To separation of variables in the Fokker-Planck equations

Abstract

I. M. Suslov

The separation of variables in the Fokker-Planck equations was discussed in the comparatively new papers (e.g. [1, 2, 3]), but under rather restricted assumptions. The equation of type (2) arises in the theory of 1D localization, where it describes the evolution of the mutual distribution P(ρ, �??) of the Landauer resistance ρ and the phase variable �?? = θ – φ , where θ and φ are phases entering the transfer matrix (see Eq.28 in [4] and the comments after it).

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