Renormalization symmetries and anomalous diffusion in globular clusters

Details Renormalization symmetries and anomalous diffusion in globular clusters Renormalization symmetries and anomalous diffusion in globular clusters

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993azh....70..680m&link_type=abstract

Astronomicheskij Zhurnal, vol. 70, p. 680

Mathematics

Group Theory

Globular Clusters, Renormalization Group Methods, Diffusion Coefficient, Stellar Evolution, Fractals, Stellar Cores

Scientific paper

The group theory approach to the construction of self-similar solutions describing the homologous stage in the evolution of globular clusters is presented. The diffusion of the hot stars from the shrinking core to the halo is considered as the Brownian motion on the fractal geometry. The fractal dimension of the nonisothermal region between the core and the halo, as well as the fractal dimension of the Brownian trajectories of the hot stars, is evaluated. The group theory is used to find explicit equations for the anomalous diffusion index which correspond to the homologous stage of the core's evolution. Self-similar-solutions for the core evolution which satisfy the essential symmetry conditions are derived.

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