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导出在P表象中含时的线性驱动简并参量放大Fokker-Planck方程,并求其解.在阈值以下或阈值附近,含时驱动Fokker-Planck方程的解与线性理论或阈值附近的微扰理论预言的基本相符.在阈值以上,含时驱动Fokker-Planck方程解的短期行为也与线性近似解相近,但当τ增大后的长期行为完全区别于线性理论的结果.
Derive and solve the Fokker-Planck equation by linearly driving degenerate parameters with time-dependent P appearances. The solutions of the time-driven Fokker-Planck equation and the linear theory or the perturbation theory near the threshold below or near the threshold Above the threshold, the short-term behavior of the time-driven Fokker-Planck equation is also similar to that of the linear approximation, but the long-term behavior after τ increases is completely different from the linear theory.