Multi-resonance of energy transport and absence of heat pump in a force-driven lattice

TL;DR

This paper explores how energy transport in a driven Frenkel-Kontorova lattice exhibits multiple resonance peaks and confirms that heat pumping does not occur in this system, advancing understanding of nano-scale energy control.

Contribution

It reveals the emergence of multiple resonance peaks in energy transport and clarifies the physical mechanism behind this phenomenon in a nonlinear lattice model.

Findings

Multiple resonance peaks occur in energy transport.

Comparison with harmonic chain explains resonance mechanism.

Heat pumping is absent in the force-driven lattice.

Abstract

Energy transport control in low dimensional nano-scale systems has attracted much attention in recent years. In this paper, we investigate the energy transport properties of Frenkel-Kontorova lattice subject to a periodic driving force, in particular, the resonance behavior of the energy current by varying the external driving frequency. It is discovered that in certain parameter ranges, multiple resonance peaks, instead of a single resonance, emerge. By comparing the nonlinear lattice model with a harmonic chain, we unravel the underlying physical mechanism for such resonance phenomenon. Other parameter dependencies of the resonance behavior are examined as well. Finally, we demonstrate that heat pumping is actually absent in this force-driven model.