Generalized expression for the heat conduction in non-Maxwellian two-component spherically symmetric pelletlike plasmas

We derive an expression for the generalized radia heat flux which is defined by the fourth moment of the particle distribution function fa, namely qa,r=0.05ma F (v-vr)2(vr-vr)f d3v.. sp Our result holds for a two-component, moderately non-Maxwellian, spherically symmetric pelletlike plasma in which each component a is described by the first six moments of fa. Special attention is given to the electron-ion plasma case. Our generalized expression (which reduces to the familiar Fourier law) contains contributions due to the following deviations from equilibrium: temperature gradients, radial streaming velocities, thermal anisotropies, temperature differences, relative radial heat fluxes(or, equivalently, relative radial skewness of the distribution functions), and the reduced fifth moments a (a>0 represents elongated, i.e., longer than Maxwellian, tails; a<0 corresponds to truncated tails).