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arXiv · 1701.08076

Structural scale $q-$derivative and the LLG-Equation in a scenario with fractionality

José Weberszpil·José Abdalla Helayël-Neto
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Abstract

In the present contribution, we study the Landau-Lifshitz-Gilbert equation with two versions of structural derivatives recently proposed: the scale $q-$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.

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José Weberszpil, José Abdalla Helayël-Neto. 2017-01-27. Structural scale $q-$derivative and the LLG-Equation in a scenario with fractionality. https://doi.org/10.1209/0295-5075/117/50006

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