Active Brownian motion in threshold distribution of a Coulomb blockade model

Takayuki Narumi, Masaru Suzuki, Yoshiki Hidaka, Tetsuya Asai, Shoichi Kai

研究成果: Contribution to journalArticle査読

6 被引用数 (Scopus)

抄録

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.

本文言語英語
論文番号051137
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
84
5
DOI
出版ステータス出版済み - 11 29 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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