Fluctuations in helium nuclear reaction-diffusion systems

Details Fluctuations in helium nuclear reaction-diffusion systems Fluctuations in helium nuclear reaction-diffusion systems

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.195..341c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 195, no. 2, p. 341-348.

Mathematics

Probability

4

Convection-Diffusion Equation, Helium Atoms, Nuclear Reactions, Stellar Mass, Density Distribution, Partial Differential Equations, Probability Distribution Functions

Scientific paper

The space correlation of the fluctuation in a helium nuclear reaction diffusion system is analyzed. The diffusion term is introduced into the master equation of the probability distribution function of density. The spectrum of fluctuation waves in a helium nuclear reaction system is obtained. A series of waves which describes the propagation of the fluctuation moments of the local density is presented. The instability of helium combustion at its beginning for the star with a mass satisfying M of less than 2 solar masses may be related to those increasing fluctuation waves. The bifurcation theory is used to deal with the partial differential equation of a helium nuclear reaction system. An expression of supercritical ordinary bifurcation is obtained.

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