Relationships between power-law long-range interactions and fractional mechanics

Ryosuke Ishiwata and Yūki Sugiyama

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 23, 5827-5838

Abstract: We investigate the relationships between models of power-law long-range interactions and mechanics based on fractional derivatives. We present the fractional Lagrangian density which gives the Euler–Lagrange equation that serves as the equation of motion for fractional-power-law long-range interactions. We derive this equation by the fractional variational method. In addition, we derive a Noether-like current from the fractional Lagrangian density.

Keywords: Lattice dynamics; Long-range interaction; Fractional calculus; Fractional variational method (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:23:p:5827-5838

DOI: 10.1016/j.physa.2012.06.055

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