title: 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 above which the current flows in an array of a Coulomb blockade (CB). We analytically derive the distribution of the threshold voltage for a model of one-dimensional locally coupled CB arrays and propose a general relationship between conductance and distribution. In addition, we show that the distribution for a long array is equivalent to the distribution of the number of upward steps for aligned objects of different heights. 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 CB model but is instructive in statistical physics generally.
authors.affiliation: Department of Applied Quantum Physics and Nuclear Engineering, Kyushu University, Fukuoka, Japan. narumi@athena.ap.kyushu-u.ac.jp
authors.forename: Takayuki
authors.initials: T
authors.lastname: Narumi
authors.forename: Masaru
authors.initials: M
authors.lastname: Suzuki
authors.forename: Yoshiki
authors.initials: Y
authors.lastname: Hidaka
authors.forename: Tetsuya
authors.initials: T
authors.lastname: Asai
authors.forename: Shoichi
authors.initials: S
authors.lastname: Kai