 Statistical approach to fractal-structured systems: An illustration from the physics of semiconductor heterostructuresA.R. Vasconcellos, E. Laureto, E.A. Meneses and R. Luzzi Chaos, Solitons & Fractals, 2006, vol. 28, issue 1, 8-19 Abstract: Physico-chemical systems presenting fractal-like structures pose difficulties for their study within the scope of the standard statistical mechanics. A way around in order to make predictions for analyzing the system properties consists into resorting to auxiliary alternative statistics. We illustrate here one such a case in a study of luminescence spectra in nanometric quantum wells of semiconductor heterostructures which show anomalous behavior when compared with the usual one in bulk matter. This is a result of the occurrence of the phenomenon in constrained geometries (nanometer scales) with microroughened fractal-like boundaries. This sets practical difficulties for the theoretical treatment in that one does not have access to a proper description of certain relevant characteristics of the system. The situation becomes further hard to deal with when the system is in far-from-equilibrium conditions. A way around to perform a study of the phenomenon consists into the use of a formalism for dealing with nonequilibrium many-body systems based on auxiliary statistics, and we resort here to Renyi approach adapted to a nonequilibrium statistical ensemble formalism. Date: 2006 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:1:p:8-19 DOI: 10.1016/j.chaos.2005.05.030 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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