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arXiv · 1205.2591

Scalar curvature of systems with fractal distribution functions

Marcelo R. Ubriaco
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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.

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BibTeXRIS

Marcelo R. Ubriaco. 2012-05-11. Scalar curvature of systems with fractal distribution functions. https://doi.org/10.1016/j.physleta.2012.07.023

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