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 |
|---|---|
| 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
Active Brownian motion in threshold distribution of a Coulomb blockade model. / Narumi, Takayuki; Suzuki, Masaru; Hidaka, Yoshiki; Asai, Tetsuya; Kai, Shoichi.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 84, No. 5, 051137, 29.11.2011.Research output: Contribution to journal › Article
}
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.
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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 -