%0 Journal Article %1 Esirkepov_2001 %A Esirkepov, T. Zh. %D 2001 %J Computer Physics Communications %K PiC formfactor plasma simulation %N 2 %P 144 - 153 %R 10.1016/S0010-4655(00)00228-9 %T Exact charge conservation scheme for Particle-in-Cell simulation with an arbitrary form-factor %U http://www.sciencedirect.com/science/article/B6TJ5-42MN624-2/2/901300107b9ab686926d99acbedeed56 %V 135 %X The new method of local electric current density assignment in the Particle-in-Cell code in Cartesian geometry is presented. The method is valid for an arbitrary quasi-particle form-factor assuming that quasi-particle trajectory over time step is a straight line. The method allows one to implement the PIC code without solving Poisson equation. The presented formula for the current density associated with the motion of a single quasi-particle is the unique linear combination of form-factor differences in consistency with the discrete continuity equation. The computation scheme is demonstrated in 2D and 3D.

@article{Esirkepov_2001, abstract = {The new method of local electric current density assignment in the Particle-in-Cell code in Cartesian geometry is presented. The method is valid for an arbitrary quasi-particle form-factor assuming that quasi-particle trajectory over time step is a straight line. The method allows one to implement the PIC code without solving Poisson equation. The presented formula for the current density associated with the motion of a single quasi-particle is the unique linear combination of form-factor differences in consistency with the discrete continuity equation. The computation scheme is demonstrated in 2D and 3D.}, added-at = {2012-04-11T14:04:10.000+0200}, author = {Esirkepov, T. Zh.}, biburl = {https://www.bibsonomy.org/bibtex/2df6cef0b270cffc7095abeec4f2ad207/pkilian}, doi = {10.1016/S0010-4655(00)00228-9}, interhash = {96098b830b9f691cbf805a7ee93d271f}, intrahash = {df6cef0b270cffc7095abeec4f2ad207}, issn = {0010-4655}, journal = {Computer Physics Communications}, keywords = {PiC formfactor plasma simulation}, number = 2, pages = {144 - 153}, timestamp = {2012-04-11T14:04:12.000+0200}, title = {Exact charge conservation scheme for Particle-in-Cell simulation with an arbitrary form-factor}, url = {http://www.sciencedirect.com/science/article/B6TJ5-42MN624-2/2/901300107b9ab686926d99acbedeed56}, volume = 135, year = 2001 }