Erratum: “Multiple current reversals and diffusion enhancement in a symmetrical periodic potential” [Chaos 22, 033125 (2012)]

Diffusion enhancement is a phenomenon in which the diffusion coefficient of a system is increased by an external force and it becomes larger than that of the force-free diffusion in thermal equilibrium. It is known that this phenomenon occurs for a Brownian particle in a periodic potential under a constant external force. Recently, it was found that diffusion enhancement also occurred in a biological molecular motor, whose moving part could move itself by switching the potentials generated by the other parts. It was shown that the diffusion coefficient exhibited peaks as a function of a constant external force. Here, we report the occurrence of an additional peak and investigate the condition governing its appearance.

Download Full-text

Transport and diffusion properties of interacting colloidal particles in two-dimensional microchannels with a periodic potential

Physical Review E ◽

10.1103/physreve.91.022313 ◽

2015 ◽

Vol 91 (2) ◽

Cited By ~ 10

Author(s):

Ullrich Siems ◽

Peter Nielaba

Keyword(s):

Colloidal Particles ◽

Periodic Potential ◽

Two Dimensional ◽

Transport And Diffusion ◽

And Diffusion ◽

Diffusion Properties

Download Full-text

Erratum: Transport and diffusion properties of interacting colloidal particles in two-dimensional microchannels with a periodic potential [Phys. Rev. E91, 022313 (2015)]

Physical Review E ◽

10.1103/physreve.93.019901 ◽

2016 ◽

Vol 93 (1) ◽

Author(s):

Ullrich Siems ◽

Peter Nielaba

Keyword(s):

Colloidal Particles ◽

Periodic Potential ◽

Two Dimensional ◽

Transport And Diffusion ◽

And Diffusion ◽

Diffusion Properties

Download Full-text

WEAK DISORDER IN PERIODIC POTENTIALS: ANOMALOUS TRANSPORT AND DIFFUSION

Fluctuation and Noise Letters ◽

10.1142/s0219477512400044 ◽

2012 ◽

Vol 11 (01) ◽

pp. 1240004 ◽

Cited By ~ 11

Author(s):

KATJA LINDENBERG ◽

J. M. SANCHO ◽

M. KHOURY ◽

A. M. LACASTA

Keyword(s):

Periodic Potential ◽

Model Parameters ◽

Weak Disorder ◽

Periodic Potentials ◽

Normal Diffusion ◽

Random Components ◽

Transport And Diffusion ◽

And Diffusion ◽

Deterministic Force ◽

Pronounced Peak

Particles driven through a periodic potential by an external constant force are known to exhibit a pronounced peak of the diffusion around the critical deterministic force that defines the transition between locked and running states. It has recently been shown both experimentally and numerically that this peak is greatly enhanced if some amount of spatial disorder is superimposed on the periodic potential. Here, we show that this enhancement is a fingerprint of a broad phenomenology that goes well beyond a simple augmentation. For some values of the model parameters, including the characteristic distances associated with the periodic and random components of the potential, the magnitude of the external force, and the temperature, the system can exhibit a rich variety of regimes from normal diffusion to superdiffusion, subdiffusion and even subtransport.

Download Full-text