This review article aims to stress and reunite some of the analytic formalism of the
anomalous diffusive processes that have succeeded in their description. Also, it has the …

The possible distinction between inanimate and living matter has been of interest to
humanity for thousands of years. Clearly, such a rich question can not be answered in a …

We show through a nonlinear Fokker-Planck formalism, and confirm by molecular dynamics
simulations, that the overdamped motion of interacting particles at T= 0, where T is the …

A system of interacting vortices under overdamped motion, which has been commonly used
in the literature to model flux-front penetration in disordered type-II superconductors, was …

Abstract The Fokker-Planck Equation (FPE) is a fundamental tool for the investigation of
kinematic aspects of a wide range of systems. The Plastino-Plastino Equation (PPE) is the …

We study the dynamics of a system of overdamped Brownian particles governed by the
generalized stochastic Smoluchowski equation associated with a generalized form of …

We study a generalization of the random walk (RW) based on a deformed translation of the
unitary step, inherited by the q algebra, a mathematical structure underlying nonextensive …

Stationary and time-dependent solutions of a nonlinear Kramers equation, as well as its
associated nonlinear Fokker-Planck equations, are investigated within the context of Tsallis …

The entropy time rate of systems described by nonlinear Fokker-Planck equations—which
are directly related to generalized entropic forms—is analyzed. Both entropy production …

A thermodynamic formalism is developed for a system of interacting particles under
overdamped motion, which has been recently analyzed within the framework of …