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Stochastic resonance : linear response and giant nonlinearity.

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Stochastic resonance : linear response and giant nonlinearity. / Dykman, Mark; Luchinsky, D. G.; Mannella, R. et al.
In: Journal of Statistical Physics, Vol. 70, No. 1-2, 01.1993, p. 463-478.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Dykman, M, Luchinsky, DG, Mannella, R, McClintock, PVE, Stein, ND & Stocks, NG 1993, 'Stochastic resonance : linear response and giant nonlinearity.', Journal of Statistical Physics, vol. 70, no. 1-2, pp. 463-478. https://doi.org/10.1007/BF01053982

APA

Dykman, M., Luchinsky, D. G., Mannella, R., McClintock, P. V. E., Stein, N. D., & Stocks, N. G. (1993). Stochastic resonance : linear response and giant nonlinearity. Journal of Statistical Physics, 70(1-2), 463-478. https://doi.org/10.1007/BF01053982

Vancouver

Dykman M, Luchinsky DG, Mannella R, McClintock PVE, Stein ND, Stocks NG. Stochastic resonance : linear response and giant nonlinearity. Journal of Statistical Physics. 1993 Jan;70(1-2):463-478. doi: 10.1007/BF01053982

Author

Dykman, Mark ; Luchinsky, D. G. ; Mannella, R. et al. / Stochastic resonance : linear response and giant nonlinearity. In: Journal of Statistical Physics. 1993 ; Vol. 70, No. 1-2. pp. 463-478.

Bibtex

@article{936e07b81eeb4be0b5caa4d2f826782f,
title = "Stochastic resonance : linear response and giant nonlinearity.",
abstract = "The response of a bistable system to a weak periodic force is investigated using linear response theory (LRT) and by analogue electronic experiment. For quasithermal systems the response, and in particular its increase with increasing noise intensity D, are described by the fluctuation dissipation relations. For small D the low-frequency susceptibility of the system chi(omega) has been found in explicit form allowing for both forced oscillations about the states and periodic modulation of the probabilities of fluctuational transitions between the states. It is shown, both theoretically and experimentally, that a phase lag phi between the force and the response passes through a maximum when D is tuned through the range where stochastic resonance (SR) occurs. A giant nonlinearity of the response is shown to arise for small D and small frequencies of the driving force. It results in the signal induced by a sinusoidal force being nearly rectangular. The range of applicability of LRT is established.",
author = "Mark Dykman and Luchinsky, {D. G.} and R. Mannella and McClintock, {Peter V. E.} and Stein, {N. D.} and Stocks, {N. G.}",
note = "The final publication is available at Springer via http://dx.doi.org/10.1007/BF01053982 Proceedings of the NATO Advanced Research Workshop: Stochastic Resonance in Physics and Biology, 30 March - 3 April 1992, San Diego CA.",
year = "1993",
month = jan,
doi = "10.1007/BF01053982",
language = "English",
volume = "70",
pages = "463--478",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "1-2",

}

RIS

TY - JOUR

T1 - Stochastic resonance : linear response and giant nonlinearity.

AU - Dykman, Mark

AU - Luchinsky, D. G.

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - Stein, N. D.

AU - Stocks, N. G.

N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/BF01053982 Proceedings of the NATO Advanced Research Workshop: Stochastic Resonance in Physics and Biology, 30 March - 3 April 1992, San Diego CA.

PY - 1993/1

Y1 - 1993/1

N2 - The response of a bistable system to a weak periodic force is investigated using linear response theory (LRT) and by analogue electronic experiment. For quasithermal systems the response, and in particular its increase with increasing noise intensity D, are described by the fluctuation dissipation relations. For small D the low-frequency susceptibility of the system chi(omega) has been found in explicit form allowing for both forced oscillations about the states and periodic modulation of the probabilities of fluctuational transitions between the states. It is shown, both theoretically and experimentally, that a phase lag phi between the force and the response passes through a maximum when D is tuned through the range where stochastic resonance (SR) occurs. A giant nonlinearity of the response is shown to arise for small D and small frequencies of the driving force. It results in the signal induced by a sinusoidal force being nearly rectangular. The range of applicability of LRT is established.

AB - The response of a bistable system to a weak periodic force is investigated using linear response theory (LRT) and by analogue electronic experiment. For quasithermal systems the response, and in particular its increase with increasing noise intensity D, are described by the fluctuation dissipation relations. For small D the low-frequency susceptibility of the system chi(omega) has been found in explicit form allowing for both forced oscillations about the states and periodic modulation of the probabilities of fluctuational transitions between the states. It is shown, both theoretically and experimentally, that a phase lag phi between the force and the response passes through a maximum when D is tuned through the range where stochastic resonance (SR) occurs. A giant nonlinearity of the response is shown to arise for small D and small frequencies of the driving force. It results in the signal induced by a sinusoidal force being nearly rectangular. The range of applicability of LRT is established.

U2 - 10.1007/BF01053982

DO - 10.1007/BF01053982

M3 - Journal article

VL - 70

SP - 463

EP - 478

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -