RT Journal Article
SR 00
ID 10.1016/j.physleta.2012.12.009
A1 Ruiz Lopez, Guiomar
A1 Tsallis, Constantino
T1 Reply to Comment on ``Towards a large deviation theory for strongly correlated systems''
JF Physics Letters A
YR 2013
FD 2013-02-04
VO 377
IS 6
SP 491
OP 495
K1 Probability theory, Statistical mechanics, Entropy
AB 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.
SN 0375-9601
LK http://oa.upm.es/16718/