Generic Structures in Parameter Space and Ratchet Transport

TL;DR

This paper investigates the presence and properties of stable ratchet transport structures in parameter spaces, revealing their generic shapes and implications for optimizing ratchet current efficiency.

Contribution

It demonstrates the existence of isoperiodic stable structures in various parameter spaces and highlights their generic shapes and alignment, advancing understanding of ratchet transport.

Findings

Stable structures align along preferred directions in parameter space

Ratchet current is larger inside these structures

Results support the generic properties of these structures in ratchet transport

Abstract

This work reports the existence of Isoperiodic Stable Ratchet Transport Structures in the parameter spaces dissipation versus spatial asymmetry and versus phase of a ratchet model. Such structures were found [Phys. Rev. Lett. 106, 234101 (2011)] in the parameter space dissipation versus amplitude of the ratchet potential and they appear to have generic shapes and to align themselves along preferred directions in the parameter space. Since the ratchet current is usually larger inside these structures, this allows us to make general statements about the relevant parameters combination to obtain an efficient ratchet current. Results of the present work give further evidences of the suggested generic properties of the isoperiodic stable structures in the context of ratchet transport.