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Relaxation near a noise-induced transition point.

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Relaxation near a noise-induced transition point. / Jackson, P. J.; Lambert, Colin; Mannella, R. et al.
In: Physical review a, Vol. 40, No. 5, 09.1989, p. 2875-2878.

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

Harvard

Jackson, PJ, Lambert, C, Mannella, R, Martano, P, McClintock, PVE & Stocks, NG 1989, 'Relaxation near a noise-induced transition point.', Physical review a, vol. 40, no. 5, pp. 2875-2878. https://doi.org/10.1103/PhysRevA.40.2875

APA

Jackson, P. J., Lambert, C., Mannella, R., Martano, P., McClintock, P. V. E., & Stocks, N. G. (1989). Relaxation near a noise-induced transition point. Physical review a, 40(5), 2875-2878. https://doi.org/10.1103/PhysRevA.40.2875

Vancouver

Jackson PJ, Lambert C, Mannella R, Martano P, McClintock PVE, Stocks NG. Relaxation near a noise-induced transition point. Physical review a. 1989 Sept;40(5):2875-2878. doi: 10.1103/PhysRevA.40.2875

Author

Jackson, P. J. ; Lambert, Colin ; Mannella, R. et al. / Relaxation near a noise-induced transition point. In: Physical review a. 1989 ; Vol. 40, No. 5. pp. 2875-2878.

Bibtex

@article{933938c2819742b78f06776f019f101f,
title = "Relaxation near a noise-induced transition point.",
abstract = "The transient behavior of a quadratic model system perturbed by a multiplicative white noise has been investigated. The relaxation time of the system, as a function of the noise intensity D, has been determined by analog experiment and by digital simulation. The results obtained are mutually consistent, but contradict a recent theoretical prediction by H. K. Leung [Phys. Rev. A 37, 1341 (1988)] that there should be a critical slowing down of the system near the value of D for which a noise-induced transition occurs in the probability distribution. The discrepancy is resolved by deriving a new analytic result for the relaxation time, applicable to a range of systems described by separable stochastic differential equations.",
author = "Jackson, {P. J.} and Colin Lambert and R. Mannella and P. Martano and McClintock, {Peter V. E.} and Stocks, {N. G.}",
year = "1989",
month = sep,
doi = "10.1103/PhysRevA.40.2875",
language = "English",
volume = "40",
pages = "2875--2878",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Relaxation near a noise-induced transition point.

AU - Jackson, P. J.

AU - Lambert, Colin

AU - Mannella, R.

AU - Martano, P.

AU - McClintock, Peter V. E.

AU - Stocks, N. G.

PY - 1989/9

Y1 - 1989/9

N2 - The transient behavior of a quadratic model system perturbed by a multiplicative white noise has been investigated. The relaxation time of the system, as a function of the noise intensity D, has been determined by analog experiment and by digital simulation. The results obtained are mutually consistent, but contradict a recent theoretical prediction by H. K. Leung [Phys. Rev. A 37, 1341 (1988)] that there should be a critical slowing down of the system near the value of D for which a noise-induced transition occurs in the probability distribution. The discrepancy is resolved by deriving a new analytic result for the relaxation time, applicable to a range of systems described by separable stochastic differential equations.

AB - The transient behavior of a quadratic model system perturbed by a multiplicative white noise has been investigated. The relaxation time of the system, as a function of the noise intensity D, has been determined by analog experiment and by digital simulation. The results obtained are mutually consistent, but contradict a recent theoretical prediction by H. K. Leung [Phys. Rev. A 37, 1341 (1988)] that there should be a critical slowing down of the system near the value of D for which a noise-induced transition occurs in the probability distribution. The discrepancy is resolved by deriving a new analytic result for the relaxation time, applicable to a range of systems described by separable stochastic differential equations.

U2 - 10.1103/PhysRevA.40.2875

DO - 10.1103/PhysRevA.40.2875

M3 - Journal article

VL - 40

SP - 2875

EP - 2878

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 5

ER -