Directed transport induced by alpha-stable Levy noises in weakly asymmetric periodic potentials

作者：Risau Gusman S^*; Ibanez S; Bouzat S

来源：Physical Review E, 2013, 87(2): 022105.

DOI：10.1103/PhysRevE.87.022105

We study the motion of a particle in spatially periodic potentials with broken mirror symmetry under the influence of white alpha-stable Levy noises. We consider both time-independent and fluctuating potentials. We focus on cases in which the spatial asymmetry of the potential is due not to a difference between the distances from an absolute minimum to the absolute maximum on its left and to the absolute maximum on its right but only to the curvatures of the potential profiles. The analysis is performed using the fractional Fokker-Planck formalism. Consistent results from Langevin simulations are also presented. We analyze the influence of the symmetry properties of the potentials in combination with the fluctuating characteristics of the system in the determination of the current. We find different situations in which both the absolute value and the direction of the current depend not only on the properties of the potential but also on the parameters characterizing the alpha-stable Levy noise. Among other features, we analyze the case of supersymmetric potentials. In particular, we show that a static supersymmetric potential produces no current, and we analyze the conditions for observing a nonvanishing current when the potential fluctuates between different supersymmetric profiles. DOI: 10.1103/PhysRevE.87.022105

• 出版日期2013-2-7