August 15th, 2023

Interplay between particle trapping and heterogeneity in anomalous diffusion

Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean squared displacement in experiments. This […]

August 16th, 2022

Schrödinger Equation with Geometric Constraints and Position-Dependent Mass

We investigate the solutions of a two-dimensional Schrödinger equation in the presence of geometric constraints, represented by a backbone structure […]

January 27th, 2022

Fractional Diffusion with Geometric Constraints: Application to Signal Decay in Magnetic Resonance Imaging (MRI)

We investigate diffusion in three dimensions on a comb-like structure in which the particles move freely in a plane, but, […]

November 1st, 2021

Transient anomalous diffusion in heterogeneous media with stochastic resetting

We investigate a diffusion process in heterogeneous media where particles stochastically reset to their initial positions at a constant rate. […]

September 27th, 2021

Sorption-Desorption, Surface diffusion, and Memory Effects in a 3D System

Bio and nature behaviors inspired modelling of diffusion and trapping of particles, key phenomena for life occurrence, must consider a […]

June 22nd, 2020

Anomalous diffusion and sorption-desorption process in complex fluid systems

Diffusion processes occurring in a myriad of systems sparkle great interest in understanding their general properties and applications. In this […]

February 24th, 2020

Anomalous diffusion and random search in xyz-comb: Exact results

We present an analytical treatment of anomalous diffusion in a three-dimensional comb (xyz-comb) by using the Green’s function approach. We […]

February 13th, 2020

Quenched and Annealed Disorder Mechanisms in Comb-Models with Fractional Operators

Recent experimental findings on anomalous diffusion have demanded novel models that combine annealed (temporal) and quenched (spatial or static) disorder […]

October 3rd, 2019

Extensions and Solutions for Nonlinear Diffusion Equations and Random Walks

We investigate a connection between random walks and nonlinear diffusion equations within the framework proposed by Einstein to explain the […]

May 12th, 2018

A nonlinear Fokker-Planck equation approach for interacting systems: Anomalous diffusion and Tsallis statistics

We investigate the solutions for a set of coupled nonlinear Fokker–Planck equations coupled by the diffusion coefficient in presence of […]