Transport phenomena in stochastic magnetic mirrors

Parallel thermal conduction along stochastic magnetic field lines may be re duced because the heat-conducting electrons become trapped and detrapped be tween regions of strong magnetic field (magnetic mirrors). The problem redu ces to a simple but realistic model for diffusion of monoenergetic electron s based on the fact that when there is a reduction of diffusion, it is cont rolled by a subset of the mirrors, the principal mirrors. The diffusion red uction can be considered as equivalent to an enhancement of the pitch angle scattering rate. Therefore, in deriving the collision integral, we modify the pitch angle scattering term. We take into account the full perturbed el ectron-electron collision integral, as well as the electron-proton collisio n term. Finally, we obtain the four plasma transport coefficients and the e ffective thermal conductivity. We express them as reductions from the class ical values. We present these reductions as functions of the ratio of the m agnetic field decorrelation length to the electron mean free path at the th ermal speed V-T = (2kT/m(e))(1/2). We briefly discuss an application of our results to clusters of galaxies.