Anomalous transport and diffusion of coupled Brownian particles with periodic driving forces
Faculty of Science, Kunming University of Science and Technology, 650500, Kunming, China
2 Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, GPETR Center for Quantum Precision Measurement, SPTE, South China Normal University, 510006, Guangzhou, China
Accepted: 29 September 2021
Published online: 26 October 2021
Transport and diffusion of coupled Brownian particles in a spatially periodic potential are investigated under a constant biased force and two periodic driving forces. The impact of the periodic driving forces on the transport characteristics of coupled particles is discussed by Brownian dynamic simulation methods. The force–velocity relation which has been described for the coupled particles displays complex and rich behaviors, including absolute, nonlinear and differential negative mobilities. When the particle number or the coupled strength between particles increases, the anomalous transport and multiple current reversals will gradually disappear. In addition, we analyze anomalous diffusions (subdiffusion, superdiffusion and hyperdiffusion) corresponding to these anomalous mobilities. Meanwhile, we discuss physical mechanisms behind these findings via the mean square displacement, the probability distribution of the velocity and mobility coefficient of the coupled particles. Our results may contribute to further understanding of peculiar transport phenomena in the microworld.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021