全球气侯长期振动的Fokker-Planck方程及其求解

FOKKER-PLANCK EQUATION OF LONG-TERM GLOBAL CLIMATIC FLUCTUATION AND ITS SOLUTION

中文关键词:  零维气候模式  Fokker-Planck方程  矩阵连分法

英文关键词:Zero-dimensional climate model  Fokker-Planck equation  Matrix continued-fraction method

中文摘要:

      假定行星反照率为温度的平方关系,导出了零维随机动力气候模式。对相应的Fokker Planck方程用矩阵连分法求解,得到了10万年,4万年,2万年气候周期的本征值和本征向量。数值计算表明,在随机噪声强度D=1.95时,10万年气候振动具有最大的振幅,即Milan kovitch理论无法解释的10万年周期。

英文摘要:

      Assuming the planetary albedo is equal to a temperature square.a zero-dimensional stochastic-dynamic climate model has been suggested.The appropriate Fokker-Planck equation is solved by use of the matrix continude-fraction method,eigen values and eigen vectors of 100000a.40000a and 20000a climatic periods are obtained.It is shown from the numerical computation that the climatic fluctuation of 100000a has maximum amplitude when taking intensity of random noise D=1.95.the fluctuation is not explained with the Milankovitch theorv.