scholarly journals An adaptive, conservative 0D-2V multispecies Rosenbluth–Fokker–Planck solver for arbitrarily disparate mass and temperature regimes

2016 ◽  
Vol 318 ◽  
pp. 391-420 ◽  
Author(s):  
W.T. Taitano ◽  
L. Chacón ◽  
A.N. Simakov
Keyword(s):  
Temperature Regimes ◽  
Disparate Mass ◽  
Fokker Planck

THE ASYMPTOTICS OF COLLISION OPERATORS FOR TWO SPECIES OF PARTICLES OF DISPARATE MASSES

1996 ◽  
Vol 06 (03) ◽  
pp. 405-436 ◽  
Author(s):  
PIERRE DEGOND ◽  
BRIGITTE LUCQUIN-DESREUX
Keyword(s):  
Time Scales ◽  
Planck Equation ◽  
Distribution Functions ◽  
Relaxation Phenomenon ◽  
Mass Ratio ◽  
Homogeneous Case ◽  
Fokker Planck Equation ◽  
Disparate Mass ◽  
Fokker Planck

We analyze the dynamics of a disparate mass binary gas or of a plasma in the homogeneous case, at various time scales, in the framework of the Boltzmann or Fokker–Planck equation. We intend to provide a rigorous foundation to the epochal relaxation phenomenon first pointed out by Grad. From general basic physical hypotheses, we derive the scaling of the equations as a function of the mass ratio of the particles, and we expand the collision operators in powers of this mass ratio. Then, Hilbert or Chapman–Enskog type expansions of the distribution functions allow us to investigate the dynamics of the mixture at various time scales, and we verify that the behavior of the obtained models is coherent with Grad's hypothesis.

AN APPLICATION OF FOKKER–PLANCK EQUATION TO JOSEPHSON JUNCTION

1989 ◽  
Vol 9 (1) ◽  
pp. 109-120
Author(s):  
G. Liao ◽  
A.F. Lawrence ◽  
A.T. Abawi
Keyword(s):  
Josephson Junction ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
Fokker Planck

Convergence to stationary measures in nonlinear Fokker—Planck—Kolmogorov equations

2018 ◽  
Vol 482 (4) ◽  
pp. 369-374
Author(s):  
V. Bogachev ◽  
◽  
M. Roeckner ◽  
S. Shaposhnikov ◽  
◽  
...  
Keyword(s):  
Kolmogorov Equations ◽  
Stationary Measures ◽  
Fokker Planck
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