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 ...

Continuous time random walks, which generalize random walks by adding a stochastic time between jumps, provide a useful description of stochastic transport at mesoscopic scales. The continuous time ...

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 ...

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 ...