TY - JOUR
T1 - Resonant wave interaction with random forcing and dissipation
AU - Milewski, Paul A.
AU - Tabak, Esteban G.
AU - Vanden-Eijnden, Eric
PY - 2002/1
Y1 - 2002/1
N2 - A new model for studying energy transfer is introduced. It consists of a "resonant duo" - a resonant quartet where extra symmetries support a reduced subsystem with only two degrees of freedom - where one mode is forced by white noise and the other is damped. This system has a single free parameter: the quotient of the damping coefficient to the amplitude of the forcing times the square root of the strength of the nonlinearity. As this parameter varies, a transition takes place from a Gaussian, high-temperature, near equilibrium regime, to one highly intermittent and non-Gaussian. Both regimes can be understood in terms of appropriate Fokker-Planck equations.
AB - A new model for studying energy transfer is introduced. It consists of a "resonant duo" - a resonant quartet where extra symmetries support a reduced subsystem with only two degrees of freedom - where one mode is forced by white noise and the other is damped. This system has a single free parameter: the quotient of the damping coefficient to the amplitude of the forcing times the square root of the strength of the nonlinearity. As this parameter varies, a transition takes place from a Gaussian, high-temperature, near equilibrium regime, to one highly intermittent and non-Gaussian. Both regimes can be understood in terms of appropriate Fokker-Planck equations.
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U2 - 10.1111/1467-9590.01427
DO - 10.1111/1467-9590.01427
M3 - Article
AN - SCOPUS:0036424937
SN - 0022-2526
VL - 108
SP - 123
EP - 144
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
IS - 1
ER -