Some Stochastic Processes in Astrophysics.
Abstract
A general equation characterizing multiplicative stochastic processes is considered, and two formal perturbation procedures are examined. The mathematical foundation of the dynamo equation is described for the solar dynamo theory. An exact Eulerian description of the diffusion of passive scalar and vector fields by turbulence is given. Renormalized transport coefficients are introduced, and the possibility that the renormalized diffusivity of the mean magnetic field is negative is investigated. The homologous evolution of galaxies is discussed as well as the evolution of the stellar distribution function using the FokkerPlanck equation. The method offers a theoretical framework for the study of mass loss and the dynamical evolution of tidally interacting galaxies, and thus offers a useful alternative to numerical simulations.
 Publication:

Ph.D. Thesis
 Pub Date:
 1978
 Bibcode:
 1978PhDT.........3K
 Keywords:

 Physics: Astronomy and Astrophysics;
 Astrodynamics;
 Astrophysics;
 Differential Equations;
 Stochastic Processes;
 EulerLagrange Equation;
 FokkerPlanck Equation;
 Galactic Evolution;
 Interacting Galaxies;
 Solar Physics;
 Star Distribution;
 Turbulent Diffusion;
 Astrophysics