Approximation of the Mean Escape Time for a Tilted Periodic Potential

DOI10.4208/cicp.OA-2017-0133zbMath1481.60169OpenAlexW2914824698MaRDI QIDQ5160528

Lisa Davis, Tamra Heberling, Tomáš Gedeon

Publication date: 29 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2017-0133

zbMATH Keywords

Brownian ratchettilted periodic potentialFokker-plank equationmulti-periodic potential

Mathematics Subject Classification ID

Brownian motion (60J65) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

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• The Fokker-Planck equation. Methods of solution and applications
• The Langevin Equation
• Struktur der Materie
• A Singular Perturbation Approach to Kramers’ Diffusion Problem
• Brownian motion in a field of force and the diffusion model of chemical reactions
• Handbook of stochastic methods for physics, chemistry and the natural sciences.
• Brownian motors: noisy transport far from equilibrium

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