{ "id": "1907.10294", "version": "v1", "published": "2019-07-24T08:20:14.000Z", "updated": "2019-07-24T08:20:14.000Z", "title": "Physics of relativistic collisionless shocks: III The suprathermal particles", "authors": [ "Martin Lemoine", "Guy Pelletier", "Arno Vanthieghem", "Laurent Gremillet" ], "journal": "Physical Review E, 2019", "categories": [ "astro-ph.HE", "physics.plasm-ph" ], "abstract": "In this third paper of a series, we discuss the physics of the population of accelerated particles in the precursor of an unmagnetized, relativistic collisionless pair shock. In particular, we provide a theoretical estimate of their scattering length $l_{scatt}(p)$ in the self-generated electromagnetic turbulence, as well as an estimate of their distribution function. We obtain $l_{scatt}(p) \\simeq (\\gamma_p /\\epsilon_B)(p/\\gamma_{\\infty} mc)^2 (c/\\omega_p)$, with p the particle momentum in the rest frame of the shock front, $\\epsilon_B$ the strength parameter of the microturbulence, $\\gamma_p$ the Lorentz factor of the background plasma relative to the shock front and $\\gamma_{\\infty}$ its asymptotic value outside the precursor. We compare this scattering length to large-scale PIC simulations and find good agreement for the various dependencies.", "revisions": [ { "version": "v1", "updated": "2019-07-24T08:20:14.000Z" } ], "analyses": { "keywords": [ "relativistic collisionless shocks", "suprathermal particles", "shock front", "scattering length", "relativistic collisionless pair shock" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }