Reply to Comment on ``Towards a large deviation theory for strongly correlated systems''

Ruiz Lopez, Guiomar and Tsallis, Constantino (2013). Reply to Comment on ``Towards a large deviation theory for strongly correlated systems''. "Physics Letters A", v. 377 (n. 6); pp. 491-495. ISSN 0375-9601. https://doi.org/10.1016/j.physleta.2012.12.009.

Description

Title: Reply to Comment on ``Towards a large deviation theory for strongly correlated systems''
Author/s:
  • Ruiz Lopez, Guiomar
  • Tsallis, Constantino
Item Type: Article
Título de Revista/Publicación: Physics Letters A
Date: 4 February 2013
ISSN: 0375-9601
Volume: 377
Subjects:
Freetext Keywords: Probability theory, Statistical mechanics, Entropy
Faculty: E.U.I.T. Aeronáutica (UPM)
Department: Matemática Aplicada y Estadística [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The computational study commented by Touchette opens the door to a desirable generalization of standard large deviation theory for special, though ubiquitous, correlations. We focus on three interrelated aspects: (i) numerical results strongly suggest that the standard exponential probability law is asymptotically replaced by a power-law dominant term; (ii) a subdominant term appears to reinforce the thermodynamically extensive entropic nature of q-generalized rate function; (iii) the correlations we discussed, correspond to Q -Gaussian distributions, differing from Lévy?s, except in the case of Cauchy?Lorentz distributions. Touchette has agreeably discussed point (i), but, unfortunately, points (ii) and (iii) escaped to his analysis. Claiming the absence of connection with q-exponentials is unjustified.

More information

Item ID: 16718
DC Identifier: http://oa.upm.es/16718/
OAI Identifier: oai:oa.upm.es:16718
DOI: 10.1016/j.physleta.2012.12.009
Deposited by: Memoria Investigacion
Deposited on: 04 Nov 2014 19:45
Last Modified: 04 Nov 2014 19:45
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