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Time-dependent solutions of the Fokker–Planck equation of maximally reduced air–sea coupling climate model

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  • Feng, Guolin
  • Gao, Xinquan
  • Dong, Wenjie
  • Li, Jianping

Abstract

The time-dependent solutions of a reduced air–sea coupling stochastic-dynamic model are obtained using the Fokker–Planck equation and the quantum mechanical method. The analysis of the time-dependent solutions suggests that when the climate system is in the ground state, the system behaves in a Brownian motion, thus theoretically revealing the foothold of Hasselmann’s stochastic climate model; when the system is in the first excitation state, it evolves in a form of time-decaying, or a 2.3-year periodic oscillation under certain condition. At last, the results are used to discuss the impact of the doubling of carbon dioxide concentration on climate system.

Suggested Citation

  • Feng, Guolin & Gao, Xinquan & Dong, Wenjie & Li, Jianping, 2008. "Time-dependent solutions of the Fokker–Planck equation of maximally reduced air–sea coupling climate model," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 487-495.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:2:p:487-495
    DOI: 10.1016/j.chaos.2006.09.036
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