Anomalous mobility of Brownian particles in a tilted symmetric sawtooth potential

Abstract

Overdamped motion of Brownian particles in a 1D periodic system with a simple symmetric sawtooth potential subjected to both unbiased thermal noise and spatially nonhomogeneous three-level colored noise is considered analytically. Upon application of a tilting force the particles exhibit anomalous transport properties, namely, absolute negative mobility, negative differential mobility, and the phenomenon of hypersensitive differential response. It is established that the mobility (differential mobility included) depends nonmonotonically on the parameters (switching rate, amplitude, and temperature) of nonequilibrium and thermal noises. The necessary conditions for various anomalous transport properties are found.

Forcing inertial Brownian motors: Efficiency and negative differential mobility

“…Here, we will demonstrate that a rocked, inertial Brownian motor degree of freedom, if put to work against a load, can exhibit negative differential mobility. This striking phenomenon has been observed within a quantum mechanical setting for electron transfer phenomena [29] or for ac-dc-driven tunnelling transport [30], in the dynamics of cooperative Brownian motors [31,32,33], Brownian transport with complex topology (entropic ratchets) [34,35,36,37,38,39] and in some stylized, multistate models with state-dependent noise [40,41], to name but a few. Furthermore, we also investigate the efficiency for this forced Brownian inertial transport; in this case, it is possible to devise and to compare several qualifiers characterizing the efficiency of energy conversion and of rectification.…”

Negative mobility and sorting of colloidal particles

“…14,15 A Bielefeld University and member of the North Rhine-Westphalian academy of science. His main research interests are single molecule biophysics, AFM imaging and spectroscopy, systems nanobiology and micro-and nanofluidics.…”

Facilitated movement of inertial Brownian motors driven by a load under an asymmetric potential

“…Absolute negative mobility is the rather surprising opposite behavior in the form of a permanent motion against a (not too large) static force of whatever direction. Haljas and co-workers [13] had found that an interplay of three-level colored and thermal noises can also generate the phenomenon of absolute negative mobility. In this Brief Report, we extend the previous work [12] to case of an asymmetric potential.…”