Towards the thermodynamics of localization processes
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
; 62(3 Pt A): 3429-36, 2000 Sep.
Article
in En
| MEDLINE
| ID: mdl-11088844
ABSTRACT
We study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization. Recently Latora and Baranger [Phys. Rev. Lett. 82, 520 (1999)] found that there exist three entropy regimes, a transient regime of passage from dynamics to thermodynamics, a linear-in-time regime of entropy increase, that is, a thermodynamic regime of Kolmogorov kind, and a saturation regime. We use the nonextensive entropic indicator advocated by Tsallis [J. Stat. Phys. 52, 479 (1988)] with a mobile entropic index q, and we find that the adoption of the "magic" value q=Q=1/2, compared to the traditional entropic index q=1, reduces the length of the transient regime and makes earlier the emergence of the Kolmogorov regime. We adopt a two-site model to explain these properties by means of an analytical treatment and we argue that Q=1/2 might be a typical signature of the occurrence of Anderson localization.
Search on Google
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
Journal subject:
MEDICINA
Year:
2000
Document type:
Article
Country of publication:
EEUU
/
ESTADOS UNIDOS
/
ESTADOS UNIDOS DA AMERICA
/
EUA
/
UNITED STATES
/
UNITED STATES OF AMERICA
/
US
/
USA