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< q0< q‧, in which the function reaches its maximum value at q0, this invariant function accurately approximates the investigated q-measure, nitidly evidencing the duality phenomenon. In the close vicinity of q0, the approximate meaningful relation q+ q‧≅2 q0 holds.
- Publication:
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Physica A Statistical Mechanics and its Applications
- Pub Date:
- March 2002
- DOI:
- 10.1016/S0378-4371(01)00648-3
- arXiv:
- arXiv:cond-mat/0107604
- Bibcode:
- 2002PhyA..305..113P
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 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