Fractional statistical dynamics and fractional kinetics
Mathematical Physics
2016-10-19 v2 math.MP
Abstract
We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obtain the evolution of the density of particles in the fractional kinetics in terms of a non-linear Vlasov-type kinetic equation. As an application we study the intermittency of the fractional mesoscopic dynamics.
Cite
@article{arxiv.1604.03816,
title = {Fractional statistical dynamics and fractional kinetics},
author = {Jose Luis da Silva and Anatoly N. Kochubei and Yuri Kondratiev},
journal= {arXiv preprint arXiv:1604.03816},
year = {2016}
}
Comments
Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=890. arXiv admin note: text overlap with arXiv:1604.03807