Discrete stochastic charging of aggregate grains.

Dust particles immersed in a plasma environment become charged through the collection of electrons and ions at random times, causing the dust charge to fluctuate about an equilibrium value. Small grains (with radii less than 1 μm) or grains in a tenuous plasma environment are sensitive to single additions of electrons or ions. Here we present a numerical model that allows examination of discrete stochastic charge fluctuations on the surface of aggregate grains and determines the effect of these fluctuations on the dynamics of grain aggregation.

Dynamic least-squares kernel density modeling of Fokker-Planck equations with application to neural population.

The dynamic least-squares kernel density (LSQKD) model [C. Pantano and B. Shotorban, Phys.

Two-fluid approach for direct numerical simulation of particle-laden turbulent flows at small Stokes numbers.

A two-fluid approach is proposed for direct numerical simulation of particle-laden turbulent flows in two-way coupling where the particle Stokes number is small. An Eulerian velocity field is calculated for the particle phase through a truncated series expansion in terms of the velocity and acceleration of the fluid phase [M. R.

Least-squares dynamic approximation method for evolution of uncertainty in initial conditions of dynamical systems.

We describe an approximation method to solve the probability density function transport equation, i.e., the Liouville equation, which is encountered in the evolution of uncertainty of the initial values of dynamical systems.