A Coulomb collision algorithm for weighted particle simulations

Details A Coulomb collision algorithm for weighted particle simulations A Coulomb collision algorithm for weighted particle simulations

Aug 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994georl..21.1735m&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 21, no. 16, p. 1735-1738

Physics

13

Algorithms, Atmospheric Models, Charged Particles, Conservation Laws, Coulomb Collisions, Earth Ionosphere, Monte Carlo Method, Plasmas (Physics), Plasmasphere, Weight (Mass), Computerized Simulation, Mathematical Models, Momentum Theory, Particle In Cell Technique, Plasma Temperature, Relaxation Time, Transport Theory

Scientific paper

A binary Coulomb collision algorithm is developed for weighted particle simulations employing Monte Carlo techniques. Charged particles within a given spatial grid cell are pair-wise scattered, explicitly conserving momentum and implicitly conserving energy. A similar algorithm developed by Takizuka and Abe (1977) conserves momentum and energy provided the particles are unweighted (each particle representing equal fractions of the total particle density). If applied as is to simulations incorporating weighted particles, the plasma temperatures equilibrate to an incorrect temperature, as compared to theory. Using the appropriate pairing statistics, a Coulomb collision algorithm is developed for weighted particles. The algorithm conserves energy and momentum and produces the appropriate relaxation time scales as compared to theoretical predictions. Such an algorithm is necessary for future work studying self-consistent multi-species kinetic transport.

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