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arXiv · 1604.03816

Fractional statistical dynamics and fractional kinetics

Jose Luis da Silva·Anatoly N. Kochubei·Yuri Kondratiev
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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.

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Jose Luis da Silva, Anatoly N. Kochubei, Yuri Kondratiev. 2016-10-17. Fractional statistical dynamics and fractional kinetics. https://arxiv.org/abs/1604.03816

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