The formation of the fractal model magnetoplasma electrodynamic accelerator

Abstract

The formation of the fractal model magnetoplasma electrodynamic accelerator

Mikhaylov A. A., Bazuyeva S. A.

Incoming article date: 22.07.2015

The article considers the problem of constructing a fractal model magnetoplasma electrodynamic accelerator. Modeling such a complex system is defined as the process of computing a generalized solution of the Fokker–Planck–Kolmogorov equation, describing real physical processes in hereditary (hereditarity) systems. The obtained Markov model, which determines the navigation system on multifractal sets of States along the trajectory of dispersal in a magnetoplasma electrodynamic accelerator, according to the research, is determined by the fractal dimension and the mathematical apparatus of generalized fractional derivatives of Riemann-Liouville. We have investigated the solutions of this equation, obtained after synthesis for fractional derivatives of Riemann–Liouville. The transition to fractional order derivative in time allows to take into account the temporal and spatial effects of system memory, processes in which processes are classified as "residual" memory, part of which is preserved, and the other part corresponds to irreversible losses.

Keywords: magnetoplasma electrodynamic accelerator (ED), hereditary (hereditarity) model of the system, the equation of the Fokker–Planck–Kolmogorov, fractional derivatives of Riemann–Liouville