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From the nonlinear Fokker-Planck equation to the Vlasov description and back: Confined interacting particles with drag
(American Physical Society, 2018-02)
Nonlinear Fokker-Planck equations endowed with power-law diffusion terms have proven to be valuable tools for the study of diverse complex systems in physics, biology, and other fields. The nonlinearity appearing in these ...
Existence and stability of steady states solutions of flat Vlasov-Poisson system with a central mass density
(Universidad de Chile, 2022)
We study a Newtonian model, that allows us to describe some phenomena in stellar dynamics. This model is described by a partial differential equation known as the Vlasov equation or the Liouville equation, whose solutions ...
Numerical simulations using Eulerian schemes for the Vlasov-Poisson model
(World Scientific, 2021-11)
The Vlasov equation describes the temporal evolution of the distribution function of particles in a collisionless plasma and, if magnetic fields are negligible, the mean electric field is prescribed by Poisson equation. ...
Stochastic control with delayed information and related nonlinear master equation
(SIAM, 2019)
In this paper we study stochastic control problems with delayed information, that is, the control at time t can depend only on the information observed before time t - h for some delay parameter h. Such delay occurs ...
Kinetic ion effect on geodesic acoustic Alfven modes in tokamaks
(AMER INST PHYSICS, 2009)
Using a quasitoroidal set of coordinates with coaxial circular magnetic surfaces, the Vlasov equation is solved for collisionless plasmas, and the dielectric tensor is found for large aspect ratio tokamaks in a low frequency ...
Quantum generalized Vlasov equation
(1995)
An electronic system is considered as a quantum plasma characterized by a plasma parameter γ0 ⪡ 1, over short times. Using the Dynamics of Correlations (a many-body theory based on the Liouville-von Neumann equation in the ...
Solving procedure for a 25-diagonal coefficient matrix: Direct numerical solutions of the three-dimensional linear Fokker-Planck equation
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2006)
A generalized Vlasov equation
(Physica A: Statistical Mechanics and its Applications, 1989)
A generalized Vlasov equation
(Physica A: Statistical Mechanics and its Applications, 1989)
A two-spacial dimension electronic system characterized by a plasma parameter F ~< 1 is
analyzed; then, by using a rigorous non-equilibrium statistical mechanical theory, the
evolution of distribution function is considered. ...