@article{Degond, author = {Degond, P and Hirstoaga, S and Vignal, M-H}, title = {The Vlasov model under large magnetic fields in the low-Mach number regime}, url = {http://arxiv.org/abs/0905.2400v1}, }

TY - JOUR AB - This article is concerned with the kinetic modeling, by means of the Vlasovequation, of charged particles under the influence of a strong externalelectromagnetic field, i.e. when epsilon^2, the dimensionless cyclotron period,tends to zero. This leads us to split the velocity variable in the Vlasovequation into fluid and random components. The latter is supposed to have alarge magnitude of order 1/epsilon (which corresponds to the low Mach numberregime). In the limit epsilon -> 0, the resulting model is a hybrid model whichcouples a kinetic description of the microscopic random motion of the particlesto a fluid description of the macroscopic behavior of the plasma. Themicroscopic model is a first-order partial differential system for thedistribution function, which is averaged over the ultra-fast Larmor gyrationand the fast parallel motion along the magnetic field lines. The perpendicularcomponent (with respect to the magnetic field lines) of the bulk velocity isgoverned by the classical relations describing the E X B and diamagneticdrifts, while its parallel component satisfies an elliptic equation along themagnetic field lines. AU - Degond,P AU - Hirstoaga,S AU - Vignal,M-H TI - The Vlasov model under large magnetic fields in the low-Mach number regime UR - http://arxiv.org/abs/0905.2400v1 ER -