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Large fluctuations in a periodically driven dynamical system.

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Large fluctuations in a periodically driven dynamical system. / Dykman, Mark; Smelyanskiy, V. N.; Luchinsky, D. G. et al.
In: International Journal of Bifurcation and Chaos, Vol. 8, No. 4, 04.1998, p. 747-754.

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

Harvard

Dykman, M, Smelyanskiy, VN, Luchinsky, DG, Mannella, R, McClintock, PVE & Stein, ND 1998, 'Large fluctuations in a periodically driven dynamical system.', International Journal of Bifurcation and Chaos, vol. 8, no. 4, pp. 747-754. https://doi.org/10.1142/S0218127498000541

APA

Dykman, M., Smelyanskiy, V. N., Luchinsky, D. G., Mannella, R., McClintock, P. V. E., & Stein, N. D. (1998). Large fluctuations in a periodically driven dynamical system. International Journal of Bifurcation and Chaos, 8(4), 747-754. https://doi.org/10.1142/S0218127498000541

Vancouver

Dykman M, Smelyanskiy VN, Luchinsky DG, Mannella R, McClintock PVE, Stein ND. Large fluctuations in a periodically driven dynamical system. International Journal of Bifurcation and Chaos. 1998 Apr;8(4):747-754. doi: 10.1142/S0218127498000541

Author

Dykman, Mark ; Smelyanskiy, V. N. ; Luchinsky, D. G. et al. / Large fluctuations in a periodically driven dynamical system. In: International Journal of Bifurcation and Chaos. 1998 ; Vol. 8, No. 4. pp. 747-754.

Bibtex

@article{cb8a591f7a82434e8777c9e9bb4575ee,
title = "Large fluctuations in a periodically driven dynamical system.",
abstract = "Fluctuations in a periodically driven overdamped oscillator are studied theoretically and experimentally in the limit of low noise intensity by investigation of their prehistory. It is shown that, for small noise intensity, fluctuations to points in coordinate space that are remote from the stable states occur along paths that form narrow tubes. The tubes are centered on the optimal paths corresponding to trajectories of an auxiliary Hamiltonian system. The optimal paths themselves, and the tubes of paths around them, are visualized through measurements of the prehistory probability distribution for an electronic model. Some general features of fluctuations in nonequilibrium systems, such as singularities in the pattern of optimal paths, the corresponding nondifferentiability of the generalized nonequilibrium potential, and the feasibility of their experimental investigation, are discussed.",
author = "Mark Dykman and Smelyanskiy, {V. N.} and Luchinsky, {D. G.} and R. Mannella and McClintock, {Peter V. E.} and Stein, {N. D.}",
year = "1998",
month = apr,
doi = "10.1142/S0218127498000541",
language = "English",
volume = "8",
pages = "747--754",
journal = "International Journal of Bifurcation and Chaos",
issn = "0218-1274",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "4",

}

RIS

TY - JOUR

T1 - Large fluctuations in a periodically driven dynamical system.

AU - Dykman, Mark

AU - Smelyanskiy, V. N.

AU - Luchinsky, D. G.

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - Stein, N. D.

PY - 1998/4

Y1 - 1998/4

N2 - Fluctuations in a periodically driven overdamped oscillator are studied theoretically and experimentally in the limit of low noise intensity by investigation of their prehistory. It is shown that, for small noise intensity, fluctuations to points in coordinate space that are remote from the stable states occur along paths that form narrow tubes. The tubes are centered on the optimal paths corresponding to trajectories of an auxiliary Hamiltonian system. The optimal paths themselves, and the tubes of paths around them, are visualized through measurements of the prehistory probability distribution for an electronic model. Some general features of fluctuations in nonequilibrium systems, such as singularities in the pattern of optimal paths, the corresponding nondifferentiability of the generalized nonequilibrium potential, and the feasibility of their experimental investigation, are discussed.

AB - Fluctuations in a periodically driven overdamped oscillator are studied theoretically and experimentally in the limit of low noise intensity by investigation of their prehistory. It is shown that, for small noise intensity, fluctuations to points in coordinate space that are remote from the stable states occur along paths that form narrow tubes. The tubes are centered on the optimal paths corresponding to trajectories of an auxiliary Hamiltonian system. The optimal paths themselves, and the tubes of paths around them, are visualized through measurements of the prehistory probability distribution for an electronic model. Some general features of fluctuations in nonequilibrium systems, such as singularities in the pattern of optimal paths, the corresponding nondifferentiability of the generalized nonequilibrium potential, and the feasibility of their experimental investigation, are discussed.

U2 - 10.1142/S0218127498000541

DO - 10.1142/S0218127498000541

M3 - Journal article

VL - 8

SP - 747

EP - 754

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

SN - 0218-1274

IS - 4

ER -