Fast Ion–Ion Collisions Simulation in Particle-in-Cell Method

Complete treatment of collisions in problems related to the development of plasma confinement systems is a problematic task. The article presents a specialized algorithm for the particle-in-cell method aimed to fast simulation of pairwise collisions without the use of trigonometric functions. The br...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023, Vol.44 (1), p.26-32
Main Authors: Chernoshtanov, I., Efimova, A., Soloviev, A., Vshivkov, V.
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Analysis
Atomic collisions
Gas dynamics
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Particle in cell technique
Plasma control
Probability Theory and Stochastic Processes
Trigonometric functions
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Summary:Complete treatment of collisions in problems related to the development of plasma confinement systems is a problematic task. The article presents a specialized algorithm for the particle-in-cell method aimed to fast simulation of pairwise collisions without the use of trigonometric functions. The brief essence of the algorithm is that any two particles in a cell can interact (regardless of the direction of velocities and distance), which differs significantly from the algorithms used in solving the problems of gas dynamics. The developed algorithm is compared with other algorithms, including classical ones.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223010080