THE RATE OF ESCAPE OF BROWNIAN PARTICLE OVER DOUBLY PEAKED POTENTIAL BARRIERS

ZHONG Yun-Xiao; CHEN Jun-Zhen

Chinese Physics C> 1985, Vol. 9> Issue(3) : 356-361

THE RATE OF ESCAPE OF BROWNIAN PARTICLE OVER DOUBLY PEAKED POTENTIAL BARRIERS

ZHONG Yun-Xiao ^, ,
CHEN Jun-Zhen

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Abstract：
The rate of escape of Brownian particle over doubly peaked potential barriers is calculated by the exact solution of the Smoluchowski equation. It is found that the rate depends strongly on the form of the potential barriers.

References

[1]	S. Chandrasekhar, Rev. Mod. Phys., 15(1943), 1.[2] L. E. Reichl, J. Chem. Phys., 77(1982), 4199.[3] 钟云霄, 高能物理与核物理, 9(1985), 108.

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ZHONG Yun-Xiao and CHEN Jun-Zhen. THE RATE OF ESCAPE OF BROWNIAN PARTICLE OVER DOUBLY PEAKED POTENTIAL BARRIERS[J]. Chinese Physics C, 1985, 9(3): 356-361.

ZHONG Yun-Xiao and CHEN Jun-Zhen. THE RATE OF ESCAPE OF BROWNIAN PARTICLE OVER DOUBLY PEAKED POTENTIAL BARRIERS[J]. Chinese Physics C, 1985, 9(3): 356-361. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

THE RATE OF ESCAPE OF BROWNIAN PARTICLE OVER DOUBLY PEAKED POTENTIAL BARRIERS

ZHONG Yun-Xiao ^,
CHEN Jun-Zhen

Corresponding author: ZHONG Yun-Xiao,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-06-05

Abstract: The rate of escape of Brownian particle over doubly peaked potential barriers is calculated by the exact solution of the Smoluchowski equation. It is found that the rate depends strongly on the form of the potential barriers.