Fractional Liouville equation on lattice phase-space

Vasily E. Tarasov

Physica A: Statistical Mechanics and its Applications, 2015, vol. 421, issue C, 330-342

Abstract: In this paper we propose a lattice analog of phase-space fractional Liouville equation. The Liouville equation for phase-space lattice with long-range jumps of power-law types is suggested. We prove that the continuum limit transforms this lattice equation into Liouville equation with conjugate Riesz fractional derivatives of non-integer orders with respect to coordinates of continuum phase-space. An application of the fractional Liouville equation with these Riesz fractional derivatives to describe properties of plasma-like nonlocal media is considered.

Keywords: Liouville equation; Fractional equation; Fractional derivative; Lattice; Long-range jump (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:421:y:2015:i:c:p:330-342

DOI: 10.1016/j.physa.2014.11.031

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