar across geometries and resemble 1D
Square sample conductance DFs are nearly Gaussian
Abstract
We study by computer simulation distribution functions (DF) of mesoscopic hopping conductance. The DFs obtained for one-dimensional systems were found to be quite close to the predictions of the theory by Raikh and Ruzin. For D=2, the DFs both for narrow system and thin film look similar (and close to the 1D case).The distribution function for the conductance of the square sample is nearly Gaussian.
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Taxonomy
TopicsNeural Networks and Applications · stochastic dynamics and bifurcation