Supersymmetric Fokker-Planck strict isospectrality

Journal Article · Fri Aug 01 04:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.56.2269· OSTI ID:528036

Rosu, H C ^[1]

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1. Instituto de Fisica de la Universidad de Guanajuato, Apartado Postal E-143, Leon, Gto (Mexico)

I report a study of the nonstationary one-dimensional Fokker-Planck solutions by means of the strictly isospectral method of supersymmetric 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. {bold 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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 528036
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 2 Vol. 56; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DAMPING
DECOMPOSITION
DENSITY
FOKKER-PLANCK EQUATION
ONE-DIMENSIONAL CALCULATIONS
QUANTUM MECHANICS
SUPERSYMMETRY