Supersymmetric Fokker-Planck strict isospectrality

Details Supersymmetric Fokker-Planck strict isospectrality Supersymmetric Fokker-Planck strict isospectrality

1996-10-07

arxiv.org/abs/cond-mat/9610049v2

Phys. Rev. E 56 (Aug. 1997) 2269-2271

Physics

Condensed Matter

Statistical Mechanics

revised version, scheduled for PRE 56 (1 August 1997) as a BR

Scientific paper

10.1103/PhysRevE.56.2269

I report a study of the nonstationary one-dimensional Fokker-Planck solutions by means of the strictly isospectral method of supesymmetric quantum mechanics. The main conclusion is that this technique can lead to a space-dependent (modulational) damping of the spatial part of the nonstationary Fokker-Planck solutions, which I call strictly isospectral damping. At the same time, using an additive decomposition of the nonstationary solutions suggested by the strictly isospectral procedure and by an argument of Englefield [J. Stat. Phys. 52, 369 (1988)], they can be normalized and thus turned into physical solutions, i.e., Fokker-Planck probability densities. There might be applications to many physical processes during their transient period

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