Controlling Chaotic transport on Periodic Surfaces

TL;DR

This paper investigates how to control chaotic particle transport on periodic surfaces by analyzing symmetries and parameter sensitivities, providing analytical estimates and numerical validation for different transport regimes.

Contribution

It introduces a method to control and characterize chaotic transport on periodic surfaces through symmetry analysis and parameter tuning, without relying on ratchet effects.

Findings

Different chaotic transport scenarios identified and characterized.

Analytical estimates for transport regimes provided and validated.

Transport scenarios highly sensitive to asymmetry parameters.

Abstract

We uncover and characterize different chaotic transport scenarios on perfect periodic surfaces by controlling the chaotic dynamics of particles subjected to periodic external forces in the absence of a ratchet effect. After identifying relevant {\it symmetries} of chaotic solutions, analytical estimates in parameter space for the occurrence of different transport scenarios are provided and confirmed by numerical simulations. These scenarios are highly sensitive to variations of the system's asymmetry parameters, including the eccentricity of the periodic surface and the direction of dc and ac forces, which could be useful for particle sorting purposes in those cases where chaos is unavoidable.