Time-dependent Langevin modeling and Monte Carlo simulations of diffusion in one-dimensional ion channels

DOI10.1007/S10910-022-01391-2zbMath1498.92080OpenAlexW4292284022MaRDI QIDQ2676683

Shern-Long Lee, Yue Chan, Rumiao Lin, Ruidi Song, Daoju Cai

Publication date: 28 September 2022

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-022-01391-2

zbMATH Keywords

Langevin equationMonte Carlo simulationsfixed point theoremspectral analysision transport

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Biochemistry, molecular biology (92C40) Fokker-Planck equations (35Q84)

Cites Work

• An application of the Fokker-Planck equation in stochastic reservoir theory
• Numerical solution of non-linear Fokker-Planck equation using finite differences method and the cubic spline functions
• Group analysis and exact solutions of the time fractional Fokker-Planck equation
• On the Fokker-Planck approach to the stochastic thermodynamics of reactive systems
• Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D

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