scholarly journals Potential symmetry and invariant solutions of Fokker-Planck equation in cylindrical coordinates related to magnetic field diffusion in magnetohydrodynamics including the Hall current

2006 ◽  
Vol 50 (1-2) ◽  
pp. 17-21 ◽  
Author(s):  
A. H. Khater ◽  
D. K. Callebaut ◽  
T. N. Abdelhameed
Keyword(s):  
Magnetic Field ◽  
Hall Current ◽  
Planck Equation ◽  
Invariant Solutions ◽  
Cylindrical Coordinates ◽  
Fokker Planck Equation ◽  
Field Diffusion ◽  
Potential Symmetry ◽  
Fokker Planck

scholarly journals Effect of the Damping on the Magnetization of Antiferromagnetic Nanoparticles in a Presence of an Oblique Magnetic Field

2021 ◽  
pp. 1-7
Author(s):  
Bachir Ouari ◽  
◽  
Malika Madani ◽  
Mohamed Lagraa ◽  
◽  
...  
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Relaxation Times ◽  
Planck Equation ◽  
Dynamic Susceptibility ◽  
Analytic Equation ◽  
Fokker Planck Equation ◽  
Oblique Field ◽  
Oblique Magnetic Field ◽  
Fokker Planck

The magnetization of antiferromagnetic nanoparticles is investigated with the Fokker-Planck equation describing the evolution of the distribution function of the magnetization of an nanoparticle. By solving this equation numerically, the relaxation times, and dynamic susceptibility are calculated for dc field orientations across wide ranges of frequencies, amplitude of the fields and damping. Analytic equation for the dynamic susceptibility is also proposed. It is shown that the damping alters the magnetization in the presence of oblique field applied

scholarly journals Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Jia Zheng
Keyword(s):  
Planck Equation ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Power Series Solution ◽  
Invariant Solutions ◽  
Lie Symmetry Analysis ◽  
Fokker Planck Equation ◽  
Growing Cell ◽  
Cell Population Growth ◽  
Fokker Planck

In this paper, a complete Lie symmetry analysis is performed for a nonlinear Fokker-Planck equation for growing cell populations. Moreover, an optimal system of one-dimensional subalgebras is constructed and used to find similarity reductions and invariant solutions. A new power series solution is constructed via the reduced equation, and its convergence is proved.

Fokker-Planck equation in the presence of a uniform magnetic field

2016 ◽  
Vol 23 (8) ◽  
pp. 082105 ◽  
Author(s):  
Chao Dong ◽  
Wenlu Zhang ◽  
Ding Li
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
Fokker Planck
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