Scalar curvature of systems with fractal distribution functions
Statistical Mechanics
2015-06-05 v2 Mathematical Physics
math.MP
Abstract
Starting with the relative entropy for two close statistical states we define the metric and calculate the scalar curvature for systems with classical, boson and fermion fractal distribution functions with moment order parameter . In particular, we find that for the scalar curvature is closer to zero implying that the fractal bosonic and fermionic systems are more stable than the standard ones.
Keywords
Cite
@article{arxiv.1205.2591,
title = {Scalar curvature of systems with fractal distribution functions},
author = {Marcelo R. Ubriaco},
journal= {arXiv preprint arXiv:1205.2591},
year = {2015}
}
Comments
9 pages, 2 figures, some typos were corrected, the Conclusions section was expanded