A simple non-Markovian equation for a magnetoplasma

Physics

Scientific paper

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Collisional Plasmas, Kinetic Equations, Magnetoplasmadynamics, Particle Collisions, Relaxation Time, Tokamak Devices, Controlled Fusion, Distribution Functions, Heat Flux, Time Lag, Velocity Distribution

Scientific paper

A new kinetic equation for the velocity distribution function is proposed here, with the innovation that the term representing the effect of particle collisions incorporates time delays extending over the interval between successive 90 deg collisions. When this theory is applied to magnetoplasmas of the type found in tokamaks, it is found that the time delay has a dramatic effect on the heat flux across the magnetic field, giving results orders of magnitude larger than the classical values and in fair agreement with observations. It appears that non-Markovian effects are of great importance in magnetoplasmas, and that they provide answers to some unsolved problems in fusion research.

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