Duality and spatial inhomogeneity

Details Duality and spatial inhomogeneity Duality and spatial inhomogeneity

2001-07-30

arxiv.org/abs/cond-mat/0107604v2

Physica A 305 (2002) 113-118

Physics

Condensed Matter

Statistical Mechanics

Contribution to International School and Conference on "Non Extensive Thermodynamics and physical applications", Villasimius-C

Scientific paper

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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