Fusion Reaction Rate in an Inhomogeneous Plasma
Authors: S. Son and N.J. Fisch
Date of PPPL Report: September 2004
Submitted to: Nuclear Fusion
The local fusion rate, obtained from the assumption that the distribution is a local Maxwellian, is inaccurate if mean-free-paths of fusing particles are not sufficiently small compared with the inhomogeneity length of the plasma. We calculate the first order correction of P0 in terms of the small spatial gradient and obtain a non-local modification of P0 in a shock region when the gradient is not small. Use is made of the fact that the fusion reaction cross section has a relatively sharp peak as a function of energy.