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Bistability driven by colored noise : theory and experiment.

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Bistability driven by colored noise : theory and experiment. / Hanggi, Peter; Mroczkowski, Thomas J.; Moss, Frank et al.
In: Physical review a, Vol. 32, No. 1, 07.1985, p. 695-698.

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

Harvard

Hanggi, P, Mroczkowski, TJ, Moss, F & McClintock, PVE 1985, 'Bistability driven by colored noise : theory and experiment.', Physical review a, vol. 32, no. 1, pp. 695-698. https://doi.org/10.1103/PhysRevA.32.695

APA

Hanggi, P., Mroczkowski, T. J., Moss, F., & McClintock, P. V. E. (1985). Bistability driven by colored noise : theory and experiment. Physical review a, 32(1), 695-698. https://doi.org/10.1103/PhysRevA.32.695

Vancouver

Hanggi P, Mroczkowski TJ, Moss F, McClintock PVE. Bistability driven by colored noise : theory and experiment. Physical review a. 1985 Jul;32(1):695-698. doi: 10.1103/PhysRevA.32.695

Author

Hanggi, Peter ; Mroczkowski, Thomas J. ; Moss, Frank et al. / Bistability driven by colored noise : theory and experiment. In: Physical review a. 1985 ; Vol. 32, No. 1. pp. 695-698.

Bibtex

@article{9c4e6592cec944b5a4618c949c235264,
title = "Bistability driven by colored noise : theory and experiment.",
abstract = "A nonequilibrium, bistable flow driven by exponentially correlated Gaussian noise is considered. An approximate, nonlinear Fokker-Planck-type equation, modeling effectively the long-time dynamics of the bistable, non-Markovian flow is constructed, and the mean sojourn time is evaluated in the limit of weak noise. Keeping the noise strength constant, the mean sojourn time is predicted to undergo an exponential increase with increasing noise-correlation time. Representing the bistable, colored noise dynamics with an electronic circuit, the mean of the sojourn time and the sojourn-time distribution have been measured experimentally. The experiments confirm the exponential increase for the mean sojourn time and close quantitative agreement with this newly proposed theoretical approach is found. In contrast, previous approximation schemes which expand around the Markovian theory (zero-noise correlation time) would predict for this case an exponentially decreasing mean sojourn time upon increasing the noise-correlation time, in marked disagreement with the present measurements.",
author = "Peter Hanggi and Mroczkowski, {Thomas J.} and Frank Moss and McClintock, {Peter V. E.}",
year = "1985",
month = jul,
doi = "10.1103/PhysRevA.32.695",
language = "English",
volume = "32",
pages = "695--698",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Bistability driven by colored noise : theory and experiment.

AU - Hanggi, Peter

AU - Mroczkowski, Thomas J.

AU - Moss, Frank

AU - McClintock, Peter V. E.

PY - 1985/7

Y1 - 1985/7

N2 - A nonequilibrium, bistable flow driven by exponentially correlated Gaussian noise is considered. An approximate, nonlinear Fokker-Planck-type equation, modeling effectively the long-time dynamics of the bistable, non-Markovian flow is constructed, and the mean sojourn time is evaluated in the limit of weak noise. Keeping the noise strength constant, the mean sojourn time is predicted to undergo an exponential increase with increasing noise-correlation time. Representing the bistable, colored noise dynamics with an electronic circuit, the mean of the sojourn time and the sojourn-time distribution have been measured experimentally. The experiments confirm the exponential increase for the mean sojourn time and close quantitative agreement with this newly proposed theoretical approach is found. In contrast, previous approximation schemes which expand around the Markovian theory (zero-noise correlation time) would predict for this case an exponentially decreasing mean sojourn time upon increasing the noise-correlation time, in marked disagreement with the present measurements.

AB - A nonequilibrium, bistable flow driven by exponentially correlated Gaussian noise is considered. An approximate, nonlinear Fokker-Planck-type equation, modeling effectively the long-time dynamics of the bistable, non-Markovian flow is constructed, and the mean sojourn time is evaluated in the limit of weak noise. Keeping the noise strength constant, the mean sojourn time is predicted to undergo an exponential increase with increasing noise-correlation time. Representing the bistable, colored noise dynamics with an electronic circuit, the mean of the sojourn time and the sojourn-time distribution have been measured experimentally. The experiments confirm the exponential increase for the mean sojourn time and close quantitative agreement with this newly proposed theoretical approach is found. In contrast, previous approximation schemes which expand around the Markovian theory (zero-noise correlation time) would predict for this case an exponentially decreasing mean sojourn time upon increasing the noise-correlation time, in marked disagreement with the present measurements.

U2 - 10.1103/PhysRevA.32.695

DO - 10.1103/PhysRevA.32.695

M3 - Journal article

VL - 32

SP - 695

EP - 698

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 1

ER -