Nonlinear fractional dynamics on a lattice with long range interactions

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.

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Year of publication:	2006
Authors:	Laskin, N. ; Zaslavsky, G.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 368.2006, 1, p. 38-54
Publisher:	Elsevier
Subject:	Lattice dynamics \| Long-range interaction \| Fractional sine-Gordon equation \| Fractional nonlinear Shrödinger equation \| Quantum lattice propagator

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011064584