Young Researchers Workshop:
Multiscale phenomena: modeling, analysis and computation

A Monte Carlo method with negative particles for general binary collisions and application to Coulomb collisions

Bokai Yan

University of California, Los Angeles


In this work we propose a novel negative particle method for the general bilinear collision operators in the spatial homogeneous case and apply it to the Coulomb collisions. This new method successfully reduces the growth of particle numbers from the numerical time scale to the physical time scale for the Coulomb collisions. We also propose a particle resampling method to reduce the particle number to further improve the efficiency. Various numerical simulations are performed to demonstrate the high accuracy and efficiency. This is a joint work with Prof. Russel Caflisch.