Overdamped and underdamped Langevin equations in the interpretation of experiments and simulations

DOI10.1088/1361-6404/ac93c9OpenAlexW4296703683MaRDI QIDQ5884196

Vladimír Lisý, Jana Tóthová

Publication date: 20 March 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/ac93c9

zbMATH Keywords

Brownian motiongeneralized Langevin equationLangevin theoryoverdamped and underdamped regimesproblems with overdamped Langevin equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integro-partial differential equations (45K05) Brownian motion (60J65) Viscoelastic fluids (76A10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Laplace transform (44A10) Volterra integral equations (45D05) Integro-partial differential equations (35R09) Physics, astronomy, technology, engineering (aspects of mathematics education) (97M50)

Cites Work

• Langevin equation for a free particle driven by power law type of noises
• Brownian motion in a gas of charged particles under the influence of a magnetic field
• Brownian motion in a bath affected by an external harmonic potential
• Langevin theory of anomalous Brownian motion made simple
• A note on ‘Langevin theory of anomalous Brownian motion made simple’
• Transport, Collective Motion, and Brownian Motion
• Non-Markovian stochastic processes: Colored noise
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