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Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

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Brownian Asymmetric Simple Exclusion Process.

Dominik Lips¹, Artem Ryabov², Philipp Maass¹

¹Universität Osnabrück, Fachbereich Physik, Barbarastraße 7, D-49076 Osnabrück, Germany.

Physical Review Letters

|November 3, 2018

Summary

This summary is machine-generated.

Particle size significantly alters steady-state current in driven Brownian motion. This research reveals how particle size impacts current-density relations and predicts new nonequilibrium phases, crucial for understanding driven systems.

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Area of Science:

Statistical Mechanics
Soft Condensed Matter Physics
Nonlinear Dynamics

Background:

Driven Brownian motion is a fundamental model for understanding nonequilibrium systems.
Hard rod interactions introduce complex collective behaviors not seen in point particles.
Cosine potentials are relevant for various physical systems, including molecular motors and crystal growth.

Purpose of the Study:

To investigate the influence of particle size on the steady-state current of hard rods in a driven 1D cosine potential.
To explore the emergence of novel current-density relations and nonequilibrium phases.
To elucidate the underlying mechanisms, including barrier reduction, blocking, and exchange symmetry.

Main Methods:

Numerical simulations of driven Brownian motion for hard rods.
Analysis of steady-state current as a function of particle density and size.
Investigation of closed and open system dynamics.

Main Results:

The current-density relation exhibits complex behavior, including local maxima and minima, strongly dependent on particle size.
An exchange symmetry effect leads to a current matching noninteracting particles when particle size is commensurate with the potential period.
Five distinct nonequilibrium steady-state phases are predicted for open systems.

Conclusions:

Particle size is a critical factor driving nonequilibrium phase transitions in driven systems.
The interplay of particle size, density, and potential characteristics dictates system behavior.
Findings offer insights into the design and interpretation of experiments on driven soft matter systems.