From the nonlinear fokker-planck equation to the vlasov description and back: Confined interacting particles with drag

AR Plastino, EMF Curado, FD Nobre, C Tsallis - Physical Review E, 2018 - APS
Nonlinear Fokker-Planck equations endowed with power-law diffusion terms have proven to
be valuable tools for the study of diverse complex systems in physics, biology, and other …

Curl forces and the nonlinear Fokker-Planck equation

RS Wedemann, AR Plastino, C Tsallis - Physical Review E, 2016 - APS
Nonlinear Fokker-Planck equations endowed with curl drift forces are investigated. The
conditions under which these evolution equations admit stationary solutions, which are q …

[HTML][HTML] Approximation solution of nonlinear Stratonovich Volterra integral equations by applying modification of hat functions

F Mirzaee, E Hadadiyan - Journal of Computational and Applied …, 2016 - Elsevier
In this paper, we studied the Hyers–Ulam–Rassias stability for nonlinear Stratonovich
Volterra integral equations. Also, we obtained stochastic operational matrix of modification of …

On the integration of Ito equations with a random or a W-symmetry

G Gaeta - Journal of Mathematical Physics, 2023 - pubs.aip.org
Symmetries can be used to integrate scalar Ito equation–or reduce systems of such
equations–by the Kozlov substitution, ie passing to symmetry adapted coordinates. While …

Nonlinear inhomogeneous Fokker-Planck equations: Entropy and free-energy time evolution

G Sicuro, P Rapčan, C Tsallis - Physical Review E, 2016 - APS
We extend a recently introduced free-energy formalism for homogeneous Fokker-Planck
equations to a wide, and physically appealing, class of inhomogeneous nonlinear Fokker …

Dynamics based on analysis of public data for spreading of disease

LS Lima - Scientific Reports, 2021 - nature.com
The stochastic model for epidemic spreading of the novel coronavirus disease based on the
data set supply by the public health agencies in countries as Brazil, United States and India …

Non-Additive Entropic Forms and Evolution Equations for Continuous and Discrete Probabilities

EMF Curado, FD Nobre - Entropy, 2023 - mdpi.com
Increasing interest has been shown in the subject of non-additive entropic forms during
recent years, which has essentially been due to their potential applications in the area of …

Influence of external potentials on heterogeneous diffusion processes

R Kazakevičius, J Ruseckas - Physical Review E, 2016 - APS
In this paper we consider heterogeneous diffusion processes with the power-law
dependence of the diffusion coefficient on the position and investigate the influence of …

Interplay between nonlinear Fokker–Planck equation and stochastic differential equation

LS Lima - Probabilistic Engineering Mechanics, 2022 - Elsevier
We derive the stochastic differential equation (SDE) in Itô's calculus corresponding to
nonlinear Fokker–Planck equation where the nonlinearity appearing in this evolution …

Equilibrium states in two-temperature systems

EMF Curado, FD Nobre - Entropy, 2018 - mdpi.com
Systems characterized by more than one temperature usually appear in nonequilibrium
statistical mechanics. In some cases, eg, glasses, there is a temperature at which fast …