1998/10/27 by Luigi Palatella, Palatella, Luigi, Paolo Grigolini +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #chao-dyn #nlin.CD #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9810083
RevTex, 4 pages, 4 eps figures
arxiv created 1998/10/27 · openalex publication_date 1998/10/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the thermodynamical properties of the quantum kicked rotator, coarsened by an external fluctuation with a weak intensity D, by means of the Tsallis entropy with a changing entropic index q. The genuine entropic index, corresponding to given values of D and ℏ is that making the Tsallis entropy increase linearly in time, and it is proved to become q <1 for suitably large values of ℏ : This indicates a subdiffusional regime which, in turn, signals the occurrence of quantum localization. Thus the process of Anderson localization is shown to be compatible with a thermodynamical representation provided that a non-extensive form of entropy is used.