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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 - Bistable oscillator dynamics driven by nonwhite noise.
AU - Fronzoni, L.
AU - Grigolinui, P.
AU - Hanggi, P.
AU - Moss, F.
AU - McClintock, Peter V. E.
PY - 1986/5
Y1 - 1986/5
N2 - We obtain here an approximate, nonlinear Fokker-Planck-type equation which offers an improved model for two-dimensional nonequilibrium, bistable flows driven by exponentially correlated Gaussian noise. The new model accurately predicts the renormalization of the phase-space statistical densities P(x,v) with correlation time. The theory is tested for accuracy by both analog electronic and digital simulations of a damped oscillator with a bistable potential, driven by additive, colored noise. For large noise strengths, the improved theoretical scheme is applicable for small noise correlation times tau, but becomes increasingly better for small noise strengths where its accuracy extends even tolarge noise correlation times. The crossover to overdamped motion is also discussed.
AB - We obtain here an approximate, nonlinear Fokker-Planck-type equation which offers an improved model for two-dimensional nonequilibrium, bistable flows driven by exponentially correlated Gaussian noise. The new model accurately predicts the renormalization of the phase-space statistical densities P(x,v) with correlation time. The theory is tested for accuracy by both analog electronic and digital simulations of a damped oscillator with a bistable potential, driven by additive, colored noise. For large noise strengths, the improved theoretical scheme is applicable for small noise correlation times tau, but becomes increasingly better for small noise strengths where its accuracy extends even tolarge noise correlation times. The crossover to overdamped motion is also discussed.
U2 - 10.1103/PhysRevA.33.3320
DO - 10.1103/PhysRevA.33.3320
M3 - Journal article
VL - 33
SP - 3320
EP - 3327
JO - Physical review a
JF - Physical review a
SN - 1050-2947
IS - 5
ER -