Solution of the Fokker-Planck equation with a logarithmic potential
DOI10.1007/s10955-011-0363-zzbMath1237.82032arXiv1107.0884OpenAlexW3102107874MaRDI QIDQ658500
Publication date: 12 January 2012
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.0884
Fokker-Planck equationSchrödinger operatorlogarithmic potentialseigenfunction expansionsasymptotic anomaliesBoltzmann equilibriumdecay of probability distributionsinfinite covariant density
Infinitely divisible distributions; stable distributions (60E07) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)
Related Items
Cites Work
- Solution of the Fokker-Planck equation with a logarithmic potential
- Transformations on [0,1 with infinite invariant measures]
- Zero-range process with open boundaries
- Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations
- The Fokker-Planck equation. Methods of solutions and applications.
- Self-gravitating Brownian particles in two dimensions: the case of \(N = 2\) particles
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Unnamed Item
- Unnamed Item