From particles scale to anomalous or classical convection-diffusion models with path integrals

DOI10.3934/dcdss.2014.7.207zbMath1274.60252OpenAlexW2319089487MaRDI QIDQ371120

Catherine Choquet, Marie-Christine Neel

Publication date: 27 September 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.207

zbMATH Keywords

continuum limitupscalingfractional Fokker-Planck equationdiffusion versus sub-diffusionfractal mobile-immobile modelfractional Feynman-Kac equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Continuous-time Markov processes on discrete state spaces (60J27) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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