Chinese Physics C > 1985, Vol. 9 > Issue(1): 108-115

THE ESCAPE OF BROWNIAN PARTICLE OVER POTENTIAL BARRIERS

ZHONG Yun-Xiao^,

Peking University

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Abstract：
A convenient method is introduced to calculate the rate of escape of Brownian particle over potential barriers by exact solution of Smoluchowskian equation. This method is applied to calculate the nuclear fission probabilities. The results for four different cases are compared with the results of other theories.

References

[1]

S. Chandrasekhar, Rev Mod Phys., 15(1943). 1.[2] 胡济民、钟云霄, 高能物理与核物理, 4(1980), 368,[3] 吴锡真、卓益忠, 高能物理与核物理, 4(1980), 113,[4] L. E. Reichl, J. Chem. Phys., 77(1982), 4199.[5] J. Schirmer, S. Knaak, G. Sussmann, Nuclear Physics, A119 (1973), 31-44.[6] L. G. Moretto, Phys and Chem of Fission, 1 (1973), 329.

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[19]	Wu Xi-zhen,Zhuo Yi-zhong. STUDYING NUCLEAR FISSION RATE FROM THE POINT OF VIEW OF BROWNIAN MOTION. Chinese Physics C, 1980, 4(1): 113-120.
[20]	ZHU CHONG-YUAN,CHEN SHI. PRODUCTION OFγPARTICLES. Chinese Physics C, 1979, 3(1): 113-116.

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ZHONG Yun-Xiao. THE ESCAPE OF BROWNIAN PARTICLE OVER POTENTIAL BARRIERS[J]. Chinese Physics C, 1985, 9(1): 108-115.

ZHONG Yun-Xiao. THE ESCAPE OF BROWNIAN PARTICLE OVER POTENTIAL BARRIERS[J]. Chinese Physics C, 1985, 9(1): 108-115. shu

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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

THE ESCAPE OF BROWNIAN PARTICLE OVER POTENTIAL BARRIERS

ZHONG Yun-Xiao^,

Corresponding author:ZHONG Yun-Xiao,

Peking University

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1985-02-05

Abstract:A convenient method is introduced to calculate the rate of escape of Brownian particle over potential barriers by exact solution of Smoluchowskian equation. This method is applied to calculate the nuclear fission probabilities. The results for four different cases are compared with the results of other theories.