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Probability distributions and escape rates for systems driven by quasimonochromatic noise.

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Probability distributions and escape rates for systems driven by quasimonochromatic noise. / Dykman, Mark; Mannella, R.; McClintock, Peter V. E. et al.
In: Physical Review E, Vol. 47, No. 6, 06.1993, p. 3996-4009.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Dykman, M, Mannella, R, McClintock, PVE, Stein, ND & Stocks, NG 1993, 'Probability distributions and escape rates for systems driven by quasimonochromatic noise.', Physical Review E, vol. 47, no. 6, pp. 3996-4009. https://doi.org/10.1103/PhysRevE.47.3996

APA

Dykman, M., Mannella, R., McClintock, P. V. E., Stein, N. D., & Stocks, N. G. (1993). Probability distributions and escape rates for systems driven by quasimonochromatic noise. Physical Review E, 47(6), 3996-4009. https://doi.org/10.1103/PhysRevE.47.3996

Vancouver

Dykman M, Mannella R, McClintock PVE, Stein ND, Stocks NG. Probability distributions and escape rates for systems driven by quasimonochromatic noise. Physical Review E. 1993 Jun;47(6):3996-4009. doi: 10.1103/PhysRevE.47.3996

Author

Dykman, Mark ; Mannella, R. ; McClintock, Peter V. E. et al. / Probability distributions and escape rates for systems driven by quasimonochromatic noise. In: Physical Review E. 1993 ; Vol. 47, No. 6. pp. 3996-4009.

Bibtex

@article{34b0c7ada94741ef98f8704e6a454161,
title = "Probability distributions and escape rates for systems driven by quasimonochromatic noise.",
abstract = "The motion of an overdamped particle in a bistable potential U(x), driven quasimonochromatic noise (high-frequency, narrow-band noise), has been investigated by means of analog simulation. The escape rate from one potential well to another was found to be exponentially small compared to the reciprocal mean first-passage time to the top of the potential barrier. The logarithm of the quasistationary probability distribution was observed to fall extremely sharply at a particular value of x, quite close to the equilibrium position. Theory describing the nonanalytic dependence of this logarithm on the bandwidth of the noise is presented and shown to be in good agreement with experiment. Data are also presented for a symmetric monostable potential. In a certain parameter range, the quasistationary distribution is demonstrated to be independent of the form of such a potential.",
author = "Mark Dykman and R. Mannella and McClintock, {Peter V. E.} and Stein, {N. D.} and Stocks, {N. G.}",
year = "1993",
month = jun,
doi = "10.1103/PhysRevE.47.3996",
language = "English",
volume = "47",
pages = "3996--4009",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Probability distributions and escape rates for systems driven by quasimonochromatic noise.

AU - Dykman, Mark

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - Stein, N. D.

AU - Stocks, N. G.

PY - 1993/6

Y1 - 1993/6

N2 - The motion of an overdamped particle in a bistable potential U(x), driven quasimonochromatic noise (high-frequency, narrow-band noise), has been investigated by means of analog simulation. The escape rate from one potential well to another was found to be exponentially small compared to the reciprocal mean first-passage time to the top of the potential barrier. The logarithm of the quasistationary probability distribution was observed to fall extremely sharply at a particular value of x, quite close to the equilibrium position. Theory describing the nonanalytic dependence of this logarithm on the bandwidth of the noise is presented and shown to be in good agreement with experiment. Data are also presented for a symmetric monostable potential. In a certain parameter range, the quasistationary distribution is demonstrated to be independent of the form of such a potential.

AB - The motion of an overdamped particle in a bistable potential U(x), driven quasimonochromatic noise (high-frequency, narrow-band noise), has been investigated by means of analog simulation. The escape rate from one potential well to another was found to be exponentially small compared to the reciprocal mean first-passage time to the top of the potential barrier. The logarithm of the quasistationary probability distribution was observed to fall extremely sharply at a particular value of x, quite close to the equilibrium position. Theory describing the nonanalytic dependence of this logarithm on the bandwidth of the noise is presented and shown to be in good agreement with experiment. Data are also presented for a symmetric monostable potential. In a certain parameter range, the quasistationary distribution is demonstrated to be independent of the form of such a potential.

U2 - 10.1103/PhysRevE.47.3996

DO - 10.1103/PhysRevE.47.3996

M3 - Journal article

VL - 47

SP - 3996

EP - 4009

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

ER -