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Volume 7, Issue 5
Modeling of Long-Range Intra- and Inter-Species Charged Particle Collisions for PIC Simulations

D. D'Andrea, C.-D. Munz & R. Schneider

DOI: 10.4208/cicp.2009.09.094

Commun. Comput. Phys., 7 (2010), pp. 877-903.

Published online: 2010-07

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  • Abstract

In this paper we present the modelling of elastic intra-species electron-electron and inter-species electron-ion scattering in a plasma on the basis of the Fokker-Planck collision operator. Taking into account the equivalence of this operator with a stochastic differential equation, we propose a Particle-in-Cell based approach for the numerical solution of the Fokker-Planck collision term. As we will see, the introduced numerical concept allows the simulation of the collisional relaxation process in a fully self-consistent fashion.

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@Article{CiCP-7-877, author = {D. D'Andrea, C.-D. Munz and R. Schneider}, title = {Modeling of Long-Range Intra- and Inter-Species Charged Particle Collisions for PIC Simulations}, journal = {Communications in Computational Physics}, year = {2010}, volume = {7}, number = {5}, pages = {877--903}, abstract = {

In this paper we present the modelling of elastic intra-species electron-electron and inter-species electron-ion scattering in a plasma on the basis of the Fokker-Planck collision operator. Taking into account the equivalence of this operator with a stochastic differential equation, we propose a Particle-in-Cell based approach for the numerical solution of the Fokker-Planck collision term. As we will see, the introduced numerical concept allows the simulation of the collisional relaxation process in a fully self-consistent fashion.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2009.09.094}, url = {http://global-sci.org/intro/article_detail/cicp/7658.html} }
TY - JOUR T1 - Modeling of Long-Range Intra- and Inter-Species Charged Particle Collisions for PIC Simulations AU - D. D'Andrea, C.-D. Munz & R. Schneider JO - Communications in Computational Physics VL - 5 SP - 877 EP - 903 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/10.4208/cicp.2009.09.094 UR - https://global-sci.org/intro/article_detail/cicp/7658.html KW - AB -

In this paper we present the modelling of elastic intra-species electron-electron and inter-species electron-ion scattering in a plasma on the basis of the Fokker-Planck collision operator. Taking into account the equivalence of this operator with a stochastic differential equation, we propose a Particle-in-Cell based approach for the numerical solution of the Fokker-Planck collision term. As we will see, the introduced numerical concept allows the simulation of the collisional relaxation process in a fully self-consistent fashion.

D. D'Andrea, C.-D. Munz and R. Schneider. (2010). Modeling of Long-Range Intra- and Inter-Species Charged Particle Collisions for PIC Simulations. Communications in Computational Physics. 7 (5). 877-903. doi:10.4208/cicp.2009.09.094
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