Migma distribution functions and fusion rates

Abstract

Using a circular orbit model appropriate to a Migma fusion device, analytical expressions are obtained for the particle density and the colliding pair distribution functions in terms of a parameter which specifies the central (“core”) density. Contrary to expectations, our distribution functions tend to favor colliding pairs with low relative velocities, and this tendency grows stronger as the central density increases. The reaction rate parameters for the d+d and d+ 3He fusion reactions have been calculated for a wide range of deuteron energies, and our resultant values are not only significantly smaller than those found by Maglich, but are also generally smaller than those obtained from a comparable Maxwell distribution. We also find that the total pair density and the resultant fusion rate increase remarkably little with large increases in the central density, so that this basic Migma characteristic does not appear particularly advantageous for fusion production.