Non-extensive statistical mechanics (or q-statistics) is based on the so-called non-additive
Tsallis entropy. Since its introduction by Tsallis, in 1988, as a generalization of the …

ABSTRACT A quasi-static uncoupled theory of thermoelasticity based on the heat
conduction equation with a time-fractional derivative of order α is proposed. Because the …

The kinetic foundations of Tsallis' nonextensive thermostatistics are investigated through
Boltzmann's transport equation approach. Our analysis follows from a nonextensive …

Subdiffusion in the presence or absence of an external force field is established on the basis
of an extension of conventional Langevin dynamics to include long-tailed trapping events. It …

We consider the d= 1 nonlinear Fokker-Planck-like equation with fractional derivatives (∂/∂
t) P (x, t)= D (∂ γ/∂ x γ)[P (x, t)] ν. Exact time-dependent solutions are found for ν=(2− γ)/(1+ …

In this work we show that it is possible to obtain a generalized statistical mechanics
(thermostatistics) based on Renyi entropy, to be maximized with adequate constraints. The …

We briefly review the present status of nonextensive statistical mechanics. We focus on (i)
the central equations of the formalism,(ii) the most recent applications in physics and other …

Abstract A bipartite spin-1/2 system having the probabilities (1+ 3 x)/4 of being in the
Einstein-Podolsky-Rosen (EPR) entangled state| Ψ−>≡(1/2)(|↑> A|↓> B−|↓> A|↑> B) and …

We discuss the anomalous diffusion associated with a nonlinear fractional Fokker–Planck
equation with a diffusion coefficient D∝| x|− θ (θ∈ R). Two classes of exact solutions are …

We uncover the dynamics at the chaos threshold μ∞ of the logistic map and find that it
consists of trajectories made of intertwined power laws that reproduce the entire period …