Thermal resonance in harmonically driven segmented Frenkel-Kontorova lattices with next-nearest-neighbor interactions

TL;DR

This study investigates how next-nearest-neighbor interactions influence thermal resonance in a driven segmented Frenkel-Kontorova lattice, revealing that phonon band overlap governs resonance frequency despite increased connectivity.

Contribution

It introduces a model with NNN interactions in a driven segmented FK lattice and analyzes their impact on heat transport and thermal resonance phenomena.

Findings

NNN interactions affect the heat transport regimes.

Thermal resonance depends on phonon band overlap.

System size influences the resonance behavior.

Abstract

Problems of heat transport are ubiquitous to various technologies such as power generation, cooling, electronics, and thermoelectrics. Within this context it is natural that external heat flux control on nanoscale devices became an appealing strategy that has been explored in recent years. In this work we study the thermal resonance phenomenon, i.e., the maximum heat flux obtained by means of an external periodic driving, of a one-dimensional system composed of two dissimilar Frenkel-Kontorva lattices with both nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions connected by time-modulated NN and NNN couplings in contact with two heat reservoirs operating at different temperature. We study the effect of the NNN interactions on the various heat transport regimes afforded by the structural modifications that can be made on the model. The dependence of the thermal resonance on the system size is studied as well. Our results show that, despite the increased connectivity of both sides afforded by the NNN interactions, the overlap of the phonon bands of both parts of the system still determines the frequency range wherewith thermal resonance emerges.