Towards the thermodynamics of localization processes

Description:

In this article, the authors study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization.

Creator(s):
Creation Date: September 2000
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
Usage:
Total Uses: 25
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Creator (Author):
Grigolini, Paolo

University of North Texas; Istituto di Biofisica CNR; Universit√° di Pisa

Creator (Author):
Pala, Marco G.

Universit√° di Pisa

Creator (Author):
Palatella, Luigi

Universit√° di Pisa; Istituto Nazionale per la Fisica della Materia

Creator (Author):
Roncaglia, Roberto

Istituto Nazionale per la Fisica della Materia

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: September 2000
Description:

In this article, the authors study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization.

Degree:
Department: Physics
Note:

Copyright 2000 American Physical Society. The following article appeared in Physical Review E, 62:3, pp. 3429-3436; http://pre.aps.org/abstract/PRE/v62/i3/p3429_1

Note:

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 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 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.

Physical Description:

8 p.

Language(s):
Subject(s):
Keyword(s): thermodynamics | quantum mechanical models
Source: Physical Review E, 2000, College Park: American Physical Society, pp. 3429-3436
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevE.62.3429 |
  • ARK: ark:/67531/metadc77163
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review E
Volume: 62
Issue: 3
Page Start: 3429
Page End: 3436
Pages: 8
Peer Reviewed: Yes