Exact solutions of a Fokker-Planck equation.

DOI10.1007/BF01016420zbMath1082.82523OpenAlexW2052015398MaRDI QIDQ1963471

M. J. Englefield

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01016420

zbMATH Keywords

Fokker-Planck equationexactly solved modelsbistable potentials

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (5)

Pseudospectral solution of the Fokker-Planck equation with equilibrium bistable states: the eigenvalue spectrum and the approach to equilibrium ⋮ Exact solutions of the Fokker-Planck equation from an \(n\)th order supersymmetric quantum mechanics approach ⋮ On the construction of a special class of time-inhomogeneous diffusion processes ⋮ Maximum-entropy approach with higher moments for solving Fokker-Planck equation ⋮ Darboux transformations for (1+2)-dimensional Fokker-Planck equations with constant diffusion matrix

Cites Work

• The Fokker-Planck equation. Methods of solution and applications
• Similarity methods for differential equations
• Exact solution for the diffusion in bistable potentials
• Explicit solutions of the time-dependent Schrodinger equation
• The Inverse Problem in the Quantum Theory of Scattering
• Supersymmetry, potentials with bound states at arbitrary energies and multi-soliton configurations
• Associated harmonic oscillator potential models for Schrodinger equations

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