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 |
| Е-mail | ES_Denisova@mail.ru |
| 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) |
| DOI | |
| 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. |
| Annotation |
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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List of References |
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