Stochastic Equations of Motion for the Linear Response.II.Simple Example : An Extended Kubo-Anderson Model

概要

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An extended model of the Kubo-Anderson oscillator with random frequencymodulation under the action of an external driving force is considered. The time-convolutionless and time-convolution equations of motion for the averagedlinear response of the complex coordinate of this oscillator to the driving forceare compared with the exact equation under the assumption that the randomprocess of the frequency is Gaussian. It is shown that the time<onvolutionlessequation coincides with the exact one up to fourth order in powers of the randommodulation, and that the time-convolution equation coincides with the exactone in the narrowing limit. For the Gaussian-Markoffian process, the exactsolution is shown to coincide with the solution of the time-convolution equationup to second order in powers of the random modulation in the narrowing limit,but not for small times.
社団法人日本物理学会の論文
1983-12-15