Nonlinear fractional dynamics on a lattice with long range interactions

N. Laskin and G. Zaslavsky

Physica A: Statistical Mechanics and its Applications, 2006, vol. 368, issue 1, 38-54

Abstract: A unified approach has been developed to study nonlinear dynamics of a 1D lattice of particles with long-range power-law interaction. A classical case is treated in the framework of the generalization of the well-known Frenkel–Kontorova chain model for the non-nearest interactions. Quantum dynamics is considered following Davydov's approach for molecular excitons.

Keywords: Lattice dynamics; Long-range interaction; Fractional sine-Gordon equation; Fractional nonlinear Shrödinger equation; Quantum lattice propagator (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:368:y:2006:i:1:p:38-54

DOI: 10.1016/j.physa.2006.02.027

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