Duality and spatial inhomogeneity
Abstract
Within the framework on non-extensive thermostatistics we revisit the recently advanced q-duality concept. We focus our attention here on a modified q-entropic measure of the spatial inhomogeneity for binary patterns. At a fixed length-scale this measure exhibits a generalised duality that links appropriate pairs of q and q' values. The simplest q <-> q' invariant function, without any free parameters, is deduced here. Within an adequate interval q < qo < q', in which the function reaches its maximum value at qo, this invariant function accurately approximates the investigated q-measure, nitidly evidencing the duality phenomenon. In the close vicinity of qo, the approximate meaningful relation q + q' = 2qo holds.
Cite
@article{arxiv.cond-mat/0107604,
title = {Duality and spatial inhomogeneity},
author = {R. Piasecki and A. Plastino},
journal= {arXiv preprint arXiv:cond-mat/0107604},
year = {2015}
}
Comments
Contribution to International School and Conference on "Non Extensive Thermodynamics and physical applications", Villasimius-Capo Boi (Cagliari), Italy, 23-30 May 2001, 6 pages, 2 figures, replaced with published version