Structural scale $q-$derivative and the LLG-Equation in a scenario with fractionality
Mathematical Physics
2017-05-17 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
In the present contribution, we study the Landau-Lifshitz-Gilbert equation with two versions of structural derivatives recently proposed: the scale derivative in the non-extensive statistical mechanics and the axiomatic metric derivative, which presents Mittag-Leffler functions as eigenfunctions. The use of structural derivatives aims to take into account long-range forces, possible non-manifest or hidden interactions and the dimensionality of space. Having this purpose in mind, we build up an evolution operator and a deformed version of the LLG equation. Damping in the oscillations naturally show up without an explicit Gilbert damping term.
Keywords
Cite
@article{arxiv.1701.08076,
title = {Structural scale $q-$derivative and the LLG-Equation in a scenario with fractionality},
author = {José Weberszpil and José Abdalla Helayël-Neto},
journal= {arXiv preprint arXiv:1701.08076},
year = {2017}
}
Comments
10 pages, 3 figures