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Duality and spatial inhomogeneity

R. Piasecki·A. Plastino
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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.

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BibTeXRIS

R. Piasecki, A. Plastino. 2002-03-14. Duality and spatial inhomogeneity. https://doi.org/10.1016/s0378-4371(01)00648-3

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