Sherwood 2015

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Computational and theoretical study of discrete particle effect in a one-dimensional plasma based on Krook collisions - in honor of Norman Rostoker

Author: Po-Yen Lai
Requested Type: Poster Only
Submitted: 2015-01-19 20:06:54

Co-authors: L. Chen, Y.R. Lin-Liu, S.H. Chen

Contact Info:
No. 300, Jhongda Rd.
Jhongli District, Taoyuan Ci   32001
Taiwan (R.O.C.)

Abstract Text:
One-dimensional PIC simulations have demonstrated that, in the absence of externally applied particle collisions, the thermal relaxation time due to the discrete particle effect scales with ND**2, where ND is the particle number in a Debye length. The ND**2 scaling is consistent with the prediction based on the Balescu-Lenard-Landau kinetic equation. However, it is found that the thermal relaxation time is anomalously shortened to scale with ND while introducing Krook type collisions in the PIC simulation. In order to understand this enhanced discrete particle effect, we have employed the superposition principle of dressed particles and derived the corresponding modified Balescu-Lenard-Landau kinetic equation based on the Krook type collision operator. In this work, we will present the derivation as well as detailed comparisons between analytically predicted results and direct numerical simulations.

This is a report of work sponsored by Grant No. MOST103-2112-M-008-004 from the Ministry of Science and Technology, Taiwan. The work is also supported by US DoE and ITER-CN Program.


March 16-18, 2015
The Courant Institute, New York University