1205.2591 (Marcelo R. Ubriaco)

Scalar curvature of systems with fractal distribution functions    [PDF]

Marcelo R. Ubriaco

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.

View original: http://arxiv.org/abs/1205.2591