Equilibrium for Compton-scattering media

1992 ◽  
Vol 70 (12) ◽  
pp. 1312-1313
Author(s):  
Shao-Ping Zhu
Keyword(s):  
Initial Data ◽  
Equilibrium State ◽  
Compton Scattering ◽  
Planck Equation ◽  
Bose Condensation ◽  
Scattering Media ◽  
Fokker Planck Equation ◽  
H Theorem ◽  
Fokker Planck

The generalized H theorem is proved for Compton-scattering media. Using the H theorem, we discuss the equilibrium state for Compton-scattering media. We verify rigorously that Bose condensation, which was first found based on the Fokker–Planck equation, does exist for some initial data.

scholarly journals Stability analysis of implicit time discretizations for the Compton-scattering Fokker–Planck equation

2009 ◽  
Vol 228 (16) ◽  
pp. 5933-5960 ◽  
Author(s):  
Jeffery D. Densmore ◽  
James S. Warsa ◽  
Robert B. Lowrie ◽  
Jim E. Morel
Keyword(s):  
Stability Analysis ◽  
Compton Scattering ◽  
Planck Equation ◽  
Implicit Time ◽  
Fokker Planck Equation ◽  
Fokker Planck

scholarly journals Stationary solution and H theorem for a generalized Fokker-Planck equation

2021 ◽  
Vol 104 (3) ◽  
Author(s):  
Max Jauregui ◽  
Anna L. F. Lucchi ◽  
Jean H. Y. Passos ◽  
Renio S. Mendes
Keyword(s):  
Stationary Solution ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
H Theorem ◽  
Fokker Planck

scholarly journals Time-changed fractional Ornstein-Uhlenbeck process

2020 ◽  
Vol 23 (2) ◽  
pp. 450-483 ◽  
Author(s):  
Giacomo Ascione ◽  
Yuliya Mishura ◽  
Enrica Pirozzi
Keyword(s):  
Planck Equation ◽  
Uhlenbeck Process ◽  
Fokker Planck Equation ◽  
Ornstein Uhlenbeck Process ◽  
Fokker Planck

AbstractWe define a time-changed fractional Ornstein-Uhlenbeck process by composing a fractional Ornstein-Uhlenbeck process with the inverse of a subordinator. Properties of the moments of such process are investigated and the existence of the density is shown. We also provide a generalized Fokker-Planck equation for the density of the process.

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