Variance of the Coordinates of Localization for Particles in a Random Sawtooth Potential

Authors E.S. Denisova
Affiliations Sumy State University, 2, Rimsky-Korsakov Str., 40007, Sumy, Ukraine
Issue Volume 1, Year 2009, Number 2
Dates Received 21 October 2009, in final form 18 November 2009
Citation E.S. Denisova, J. Nano- Electron. Phys. 1 No2, 60 (2009)
PACS Number(s) 05.60.Cd, 05.10.Gg
Keywords Ratchet systems, Random sawtooth potential, Directed transport, Variance of coordinates, Particles localization, Root-mean-square displacement.
A new regime of the directed transport of particles in a random sawtooth potential driven by an alternating external force is studied. For this transport regime, which is characterized by zero average velocity of particles and a finite transport distance, the variance of coordinates of particles localization is calculated exactly and analyzed for a particular case of the random sawtooth potential. It has been established that the variance plays an important role in this transport regime. In particular, the root-mean-square displacement of particles can essentially exceed their average displacement in the preferred direction.

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