ON RELIABILITY OF THE LOCALLY HARMONIC APPROXIMATION METHOD FOR SOLVING THE FOKKERPLANCK EQUATION

SUN Zhe-Min; WU Xi-Zhen; FENG Ren-Fa; ZHUO Yi-Zhong; XING Jing-Ru; ZHANG Shu-Fa

Chinese Physics C> 1989, Vol. 13> Issue(9) : 833-836

ON RELIABILITY OF THE LOCALLY HARMONIC APPROXIMATION METHOD FOR SOLVING THE FOKKERPLANCK EQUATION

Institute of Atomic Energy.P.O.Box275,Beijing1 National University of Defense Technology,Changsha

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Abstract：
By comparing the results calculated by the locally harmonic approximation methed and the numerical solution for the FOKKER-PLANCK equation with a nonlinear force,the reliability of the locally harmonic approximation has been examined and discussed in a considerably wide range of nuclear temperature and viscosity.

References

[1]

A. Gavron et al., Phys. Rev.,Lett., 48(1982), .835.[2] H. A. Kramers, Physica, 7(1940), 284.[3] 冯仁发，卓益忠，李君清，高能物理与核物理，8(1984),453.[4] 冯仁发，卓益忠，李君清，原子核物理，6(1984)，113.[5] F.Scheuter, H. Hofmann, Nucl. Phys., A394(1983), 477.[6] H.H.A. Weidenmuler, d. S, Zhang, Phys, Rev，029(1984), 879[7] Z.D. Lu, d. S. Zhang, R. F. Feng, Y, Z. Zhuo, Z. Phys, A, 323(1986), 477.[8] 吴锡真，卓益忠，高能物理与核物理，4(1980),113.[9] 邢静如，张树发，"Fokker-Planck方程的精确解",(1988).[10] W. Z, Wu, Z. X. Li, J. A. Maruhn, W. Greiner and Y. Z. Zhuo, J, of phys., 614(1988), 1049[11] P. Grange et al., Phys. Rev., C34(1986), 209.

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SUN Zhe-Min, WU Xi-Zhen, FENG Ren-Fa, ZHUO Yi-Zhong, XING Jing-Ru and ZHANG Shu-Fa. ON RELIABILITY OF THE LOCALLY HARMONIC APPROXIMATION METHOD FOR SOLVING THE FOKKERPLANCK EQUATION[J]. Chinese Physics C, 1989, 13(9): 833-836.

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Received: 1900-01-01
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

ON RELIABILITY OF THE LOCALLY HARMONIC APPROXIMATION METHOD FOR SOLVING THE FOKKERPLANCK EQUATION

Corresponding author: SUN Zhe-Min,

Institute of Atomic Energy.P.O.Box275,Beijing1 National University of Defense Technology,Changsha

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-09-05

Abstract: By comparing the results calculated by the locally harmonic approximation methed and the numerical solution for the FOKKER-PLANCK equation with a nonlinear force,the reliability of the locally harmonic approximation has been examined and discussed in a considerably wide range of nuclear temperature and viscosity.