Active Brownian Motion in Threshold Distribution of a Coulomb Blockade Model

Details Active Brownian Motion in Threshold Distribution of a Coulomb Blockade Model Active Brownian Motion in Threshold Distribution of a Coulomb Blockade Model

2011-06-23

arxiv.org/abs/1106.4725v2

Phys. Rev. E 84, 051137 (2011)

Physics

Condensed Matter

Statistical Mechanics

4pages, 3figures

Scientific paper

10.1103/PhysRevE.84.051137

Randomly-distributed offset charges affect the nonlinear current-voltage property via the fluctuation of the threshold voltage of Coulomb blockade arrays. We analytically derive the distribution of the threshold voltage for a model of one-dimensional locally-coupled Coulomb blockade arrays, and propose a general relationship between conductance and the distribution. In addition, we show the distribution for a long array is equivalent to the distribution of the number of upward steps for aligned objects of different height. The distribution satisfies a novel Fokker-Planck equation corresponding to active Brownian motion. The feature of the distribution is clarified by comparing it with the Wigner and Ornstein-Uhlenbeck processes. It is not restricted to the Coulomb blockade model, but instructive in statistical physics generally.

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