Resonant wave interaction with random forcing and dissipation

摘要

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. [References: 9]