Results 11 to 20 of about 1,453,083 (343)

Time-Fractional Phase Field Model of Electrochemical Impedance

open access: yesFractal and Fractional, 2021
In this paper, electrochemical impedance responses of subdiffusive phase transition materials are calculated and analyzed for one-dimensional cell with reflecting and absorbing boundary conditions.
Pavel E. L’vov   +3 more
doaj   +1 more source

Fractal Stochastic Processes on Thin Cantor-Like Sets

open access: yesMathematics, 2021
We review the basics of fractal calculus, define fractal Fourier transformation on thin Cantor-like sets and introduce fractal versions of Brownian motion and fractional Brownian motion. Fractional Brownian motion on thin Cantor-like sets is defined with
Alireza Khalili Golmankhaneh   +1 more
doaj   +1 more source

Self-Organized Memristive Ensembles of Nanoparticles Below the Percolation Threshold: Switching Dynamics and Phase Field Description

open access: yesNanomaterials, 2023
Percolative memristive networks based on self-organized ensembles of silver and gold nanoparticles are synthesized and investigated. Using cyclic voltammetry, pulse and step voltage excitations, we study switching between memristive and capacitive states
Renat T. Sibatov   +4 more
doaj   +1 more source

Effect of the Particle Size Distribution on the Cahn-Hilliard Dynamics in a Cathode of Lithium-Ion Batteries

open access: yesBatteries, 2020
The phase-field model based on the Cahn-Hilliard equation is employed to simulate lithium intercalation dynamics in a cathode with particles of distributed size.
Pavel L’vov, Renat Sibatov
doaj   +1 more source

The Role of Broadband Price Index in Fostering Economic Growth and Digitization in Europe

open access: yesJournal of Human, Earth, and Future, 2022
This study analyzes the determinants of the "Broadband Price Index" in Europe. The data used refers to 28 European countries between 2016 and 2021. The database used is the Digital, Economy, and Society Index-DESI of the European Commission.
Angelo Leogrande   +3 more
doaj   +1 more source

An optimal control problem without control costs

open access: yesMathematical Biosciences and Engineering, 2023
A two-dimensional diffusion process is controlled until it enters a given subset of $ \mathbb{R}^2 $. The aim is to find the control that minimizes the expected value of a cost function in which there are no control costs.
Mario Lefebvre
doaj   +1 more source

Reduced Markovian Descriptions of Brownian Dynamics: Toward an Exact Theory

open access: yesFrontiers in Physics, 2022
We outline a reduction scheme for a class of Brownian dynamics which leads to meaningful corrections to the Smoluchowski equation in the overdamped regime.
Matteo Colangeli, Adrian Muntean
doaj   +1 more source

Diffusion-annihilation processes in complex networks [PDF]

open access: yes, 2004
We present a detailed analytical study of the $A+A\to\emptyset$ diffusion-annihilation process in complex networks. By means of microscopic arguments, we derive a set of rate equations for the density of $A$ particles in vertices of a given degree, valid
Michele Catanzaro   +14 more
core   +7 more sources

Memory Effect and Fractional Differential Dynamics in Planar Microsupercapacitors Based on Multiwalled Carbon Nanotube Arrays

open access: yesEnergies, 2020
The development of portable electronic devices has greatly stimulated the need for miniaturized power sources. Planar supercapacitors are micro-scale electrochemical energy storage devices that can be integrated with other microelectronic devices on a ...
Evgeny P. Kitsyuk   +2 more
doaj   +1 more source

Dispersive Transport Described by the Generalized Fick Law with Different Fractional Operators

open access: yesFractal and Fractional, 2020
The approach based on fractional advection–diffusion equations provides an effective and meaningful tool to describe the dispersive transport of charge carriers in disordered semiconductors.
Renat T. Sibatov, HongGuang Sun
doaj   +1 more source

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