A note on q-Gaussians and non-Gaussians in statistical mechanics

Details A note on q-Gaussians and non-Gaussians in statistical mechanics A note on q-Gaussians and non-Gaussians in statistical mechanics

2007-05-04

arxiv.org/abs/0705.0600v2

J. Stat. Mech. (2007) P06003

Physics

Condensed Matter

Statistical Mechanics

17 pages including 3 figures. Introduction and references expanded

Scientific paper

10.1088/1742-5468/2007/06/P06003

The sum of $N$ sufficiently strongly correlated random variables will not in general be Gaussian distributed in the limit N\to\infty. We revisit examples of sums x that have recently been put forward as instances of variables obeying a q-Gaussian law, that is, one of type (cst)\times[1-(1-q)x^2]^{1/(1-q)}. We show by explicit calculation that the probability distributions in the examples are actually analytically different from q-Gaussians, in spite of numerically resembling them very closely. Although q-Gaussians exhibit many interesting properties, the examples investigated do not support the idea that they play a special role as limit distributions of correlated sums.

Affiliated with

Also associated with

No associations

Rating

A note on q-Gaussians and non-Gaussians in statistical mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note on q-Gaussians and non-Gaussians in statistical mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on q-Gaussians and non-Gaussians in statistical mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615630