{ "id": "1903.07433", "version": "v1", "published": "2019-03-18T13:35:59.000Z", "updated": "2019-03-18T13:35:59.000Z", "title": "Efficacy of a magnetic shield against a Vlasov-Poisson plasma", "authors": [ "Silvia Caprino", "Guido Cavallaro", "Carlo Marchioro" ], "categories": [ "math-ph", "math.MP" ], "abstract": "The aim of the paper is to test on a simple model how impenetrable may be a magnetic shield. We study the time evolution of a single species positive plasma, confined in the half-space $x_1>0$. The confinement is the result of a balance between a magnetic field and an external field, both singular at $x_1=0$; the magnetic field forbids the entrance of plasma particles in the region $x_1 \\leq 0$, whereas the external field attracts the plasma particles towards $x_1=0$. The plasma has finite total charge and velocities distributed with a Maxwell-Boltzmann law.", "revisions": [ { "version": "v1", "updated": "2019-03-18T13:35:59.000Z" } ], "analyses": { "keywords": [ "magnetic shield", "vlasov-poisson plasma", "plasma particles", "magnetic field forbids", "single species positive plasma" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }