Analytical solution of a multidimensional Langevin equation at high friction limits and probability passing over a two-dimensional saddle

XING Yong-Zhong

doi:10.1088/1674-1137/33/4/006

Chinese Physics C> 2009, Vol. 33> Issue(4) : 269-273 DOI: 10.1088/1674-1137/33/4/006

Analytical solution of a multidimensional Langevin equation at high friction limits and probability passing over a two-dimensional saddle

XING Yong-Zhong ^,

Physics Department of Tianshui Normal University, Tianshui 741000, ChinaInstitute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, ChinaCenter of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The analytical solution of a multidimensional Langevin equation at the overdamping limit is obtained and the probability of particles passing over a two-dimensional saddle point is discussed. These results may break a path for studying further the fusion in superheavy elements synthesis.

References

[1]

. Mayer M G, Jensen J H D. Elementary Theory Shell Struc-ture. Wiley, New York, 19552. Hofmann S. Rep Prog. Phys., 1998, 61: 6393. Oganessian Y T et al. Phys. Rev. Lett., 1999, 83: 3154;Morita K et al. Nucl. Phys. A, 2004, 734: 1014. Schmidt K H, Morawek W. Rep. Prog. Phys., 1991, 72:9495. Quint A B et al. Z. Phys. A, 1993, 346: 119; Reisdorf W.J. Phys. G, 1994, 20: 12976. BAO J D, ZHUO Y Z. Phys. Rev. C, 2003, 67: 064606;Boilley D, Abe Y, BAO J D. Eur. Phys. J. A, 2003, 18:6277. BAO J D, Boilley D. Nucl. Phys. A, 2002, 707: 478. Abe Y, Bouriquet B, SHEN Cai-Wan et al. Nucl. Phys. A,2003, 722: 241; Erratumibid. A, 2004, 733: 3219. SHEN Cai-Wan, Kosenko G, Abe Y. Phys. Rev. C, 2002,66: 06160210. Abe Y, Ayik S, Reinhard P G, Suraud E. Phys. Rep. C,1996, 275: 49, and references therein11. Abe Y, Boilley D, Giraud B G, Wada T. Phys. Rev. E,2002, 61: 112512. Mazo R M, Brownian Motion. Fluctuations, Dynamics and Applications. Oxford Univ. Press, 2002. 9813. Kosenko G, SHEN C W, Abe Y. J. Nucl. Radiochem. Sci.,2002, 3: 1914. WANG C Y, JIA Y, BAO J D. Phys. Rev. C, 2008, 77:02460315. Abe Y, Boilley D, Kosenko G, SHEN Cai-Wan. Acta Phys-ica Polonica B, 2003, 34: 2091

[1]	Kai Zhou , Yun-Tao Song , Kai-Zhong Ding , Jian Ge , Kai Yao . Analytical solution of transverse oscillation in cyclotron using LP method. Chinese Physics C, 2018, 42(3): 037001. doi: 10.1088/1674-1137/42/3/037001
[2]	Ran Huang , Yuan He , Zhi-Jun Wang , Wei-Ming Yue , An-Dong Wu , Yue Tao , Qiong Yang , Cong Zhang , Hong-Wei Zhao , Zhi-Hui Li . Analytical solution to the transient beam loading effects of a superconducting cavity. Chinese Physics C, 2017, 41(10): 107001. doi: 10.1088/1674-1137/41/10/107001
[3]	D. Naderi , M. Salimi . Investigation of fission fragments average spin based on four dimensional Langevin dynamical model. Chinese Physics C, 2017, 41(2): 024104. doi: 10.1088/1674-1137/41/2/024104
[4]	Xu-Dong Ju , Ming-Yi Dong , Yi-Chen Zhao , Chuan-Xing Zhou , Qun Ou-Yang . Design and optimization of resistive anode for a two-dimensional imaging GEM detector. Chinese Physics C, 2016, 40(8): 086004. doi: 10.1088/1674-1137/40/8/086004
[5]	H. Eslamizadeh . Two-dimensional Langevin modeling of fission dynamics of the excited compound nuclei ¹⁸⁸Pt, ²²⁷Pa and ²⁵¹Es. Chinese Physics C, 2016, 40(2): 024103. doi: 10.1088/1674-1137/40/2/024103
[6]	S. Zarrinkamar , A. A. Rajabi , B. H. Yazarloo , H. Hassanabadi . An approximate solution of the DKP equation under the Hulthén vector potential. Chinese Physics C, 2013, 37(2): 023101. doi: 10.1088/1674-1137/37/2/023101
[7]	YAN Qiu-Rong , ZHAO Bao-Sheng , LIU Yong-An , YANG Hao , SHENG Li-Zhi , WEI Yong-Lin . Two-dimensional photon counting imaging detector based on a Vernier position sensitive anode readout. Chinese Physics C, 2011, 35(4): 368-373. doi: 10.1088/1674-1137/35/4/009
[8]	PENG Jing , XING Li-Feng , MENG Jie . Shears mechanism in two-dimensional cranking relativistic mean field approach. Chinese Physics C, 2009, 33(S1): 15-17. doi: 10.1088/1674-1137/33/S1/005
[9]	WANG Kun , MA Yu-Gang , ZHENG Qing-Shan , CAI Xiang-Zhou , FANG De-Qing , FU Yao , LU Guang-Cheng , TIAN Wen-Dong , WANG Hong-Wei . Temperature dependent fission fragment distribution in the Langevin equation. Chinese Physics C, 2009, 33(S1): 119-122. doi: 10.1088/1674-1137/33/S1/038
[10]	WANG Xiao-Hu , ZHU Qi-Ming , CHEN Yuan-Bo , CHEN Chang , LIU Rong-Guang , WANG Lan , JIN Yan , MA Xiao-Yan , JIANG Shan . Design and experimental study of a two-dimensional position sensitive X-ray detector. Chinese Physics C, 2008, 32(11): 903-907. doi: 10.1088/1674-1137/32/11/011
[11]	WEI Gao-Feng , LONG Chao-Yun , LONG Zheng-Wen , QIN Shui-Jie . Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space. Chinese Physics C, 2008, 32(4): 247-250. doi: 10.1088/1674-1137/32/4/001
[12]	Zheng Taiyu , Li Changsong . Massive Fermion Loop Contribution to Casimir Force in Two-Dimensional Case. Chinese Physics C, 1996, 20(S1): 55-59.
[13]	Lin Hai , Zhang Yang , Liu Lianshou . Analytical Study of Two-Dimensional Self-Affine Fractal in Multiparticle Production of High Energy Collisions. Chinese Physics C, 1996, 20(S1): 71-83.
[14]	Zhao Peiying . Analytical Approach to the Two-dimensional 0(3) Non-linear σ Model. Chinese Physics C, 1995, 19(S2): 151-155.
[15]	Zhong Yunxiao , Hu Jimin . Fission Probability Calculation by Solving Fokker-PIank Equation with Variation Method. Chinese Physics C, 1994, 18(Z1): 79-86.
[16]	Zhong Yunxiao , Hu Jimin . Study of the Multidimensional Kramers Equation. Chinese Physics C, 1994, 18(S4): 415-420.
[17]	Di Yaomin , Ha Yiming , Fu Deji , Xu Gongou . The Solution of Dynamical Equation of Motion of IBM-II in Continuous Variable Representation. Chinese Physics C, 1993, 17(S2): 133-142.
[18]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.
[19]	BAO Jing-Dong , ZHU Yi-Zhong . CALCULATION OF THE KINETIC-ENERGY DISTRIBUTIONS OF FISSION-FRAGMENTS FROM MONTE-CARLO SIMULATION TO THE FOUR-DIMENSIONAL LANGEVIN EQUATION. Chinese Physics C, 1989, 13(11): 1023-1031.
[20]	Xue Shesheng . A Mean Field Solution of the Fokker-Planck Equation in Lattice Gauge Theories. Chinese Physics C, 1988, 12(S2): 117-122.

Access

Get Citation

XING Yong-Zhong. Analytical solution of a multidimensional Langevin equation at high friction limits and probability passing over a two-dimensional saddle[J]. Chinese Physics C, 2009, 33(4): 269-273. doi: 10.1088/1674-1137/33/4/006

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-12-17
Revised: 2008-12-09

Article Metric

Article Views(2755)
PDF Downloads(625)
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

Analytical solution of a multidimensional Langevin equation at high friction limits and probability passing over a two-dimensional saddle

Corresponding author: XING Yong-Zhong,

Physics Department of Tianshui Normal University, Tianshui 741000, ChinaInstitute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, ChinaCenter of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China

Received Date: 2007-12-17

Accepted Date: 2008-12-09

Available Online: 2009-04-05

Abstract:

The analytical solution of a multidimensional Langevin equation at the overdamping limit is obtained and the probability of particles passing over a two-dimensional saddle point is discussed. These results may break a path for studying further the fusion in superheavy elements synthesis.

HTML

Reference (1)

Analytical solution of a multidimensional Langevin equation at high friction limits and probability passing over a two-dimensional saddle

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article