Interacting particle systems with long-range interactions: approximation by tagged particles in random fields

DOI10.4171/RLM/977zbMath1498.82014arXiv2103.09740WikidataQ114021388 ScholiaQ114021388MaRDI QIDQ2083989

Alessia Nota, Raphael Winter, Juan J. L. Velazquez

Publication date: 17 October 2022

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.09740

zbMATH Keywords

long-range interactionskinetic equationsinteracting particle systemsstochastic Langevin dynamicstracer particle in random medium approximation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) PDEs in connection with mechanics of particles and systems of particles (35Q70) Fokker-Planck equations (35Q84)

Related Items (2)

The grazing collisions limit from the linearized Boltzmann equation to the Landau equation for short-range potentials ⋮ Well-posedness of the Lenard-Balescu equation with smooth interactions

Cites Work

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• Fokker-Planck Equation for an Inverse-Square Force
• Electrostatic Instabilities of a Uniform Non-Maxwellian Plasma
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