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Fractional Liouville and BBGKI Equations

Vasily E. Tarasov
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Abstract

We consider the fractional generalizations of Liouville equation. The normalization condition, phase volume, and average values are generalized for fractional case.The interpretation of fractional analog of phase space as a space with fractal dimension and as a space with fractional measure are discussed. The fractional analogs of the Hamiltonian systems are considered as a special class of non-Hamiltonian systems. The fractional generalization of the reduced distribution functions are suggested. The fractional analogs of the BBGKI equations are derived from the fractional Liouville equation.

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Vasily E. Tarasov. 2006-02-28. Fractional Liouville and BBGKI Equations. https://doi.org/10.1088/1742-6596%2F7%2F1%2F002

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