Bimodal response in periodically driven diffusive systems

TL;DR

This paper investigates how one-dimensional diffusive systems respond to periodic boundary driving, revealing a frequency-dependent crossover in dominant exciton modes that depends on system size and correlations.

Contribution

It demonstrates that the frequency-dependent crossover in exciton modes is a universal feature of diffusive systems, supported by analytic calculations.

Findings

Crossover from short to long wavelength modes with frequency

Boundary-driven response decays inversely with system size

Behavior is universal across diffusive systems with or without correlations

Abstract

We study the response of one dimensional diffusive systems, consisting of particles interacting via symmetric or asymmetric exclusion, to time-periodic driving from two reservoirs coupled to the ends. The dynamical response of the system can be characterized in terms of the structure factor. We find an interesting frequency dependent response -- the current carrying majority excitons cyclically crosses over from a short wavelength mode to a long wavelength mode with an intermediate regime of coexistence. This effect being boundary driven, decays inversely with system size. Analytic calculations show that this behavior is common to diffusive systems, both in absence and presence of correlations.