Fluctuations in helium nuclear reaction-diffusion systems

Abstract

In this paper the question about the space correlation of the fluctuation in helium nuclear reaction diffusion system has been analysed. We have introduced the diffusion term into master equation of the probability distribution function of density. The spectrum of fluctuation waves in helium nuclear reaction system have been obtained. There is a series of waves which described the propagation of the fluctuation moments of the local density. The instability of helium combustion at its beginning for the star which mass satisfyingM<2M _⊙ may be related with those increasing fluctuation waves. We also use the bifurcation theory to deal with the partial differential equation of helium nuclear reaction system. The expression of supercritical ordinary bifurcation is obtained.