Stochastic variational principles for the collisional Vlasov-Maxwell and Vlasov-Poisson equations
arXiv:2102.09611 · doi:10.1098/rspa.2021.0167
Abstract
In this work we recast the collisional Vlasov-Maxwell and Vlasov-Poisson equations as systems of coupled stochastic and partial differential equations, and we derive stochastic variational principles which underlie such reformulations. We also propose a stochastic particle method for the collisional Vlasov-Maxwell equations and provide a variational characterization of it, which can be used as a basis for a further development of stochastic structure-preserving particle-in-cell integrators.
arXiv comment29 pages
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