Eur. Phys. J. B (2016) 89: 211
https://doi.org/10.1140/epjb/e2016-70288-x

Regular Article

Anomalous transport and diffusion phenomena induced by biharmonic forces in deformable potential systems

¹ Laboratory of Mechanics, Materials and Structures, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
² Centre d’Excellence en Technologies de l’Information et de la Communication (CETIC), University of Yaoundé I, Yaoundé, Cameroon

^a e-mail: kdjuidje@yahoo.fr

Received: 9 May 2016
Received in final form: 28 June 2016
Published online: 3 October 2016

Abstract

We study transport properties of an inertial Brownian motor which moves in a deformable Remoissenet-Peyrad periodic potential and is subjected to both a static bias force and time periodic driving biharmonic force. By modifying the shape of the potential, the anomalous transport is identified for a particular set of the system parameters. For a particular potential shape, the mean velocity of a particle is modified by going from negative to positive values according to the external bias force. These features also depend on both the biharmonic parameter and the phase-lag of two signals. A remarkable transition of the negative velocity depending on the shape of the potential is observed. We also focus on the efficiency of the motor and discuss velocity fluctuation. In addition, within selected system parameters, different types of diffusion particle such as subdiffusion, superdiffusion, normal diffusion, ballistic diffusion, hyperdiffusion and dispersionless transport phenomena are generated in the system.