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Phys. Rev. E 54, R5–R8 (1996)

Collective transport of particles in a "flashing" periodic potential

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Imre Derenyi1,* and Armand Ajdari2,†
1Department of Atomic Physics, Eötvös University, Budapest, Puskin u 5-7, 1088 Hungary
2Laboratoire de Physico-Chimie Théorique, ESPCI, 10 rue Vauquelin, F-75231 Paris Cédex 05, France

Received 2 April 1996; published in the issue dated July 1996

We consider the collective motion of finite size Brownian particles induced by a one-dimensional, spatially asymmetric, periodic potential which is turned "on" and "off" dichotomously. The particles interact through simple hard-core repulsion. We show analytically that this simple system exhibits an interesting collective behavior: (i) the direction of motion can change many times as the density of particles is increased; (ii) close to the maximal density, the average velocity depends on the size of the particles in a very complex way, both in sign and magnitude.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.54.R5
DOI:
10.1103/PhysRevE.54.R5
PACS:
05.40.+j, 05.60.+w, 87.10.+e

*Electronic address: derenyi@hercules.elte.hu

Electronic address: armand@turner.pct.espci.fr