title: Generalized Ohm's law for a background plasma in the presence of relativistic charged particles.
abstract: A generalized Ohm's law is derived for a system composed of a background magnetohydrodynamic plasma and a lower density relativistic charged-particle distribution. The interpretation of Ohmic electric fields occurring due to force balance breaks down for such a system and instead an approach based on Maxwell's equations along with the particle flux equations is necessary. Three additional terms arise in Ohm's law and each is verified numerically.
authors.affiliation: Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom.
authors.forename: M
authors.initials: M
authors.lastname: Sherlock