Fractional Systems and Fractional Bogoliubov Hierarchy Equations

Details Fractional Systems and Fractional Bogoliubov Hierarchy Equations Fractional Systems and Fractional Bogoliubov Hierarchy Equations

2005-05-30

arxiv.org/abs/cond-mat/0505720v1

Physical Review E 71 (2005) 011102

Physics

Condensed Matter

Statistical Mechanics

12 pages

Scientific paper

10.1103/PhysRevE.71.011102

We consider the fractional generalizations of the phase volume, volume element and Poisson brackets. These generalizations lead us to the fractional analog of the phase space. We consider systems on this fractional phase space and fractional analogs of the Hamilton equations. The fractional generalization of the average value is suggested. The fractional analogs of the Bogoliubov hierarchy equations are derived from the fractional Liouville equation. We define the fractional reduced distribution functions. The fractional analog of the Vlasov equation and the Debye radius are considered.

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