### 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.

Original language | English |
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Article number | 051137 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 84 |

Issue number | 5 |

DOIs | |

Publication status | Published - Nov 29 2011 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*84*(5), [051137]. https://doi.org/10.1103/PhysRevE.84.051137

**Active Brownian motion in threshold distribution of a Coulomb blockade model.** / Narumi, Takayuki; Suzuki, Masaru; Hidaka, Yoshiki; Asai, Tetsuya; Kai, Shoichi.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 84, no. 5, 051137. https://doi.org/10.1103/PhysRevE.84.051137

}

TY - JOUR

T1 - Active Brownian motion in threshold distribution of a Coulomb blockade model

AU - Narumi, Takayuki

AU - Suzuki, Masaru

AU - Hidaka, Yoshiki

AU - Asai, Tetsuya

AU - Kai, Shoichi

PY - 2011/11/29

Y1 - 2011/11/29

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=83255163949&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=83255163949&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.84.051137

DO - 10.1103/PhysRevE.84.051137

M3 - Article

C2 - 22181398

AN - SCOPUS:83255163949

VL - 84

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5

M1 - 051137

ER -