Multifractal critical chaos generated by two interacting particles in a disordered chain: Anderson model

Authors
Citation
A. Bershadskii, Multifractal critical chaos generated by two interacting particles in a disordered chain: Anderson model, MOD PHY L B, 13(21), 1999, pp. 751-757
Citations number
20
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
MODERN PHYSICS LETTERS B
ISSN journal
02179849 → ACNP
Volume
13
Issue
21
Year of publication
1999
Pages
751 - 757
Database
ISI
SICI code
0217-9849(19990910)13:21<751:MCCGBT>2.0.ZU;2-6
Abstract
It is shown, using data of numerical simulations performed by different aut hors, that multifractal chaos generated by two interacting particles in a d isordered chain (in the frames of the Anderson model) belongs to the same c lass of multifractal chaotic processes as critical chaos generated by the m ap x(n)+1 = 1 - a\x(n)\(z) via the Feigenbaum scenario. Moreover, a single parameter - multifractal critical index - characterizing this class, takes the same value for both the Anderson quantum chaos and for the universal cr itical chaos generated by the map x(n)+1 = 1- a\x(n)\(3).