Time-Dependent Solutions of Fokker-Planck Equation of Maximum Reduced Air-Sea Coupling Climate Model

摘要

The time-dependent solution of reduced air-sea coupling stochastic-dynamic model is accurately obtained using the Fokker-Planck equation and the quantum mechanical method. The analysis of the time-dependent solution suggests that when the climate system is in ground state, the behavior of the system appears a Brownian movement, thus reasoning the foothold of Hasselmann's stochastic climatic model. When the system is in first excitation state, the motion of the system exhibits a form of time-decaying, or under certain condition a periodic oscillation with the main period being 2.3 years. At last, the results are used to discuss the impact of the doubling of carbon dioxide on Climate.