Directional transport induced by elasticity and volume exclusion

TL;DR

This paper presents an exactly solvable 1D model demonstrating how elasticity and volume exclusion together induce directional transport by breaking microscopic symmetry, supported by analytical and numerical results.

Contribution

It introduces a novel exactly solvable model highlighting the combined role of elasticity and volume exclusion in directional transport.

Findings

Elasticity and volume exclusion are key to directional transport.

Analytical results match numerical simulations.

Broken microscopic symmetry leads to macroscopic motion.

Abstract

We investigate an exactly solvable model for directional transport in 1D. The structured system, which has strong elastic interactions in its parts, explicitly demonstrates the role of volume exclusion in producing directional transport. We capture the complementary role of the elasticity and volume exclusion as the basic ingredient for showing up of broken microscopic symmetry at the scale of macroscopic motions. We compare the analytic results with the numerical simulation.