Supersymmetry and Fokker-Planck dynamics in periodic potentials

Sahoo, Mamata ; Mahato, Mangal C. ; Jayannavar, A. M. (2007) Supersymmetry and Fokker-Planck dynamics in periodic potentials Physics Letters A, 361 (4-5). pp. 413-417. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...

Related URL: http://dx.doi.org/10.1016/j.physleta.2006.09.059

Abstract

Recently, the Fokker-Planck dynamics of particles in periodic potentials ±V, have been investigated by using the matrix continued fraction method. It was found that the two periodic potentials, one being bistable and the other metastable give the same diffusion coefficient in the overdamped limit. We show that this result naturally follows from the fact that the considered potentials in the corresponding Schrodinger equation form supersymmetric partners. We show that these differing potentials ±V also exhibit symmetry in current and diffusion coefficients: J+(F)=−J(−F) and D+(F)=D(−F) in the presence of a constant applied force F. Moreover, we show numerically that the transport properties in these potentials are related even in the presence of oscillating drive.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Supersymmetry; Fokker-Planck Equation; Diffusion; Current
ID Code:14697
Deposited On:12 Nov 2010 13:48
Last Modified:16 May 2016 23:40

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