### Low Discrepancy Particle Simulation of Collisionless Flows

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Matthew McNenly, University of Michigan
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Particle-In-Cell (PIC) simulations of collisionless flows with local background source terms are often used in plasma modeling. The plasma simulations use computational particles to approximate the kinetic behavior and depletion due to ionization of the molecules. Computational particles are selected for depletion in each cell using the Monte Carlo Collision (MCC) model based on the background cell plasma concentration and ionization rates. Pseudo-random Number Generators (PRNG) are typically used when approximating the wall and boundary interactions and ionization statistics. The drawback to the Monte Carlo approach stems from its dependence on the PRNG which results in a probabilistic error bound of ^{ }^{-½})^{ -1}*(logN)^{s}),

**Abstract Author(s): **Matthew J. McNenly, Iain D. Boyd