Home > Research > Publications & Outputs > Zero-frequency spectral peaks of underdamped no...

Research

Electronic data

Links

Text available via DOI:

View graph of relations

Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials.

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

Published

Standard

Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials. / Dykman, Mark; Mannella, R.; McClintock, Peter V. E. et al.
In: Physical review a, Vol. 43, No. 4, 02.1991, p. 1701-1708.

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

Harvard

Dykman, M, Mannella, R, McClintock, PVE, Soskin, SM & Stocks, NG 1991, 'Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials.', Physical review a, vol. 43, no. 4, pp. 1701-1708. https://doi.org/10.1103/PhysRevA.43.1701

APA

Dykman, M., Mannella, R., McClintock, P. V. E., Soskin, S. M., & Stocks, N. G. (1991). Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials. Physical review a, 43(4), 1701-1708. https://doi.org/10.1103/PhysRevA.43.1701

Vancouver

Dykman M, Mannella R, McClintock PVE, Soskin SM, Stocks NG. Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials. Physical review a. 1991 Feb;43(4):1701-1708. doi: 10.1103/PhysRevA.43.1701

Author

Dykman, Mark ; Mannella, R. ; McClintock, Peter V. E. et al. / Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials. In: Physical review a. 1991 ; Vol. 43, No. 4. pp. 1701-1708.

Bibtex

@article{5350f4ef143a4e499c9898b683ac2545,
title = "Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials.",
abstract = "The spectral density of the fluctuations of an underdamped, single-well, nonlinear oscillator driven by a random force has been investigated. Electronic analogue experiments have demonstrated the existence of a narrow spectral peak at zero-frequency; such a peak only appears, however, in those cases where the potential is non-centro-symmetric. The evolution of the peak with variation of a parameter characterising the asymmetry of the potential, and with noise intensity, has been investigated both experimentally and theoretically. It is found that the half-width of the peak remains relatively small (of the order of the reciprocal relaxation time) over a broad range of noise intensities. The theory of the peak shape is shown to be in close agreement with experiment. The relationships of the peak to the (apparently similar) zero-frequency peaks observed previously in double-well oscillators, where they are responsible for stochastic resonance, and to the supernarrow spectral peaks found near kinetic phase transitions in periodically driven systems, are discussed.",
author = "Mark Dykman and R. Mannella and McClintock, {Peter V. E.} and Soskin, {Stanislav M.} and Stocks, {N. G.}",
year = "1991",
month = feb,
doi = "10.1103/PhysRevA.43.1701",
language = "English",
volume = "43",
pages = "1701--1708",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Zero-frequency spectral peaks of underdamped nonlinear oscillators with asymmetric potentials.

AU - Dykman, Mark

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - Soskin, Stanislav M.

AU - Stocks, N. G.

PY - 1991/2

Y1 - 1991/2

N2 - The spectral density of the fluctuations of an underdamped, single-well, nonlinear oscillator driven by a random force has been investigated. Electronic analogue experiments have demonstrated the existence of a narrow spectral peak at zero-frequency; such a peak only appears, however, in those cases where the potential is non-centro-symmetric. The evolution of the peak with variation of a parameter characterising the asymmetry of the potential, and with noise intensity, has been investigated both experimentally and theoretically. It is found that the half-width of the peak remains relatively small (of the order of the reciprocal relaxation time) over a broad range of noise intensities. The theory of the peak shape is shown to be in close agreement with experiment. The relationships of the peak to the (apparently similar) zero-frequency peaks observed previously in double-well oscillators, where they are responsible for stochastic resonance, and to the supernarrow spectral peaks found near kinetic phase transitions in periodically driven systems, are discussed.

AB - The spectral density of the fluctuations of an underdamped, single-well, nonlinear oscillator driven by a random force has been investigated. Electronic analogue experiments have demonstrated the existence of a narrow spectral peak at zero-frequency; such a peak only appears, however, in those cases where the potential is non-centro-symmetric. The evolution of the peak with variation of a parameter characterising the asymmetry of the potential, and with noise intensity, has been investigated both experimentally and theoretically. It is found that the half-width of the peak remains relatively small (of the order of the reciprocal relaxation time) over a broad range of noise intensities. The theory of the peak shape is shown to be in close agreement with experiment. The relationships of the peak to the (apparently similar) zero-frequency peaks observed previously in double-well oscillators, where they are responsible for stochastic resonance, and to the supernarrow spectral peaks found near kinetic phase transitions in periodically driven systems, are discussed.

U2 - 10.1103/PhysRevA.43.1701

DO - 10.1103/PhysRevA.43.1701

M3 - Journal article

VL - 43

SP - 1701

EP - 1708

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 4

ER -