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Energy transport control in low dimensional nano-scale systems has attractedmuch attention in recent years. In this paper, we investigate the energytransport properties of Frenkel-Kontorova lattice subject to a periodic drivingforce, in particular, the resonance behavior of the energy current by varyingthe external driving frequency. It is discovered that in certain parameterranges, multiple resonance peaks, instead of a single resonance, emerge. Bycomparing the nonlinear lattice model with a harmonic chain, we unravel theunderlying physical mechanism for such resonance phenomenon. Other parameterdependencies of the resonance behavior are examined as well. Finally, wedemonstrate that heat pumping is actually absent in this force-driven model.

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