Fractional kinetics of subdiffusion-limited decomposition of a supersaturated solid solution

DOI10.1016/j.chaos.2015.04.002zbMath1355.74063OpenAlexW2092323305MaRDI QIDQ508858

V. V. Svetukhin, Renat T. Sibatov

Publication date: 8 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.04.002

zbMATH Keywords

Monte Carlo simulationkineticssupersaturated solid solutiondisordered solidsubdiffusion equation with fractional derivatives

Mathematics Subject Classification ID

Transformations involving diffusion in solids (74N25) Molecular, statistical, and kinetic theories in solid mechanics (74A25) Fractional partial differential equations (35R11)

Related Items

Emergence of order in dynamical phases in coupled fractional Gauss map ⋮ A new collection of real world applications of fractional calculus in science and engineering ⋮ The emergence of self-organization in complex systems -- Preface

Cites Work

• Unnamed Item
• Unnamed Item
• Multiscale analysis of collective motion and decision-making in swarms: an advection-diffusion equation with memory approach
• Detailed error analysis for a fractional Adams method
• Front propagation in reaction-diffusion systems with anomalous diffusion
• Fractional Kinetics in Solids
• The Finite Difference Methods for Fractional Ordinary Differential Equations
• Fractional kinetic equations: solutions and applications
• Chance and Stability
• The Solution to Subdiffusion-reaction Equation for the System with One Mobile and One Static Reactant
• The fractional Fick's law for non-local transport processes
• Analysis of fractional differential equations
• Fractional diffusion: probability distributions and random walk models
• The random walk's guide to anomalous diffusion: A fractional dynamics approach