Although the concept of entropy is originated from thermodynamics, its concepts and
relevant principles, especially the principles of maximum entropy and minimum cross …

The Boltzmann–Gibbs (BG) statistical mechanics constitutes one of the pillars of
contemporary theoretical physics. It is constructed upon the other pillars—classical …

Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

Abstract In Ref.[Physica A 296, 405 (2001)], starting from the one parameter deformation of
the exponential function exp {κ}(x)=(1+ κ 2 x 2+ κ x) 1/κ, a statistical mechanics has been …

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

The series aims to: present current and emerging innovations in GIScience; describe new
and robust GIScience methods for use in transdisciplinary problem solving and decision …

It was shown by Tsallis and Cirto that thermodynamical entropy of a gravitational system
such as black hole must be generalized to the non-additive entropy, which is given by S h= γ …

We present a deformed algebra related to the q-exponential and the q-logarithm functions
that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and …

Using Tsallis statistics and its relation with Boltzmann entropy, the Tsallis entropy content of
black holes is achieved, a result in full agreement with a recent study (Mejrhit and Ennadifi in …

Kaniadakis statistics is a widespread paradigm to describe complex systems in the
relativistic realm. Recently, gravitational and cosmological scenarios based on Kaniadakis …