In plasma physics, the interaction of radio-frequency waves with a plasma is described by a Fokker-Planck equation with an added quasilinear term. In nonlinear filtering with conditional probability ...

Karl J. Havlak, Harold Dean Victory, Jr. We devise and study a random particle method for approximating Vlasov-Poisson-Fokker-Planck systems. Such a proposed scheme takes into account the fact that ...

We solve the one-dimensional Fokker-Planck equation for radiation belt electrons under the assumption of the conservation of the first and second adiabatic invariants (so-called radial diffusion). We ...

Planck’s constant is one of the most important numbers in science. It describes the relationship between the energy and frequency of an electromagnetic wave in an equation known as the Planck-Einstein ...

Poisson–Nernst–Planck (PNP) models constitute a cornerstone in the mathematical description of ionic transport and electrostatic interactions in diverse physical and biological systems. These models ...