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

  • 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.

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

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.

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