scholarly journals Solution of the Fokker-Planck equation with a logarithmic potential and mixed eigenvalue spectrum

2017 ◽  
Vol 58 (9) ◽  
pp. 093301 ◽  
Author(s):  
F. Guarnieri ◽  
W. Moon ◽  
J. S. Wettlaufer
Keyword(s):  
Planck Equation ◽  
Logarithmic Potential ◽  
Eigenvalue Spectrum ◽  
Fokker Planck Equation ◽  
Mixed Eigenvalue ◽  
Fokker Planck

scholarly journals How to solve Fokker-Planck equation treating mixed eigenvalue spectrum?

2013 ◽  
Vol 16 (1) ◽  
pp. 13002 ◽  
Author(s):  
Brics ◽  
Kaupuzs ◽  
Mahnke
Keyword(s):  
Planck Equation ◽  
Eigenvalue Spectrum ◽  
Fokker Planck Equation ◽  
Mixed Eigenvalue ◽  
Fokker Planck

scholarly journals Method of variable separation for investigating exact solutions and dynamical properties of the time-fractional Fokker-Planck equation

2021 ◽  
Author(s):  
Xinsong Yang ◽  
Weiguo Rui ◽  
Fen Chen
Keyword(s):  
Exact Solutions ◽  
Planck Equation ◽  
Logarithmic Potential ◽  
Linear Potential ◽  
Variable Separation ◽  
External Force Field ◽  
Fokker Planck Equation ◽  
Dynamical Properties ◽  
Potential Harmonic ◽  
Fokker Planck

Abstract Based on the idea of variable separation, the time-fractional Fokker-Planck equation with external force field is studied by using the property of Mittag-Leffler function and some special algorithm skills. In the cases of various external potential functions such as linear potential, harmonic potential, logarithmic potential, exponential potential, and quartic potential, exact solutions and dynamical properties of the above mentioned equation is investigated. The some interesting dynamical behaviors and phenomena are discovered. The profiles of some representative exact solutions are illustrated by 3D-graphs.

scholarly journals Solution of the Fokker-Planck Equation with a Logarithmic Potential

2011 ◽  
Vol 145 (6) ◽  
pp. 1524-1545 ◽  
Author(s):  
A. Dechant ◽  
E. Lutz ◽  
E. Barkai ◽  
D. A. Kessler
Keyword(s):  
Planck Equation ◽  
Logarithmic Potential ◽  
Fokker Planck Equation ◽  
Fokker Planck

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

The Fokker-Planck equation

1998 ◽  
Vol 168 (4) ◽  
pp. 475 ◽  
Author(s):  
A.I. Olemskoi
Keyword(s):  
Planck Equation ◽  
Fokker Planck Equation ◽  
Fokker Planck

Numerical Solution of the Fokker-Planck Equation by Spectral Collocation and Finite-Element Methods for Stochastic Magnetization Dynamics

2021 ◽  
pp. 1-1
Author(s):  
Valentino Scalera ◽  
Patrizio Ansalone ◽  
Salvatore Perna ◽  
Claudio Serpico ◽  
Massimiliano d'Aquino
Keyword(s):  
Finite Element ◽  
Numerical Solution ◽  
Finite Element Methods ◽  
Planck Equation ◽  
Magnetization Dynamics ◽  
Spectral Collocation ◽  
Fokker Planck Equation ◽  
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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