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A Coulomb collision algorithm for weighted particle simulationsA 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.
Document ID
19950052254
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Miller, Ronald H. (The University of Michigan, Ann Arbor, MI, United States)
Combi, Michael R. (The University of Michigan, Ann Arbor, MI, United States)
Date Acquired
August 16, 2013
Publication Date
August 1, 1994
Publication Information
Publication: Geophysical Research Letters
Volume: 21
Issue: 16
ISSN: 0094-8276
Subject Category
GEOPHYSICS
Funding Number(s)
CONTRACT_GRANT: NAGW-1619
CONTRACT_GRANT: NSF ATM-91-11440
CONTRACT_GRANT: NAGW-3417
Distribution Limits
Public
Copyright
Other