descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Apr 2002Embargo end date: 01 Jan 2001 English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 307, pages 157-171 (issn: 0378-4371,

Authors: María Teresa Martín; Angelo Plastino; Angelo Plastino; R. Piasecki;

doi: 10.1016/s0378-4371(01)00591-x , 10.48550/arxiv.cond-mat/0107471

arXiv: http://arxiv.org/abs/cond-mat/0107471

Inhomogeneity and complexity measures for spatial patterns

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Abstract

In this work we examine two different measures for inhomogeneity and complexity that are derived from nonextensive considerations a' la Tsallis. Their performance is then tested on theoretically generated patterns. All measures are found to exhibit a most sensitive behaviour for Sierpinski carpets. The procedures here introduced provide us with new, powerful Tsallis' tools for analysing the inhomogeneity and complexity of spatial patterns.

15 pages, 7 figures; replaced with published version

Related Organizations

National Scientific and Technical Research Council
Argentina
University of Opole
Poland
National University of La Plata
Argentina

Keywords

non-extensive tsallis considerations, Spatial patterns, Statistical Mechanics (cond-mat.stat-mech), Sierpiński carpets, Física, FOS: Physical sciences, Complexity, Topological dynamics, Ciencias Exactas, Non-extensive statistics, Condensed Matter - Statistical Mechanics

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Thermodynamics' zeroth law in a nonextensive scenario
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