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