Nonlinear dynamics of continuous-time random walks in inhomogeneous medium

DOI10.1063/5.0002370zbMath1441.60035OpenAlexW3036481986WikidataQ96949201 ScholiaQ96949201MaRDI QIDQ5119467

Sean Carnaffan, Władysław Szczotka, Marcin Magdziarz

Publication date: 4 September 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0002370

zbMATH Keywords

continuous-time random walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (1)

Anomalous diffusion originated by two Markovian hopping-trap mechanisms

Cites Work

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• Langevin picture of Lévy walks and their extensions
• Lagging and leading coupled continuous time random walks, renewal times and their joint limits
• Relaxation to stationary states for anomalous diffusion
• Correlated continuous time random walks
• Some applications of fractional equations.
• Lévy noise with memory
• Limit theorems for coupled continuous time random walks.
• Variable order fractional Fokker-Planck equations derived from continuous time random walks
• Transport equations for subdiffusion with nonlinear particle interaction
• Stochastic-Process Limits
• Asymptotic behaviour of random walks with correlated temporal structure
• Multidimensional Lévy walk and its scaling limits
• Random Walks on Lattices. II
• Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
• Cluster continuous time random walks
• The Asymptotic Behavior of Local Times of Recurrent Random Walks with Infinite Variance
• Correlated continuous-time random walks—scaling limits and Langevin picture
• Subordinated diffusion and continuous time random walk asymptotics
• Anomalous diffusion in correlated continuous time random walks
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
• Fractional diffusion in inhomogeneous media
• First Steps in Random Walks
• Stochastic models for fractional calculus
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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