On the amplification of diffusion on piecewise linear potentails by direct current

TL;DR

This paper investigates how external static forces influence diffusion in tilted piecewise linear potentials, revealing sensitivity to potential symmetry and a plateau in randomness at low temperatures.

Contribution

It uncovers the dependence of diffusion enhancement on potential symmetry and identifies a plateau in the randomness factor at low temperatures.

Findings

Diffusion coefficient enhancement depends on potential symmetry.

Randomness factor shows plateau behavior at low temperatures.

External static force significantly influences diffusion in tilted potentials.

Abstract

The diffusive motion of overdamped Brownian particles in tilted piecewise linear pontentials is considered. It is shown that the enhancement of diffusion coefficient by an external static force is quite sensitive to the symmetry of periodic potential. Another new effect found is that the factor of randomness as a function of the tilting force exibits a plateau-like behaviour in the region of low temperatures.