THE ESCAPE OF BROWNIAN PARTICLE OVER POTENTIAL BARRIERS

ZHONG Yun-Xiao

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

THE ESCAPE OF BROWNIAN PARTICLE OVER POTENTIAL BARRIERS

ZHONG Yun-Xiao ^,

Peking University

Abstract
HTML
Reference
Related

PDF

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.

[1]	WU Xiu-Kun , LIN Cheng-Jian , YANG Feng , LIU Zu-Hua , ZHANG Huan-Qiao , ZHANG Chun-Lei , ZHOU Ping . Near-barrier quasi-elastic cross sections and barrier distribution of ³²S+^90,96Zr. Chinese Physics C, 2006, 30(2): 105-107.
[2]	FENG Zhao-Qing , JIN Gen-Ming , ZHANG Feng-Shou , FU Fen , HUANG Xi . Dynamical Study on Fusion Mechanism near Coulomb Barrier. Chinese Physics C, 2005, 29(12): 1157-1161.
[3]	CHEN Bao-Qiu , MA Zhong-Yu . Effect of Proximity Force on Potential Barrier in Fusion Reaction. Chinese Physics C, 2004, 28(10): 1079-1082.
[4]	JIA Ying , LIU Ling , BAO Jing-Dong . Thermal Fission Rate of a Compound Nucleus at High Temperatures. Chinese Physics C, 2003, 27(7): 610-614.
[5]	KANG Shi-Xiu , SUN Xia , YAO Kun , WU Zi-Qin , HUANG Yu-Ying , JU Xin , XIAN Ding-Chang . Measurement and Calculation of Escape Peak in SR-XRF Analysis. Chinese Physics C, 2001, 25(S1): 39-43.
[6]	Lin Chengjian , Xu Jincheng , Zhang Huanqiao , Liu Zuhua , Yang Feng , Lu Lixin . Quasi-elastic Scattering of ¹⁹F+²⁰⁸Pb Systemat Near-and Sub-barrier Energies. Chinese Physics C, 1997, 21(10): 872-880.
[7]	Qian Xing , Jiang Dongxing , Lin Junsong , Liu Daming , Li Ze . Cross Sections of Evaporation Residues of ¹²C＋⁹³Nb in the Vicinity of the Coulomb Barrier. Chinese Physics C, 1995, 19(7): 603-611.
[8]	BAO Jing-Dong . The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(6): 544-548.
[9]	BAO Jing-Dong , ZHUO Yi-Zhong , WU Xi-Zhen . Quantum Correction of the Multidimensional Fission Rate at Finite Temperature. Chinese Physics C, 1993, 17(4): 362-366.
[10]	SHENG Hong , HE Guo-Zhu . An Interpretation of Sub-Barrier Fusion Reaction Based on α Transfer Mechanism. Chinese Physics C, 1993, 17(2): 161-165.
[11]	XIONG Liang-Yue , LONG Qi-Wei . POSITRON DISLOCATION TRAPPING MODEL INCLUDING THE EFFECTS OF DETRAPPING OF POSITRON FROM DISLOCATIONS. Chinese Physics C, 1990, 14(9): 769-776.
[12]	WU Xi-Zhen , LI Zhu-Xia , ZHUO Yi-Zhong . QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION. Chinese Physics C, 1990, 14(4): 345-351.
[13]	SUN Zhe-Min , WU Xi-Zhen , ZHUO Yi-Zhong . STUDY OF QUANTUM AND NON-MARKOVIAN EFFECTS IN BROWNIAN MOTION. Chinese Physics C, 1990, 14(10): 952-960.
[14]	SHEN Chang-Quan , SHEN Pei-Ruo , YE Zong-Nan , LI Xiao-Nan . THE ESCAPE GATING TECHNIQUE FOR A MULTIWIRE PROPORTIONAL CHAMBER. Chinese Physics C, 1989, 13(5): 385-392.
[15]	CHEN Ke-Liang , LIU Guo-Xing , ZHENG Ji-Wen , WANG Su-Fang , FAN Zhi-Guo . MEASUREMENTS OF ANGULAR MOMENTUM EFFECT OF FISSION BARRIER. Chinese Physics C, 1988, 12(5): 658-664.
[16]	ZHONG Yun-Xiao , CHEN Jun-Zhen . THE RATE OF ESCAPE OF BROWNIAN PARTICLE OVER DOUBLY PEAKED POTENTIAL BARRIERS. Chinese Physics C, 1985, 9(3): 356-361.
[17]	FENG Ren-Fa , ZHUO Yi-Zhong , LI Jun-Qing . ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE. Chinese Physics C, 1984, 8(4): 453-460.
[18]	WU XI-ZHEN , ZHUO YI-ZHONG , CHANG XI-ZHEN , YANG YING-HUI , MA ZHONG-YU , FENG REN-FA . CALCULATION OF THE NUCLEAR FISSION RATE BY SOLVING F-P EQUATION NUMERICALLY. Chinese Physics C, 1983, 7(6): 716-723.
[19]	Hu Ji-min , Zhong Yun-xiao . BROWNIAN MOTION MODEL OF THE FISSION PROCESS. Chinese Physics C, 1980, 4(3): 368-373.
[20]	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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2042)
PDF Downloads(504)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

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.