Scalar curvature of systems with fractal distribution functions
M. Ubriaco. (2012)cite arxiv:1205.2591 Comment: 9 pages, 2 figures.
Abstract
Starting with the relative entropy for two close statistical states we define
the metric and calculate the scalar curvature $R$ for systems with classical,
boson and fermion fractal distribution functions with moment order parameter
$q$. In particular, we find that for $q1$ the scalar curvature is closer
to zero implying that the fractal bosonic and fermionic systems are more stable
than the standard ones.
Description
Scalar curvature of systems with fractal distribution functions
%0 Generic
%1 ubriaco2012scalar
%A Ubriaco, Marcelo R.
%D 2012
%K fractals
%T Scalar curvature of systems with fractal distribution functions
%U http://arxiv.org/abs/1205.2591
%X Starting with the relative entropy for two close statistical states we define
the metric and calculate the scalar curvature $R$ for systems with classical,
boson and fermion fractal distribution functions with moment order parameter
$q$. In particular, we find that for $q1$ the scalar curvature is closer
to zero implying that the fractal bosonic and fermionic systems are more stable
than the standard ones.
@misc{ubriaco2012scalar,
abstract = {Starting with the relative entropy for two close statistical states we define
the metric and calculate the scalar curvature $R$ for systems with classical,
boson and fermion fractal distribution functions with moment order parameter
$q$. In particular, we find that for $q\neq 1$ the scalar curvature is closer
to zero implying that the fractal bosonic and fermionic systems are more stable
than the standard ones.},
added-at = {2012-05-15T00:35:10.000+0200},
author = {Ubriaco, Marcelo R.},
biburl = {https://www.bibsonomy.org/bibtex/2c1988f30c9d6ef54f284bdc995fca13e/vakaryuk},
description = {Scalar curvature of systems with fractal distribution functions},
interhash = {e26df64132902dee5f05ec13bc862b89},
intrahash = {c1988f30c9d6ef54f284bdc995fca13e},
keywords = {fractals},
note = {cite arxiv:1205.2591 Comment: 9 pages, 2 figures},
timestamp = {2012-05-15T00:35:11.000+0200},
title = {Scalar curvature of systems with fractal distribution functions},
url = {http://arxiv.org/abs/1205.2591},
year = 2012
}