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Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators.

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Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators. / Dykman, Mark; Mannella, R.; McClintock, Peter V. E. et al.
In: Physical review a, Vol. 42, No. 12, 12.1990, p. 7041-7049.

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

Harvard

Dykman, M, Mannella, R, McClintock, PVE, Soskin, SM & Stocks, NG 1990, 'Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators.', Physical review a, vol. 42, no. 12, pp. 7041-7049. https://doi.org/10.1103/PhysRevA.42.7041

APA

Dykman, M., Mannella, R., McClintock, P. V. E., Soskin, S. M., & Stocks, N. G. (1990). Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators. Physical review a, 42(12), 7041-7049. https://doi.org/10.1103/PhysRevA.42.7041

Vancouver

Dykman M, Mannella R, McClintock PVE, Soskin SM, Stocks NG. Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators. Physical review a. 1990 Dec;42(12):7041-7049. doi: 10.1103/PhysRevA.42.7041

Author

Dykman, Mark ; Mannella, R. ; McClintock, Peter V. E. et al. / Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators. In: Physical review a. 1990 ; Vol. 42, No. 12. pp. 7041-7049.

Bibtex

@article{f262f8b552dc417b861c52c5d4f11a12,
title = "Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators.",
abstract = "The spectral densities of the fluctuations of noise-driven underdamped nonlinear oscillators are discussed with particular reference to the large class of systems whose eigenfrequencies vary nonmonotonically with energy. It is shown by analog electronic experiments and theoretically that, astonishingly, the widths of their spectral peaks can sometimes decrease with increasing noise intensity T. The specific system studied, as an example, is the single-well Duffing oscillator in a constant homogeneous field. An explicit expression is derived in terms of T and a field parameter for the shape of the spectral peak. It is shown to be in good agreement with experiment. The possibility of observing such spectral features for localized and resonant vibrations of impurities in solids is discussed.",
author = "Mark Dykman and R. Mannella and McClintock, {Peter V. E.} and Soskin, {Stanislav M.} and Stocks, {N. G.}",
year = "1990",
month = dec,
doi = "10.1103/PhysRevA.42.7041",
language = "English",
volume = "42",
pages = "7041--7049",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "12",

}

RIS

TY - JOUR

T1 - Noise-induced narrowing of peaks in the power spectra of underdamped nonlinear oscillators.

AU - Dykman, Mark

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - Soskin, Stanislav M.

AU - Stocks, N. G.

PY - 1990/12

Y1 - 1990/12

N2 - The spectral densities of the fluctuations of noise-driven underdamped nonlinear oscillators are discussed with particular reference to the large class of systems whose eigenfrequencies vary nonmonotonically with energy. It is shown by analog electronic experiments and theoretically that, astonishingly, the widths of their spectral peaks can sometimes decrease with increasing noise intensity T. The specific system studied, as an example, is the single-well Duffing oscillator in a constant homogeneous field. An explicit expression is derived in terms of T and a field parameter for the shape of the spectral peak. It is shown to be in good agreement with experiment. The possibility of observing such spectral features for localized and resonant vibrations of impurities in solids is discussed.

AB - The spectral densities of the fluctuations of noise-driven underdamped nonlinear oscillators are discussed with particular reference to the large class of systems whose eigenfrequencies vary nonmonotonically with energy. It is shown by analog electronic experiments and theoretically that, astonishingly, the widths of their spectral peaks can sometimes decrease with increasing noise intensity T. The specific system studied, as an example, is the single-well Duffing oscillator in a constant homogeneous field. An explicit expression is derived in terms of T and a field parameter for the shape of the spectral peak. It is shown to be in good agreement with experiment. The possibility of observing such spectral features for localized and resonant vibrations of impurities in solids is discussed.

U2 - 10.1103/PhysRevA.42.7041

DO - 10.1103/PhysRevA.42.7041

M3 - Journal article

VL - 42

SP - 7041

EP - 7049

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 12

ER -