Time–Dependent Solution of Fokker–Planck Equation for N Degrees of Freedom and Dynamical Threshold for Compound Nucleus Formation in Symmetric Heavy Ion Reaction

1988 ◽  
Vol 10 (3) ◽  
pp. 291-302
Author(s):  
Wang Shu-nuan ◽  
H.A. Weidenmüller
Keyword(s):  
Compound Nucleus ◽  
Degrees Of Freedom ◽  
Planck Equation ◽  
Heavy Ion ◽  
Time Dependent ◽  
Nucleus Formation ◽  
Fokker Planck Equation ◽  
Compound Nucleus Formation ◽  
Time Dependent Solution ◽  
Fokker Planck

scholarly journals Solution of the Fokker–Planck Equation by Cross Approximation Method in the Tensor Train Format

2021 ◽  
Vol 4 ◽  
Author(s):  
Andrei Chertkov ◽  
Ivan Oseledets
Keyword(s):  
Approximation Method ◽  
Degrees Of Freedom ◽  
Planck Equation ◽  
Low Rank ◽  
Computationally Efficient ◽  
Fokker Planck Equation ◽  
Wide Range ◽  
Machine Learning Applications ◽  
Chebyshev Interpolation ◽  
Fokker Planck

We propose the novel numerical scheme for solution of the multidimensional Fokker–Planck equation, which is based on the Chebyshev interpolation and the spectral differentiation techniques as well as low rank tensor approximations, namely, the tensor train decomposition and the multidimensional cross approximation method, which in combination makes it possible to drastically reduce the number of degrees of freedom required to maintain accuracy as dimensionality increases. We demonstrate the effectiveness of the proposed approach on a number of multidimensional problems, including Ornstein-Uhlenbeck process and the dumbbell model. The developed computationally efficient solver can be used in a wide range of practically significant problems, including density estimation in machine learning applications.

Dynamical hindrance to compound-nucleus formation in heavy-ion reactions

1986 ◽  
Vol 459 (1) ◽  
pp. 145-172 ◽  
Author(s):  
J.P. Blocki ◽  
H. Feldmeier ◽  
W.J. Swiatecki
Keyword(s):  
Compound Nucleus ◽  
Heavy Ion ◽  
Heavy Ion Reactions ◽  
Nucleus Formation ◽  
Compound Nucleus Formation
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