On the macroscopic limit of Brownian particles with local interaction

DOI10.1142/S0219493720400079zbMath1451.35219arXiv2006.01781OpenAlexW3047435000MaRDI QIDQ5133920

Marta Leocata, Cristiano Ricci, Franco Flandoli

Publication date: 11 November 2020

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.01781

zbMATH Keywords

evolution equationphase transitionBrownian particlestatistical mechanic

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) PDEs in connection with statistical mechanics (35Q82)

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Coagulation dynamics under environmental noise: scaling limit to SPDE ⋮ Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel ⋮ The mathematical modeling of cancer growth and angiogenesis by an individual based interacting system

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