Active Brownian Motion in Threshold Distribution of a Coulomb Blockade Model
Abstract
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.
Keywords
Cite
@article{arxiv.1106.4725,
title = {Active Brownian Motion in Threshold Distribution of a Coulomb Blockade Model},
author = {Takayuki Narumi and Masaru Suzuki and Yoshiki Hidaka and Tetsuya Asai and Shoichi Kai},
journal= {arXiv preprint arXiv:1106.4725},
year = {2012}
}
Comments
4pages, 3figures