Abstract

Thermal conduction of the Frenkel-Kontorova (FK) lattices with interfacial coupling is investigated numerically. The results indicate that: (i) For appropriate lattice periods, as the system is symmetric, a bidirectional negative differential thermal resistance (NDTR) phenomenon will appear. If the system is asymmetric, the bidirectional NDTR is gradually converted into an unidirectional NDTR. (ii) The bidirectional NDTR phenomenon effect also depends on the period of the FK lattice as the other parameters remains unchanged. With the increment of the lattice period, the bidirectional NDTR will gradually disappear. (iii) From a stochastic dynamics point of view, thermal transport properties of the system are determined by the competition between the two types of thermal conduction: one comes from the collusion between atoms, the other is due to the elastic coupling between atoms. For the smaller lattice periods, the former type of thermal conduction occupies the dominating position and the NDTR effect will appear.

Highlights

  • One has focused on energy problems for existence and continuable development of mankind.[1]

  • With the increment of the lattice period, the bidirectional negative differential thermal resistance (NDTR) will gradually disappear. (iii) From a stochastic dynamics point of view, thermal transport properties of the system are determined by the competition between the two types of thermal conduction: one comes from the collusion between atoms, the other is due to the elastic coupling between atoms

  • It is well known that the thermal current of the system depends on two types of thermal conduction: one comes from the collusion between atoms, the other is due to the elastic coupling between atoms

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Summary

INTRODUCTION

One has focused on energy problems for existence and continuable development of mankind.[1]. Due to the lower thermoelectric conversion efficiency, some interesting progress has been made in the thermal conduction of nonlinear lattices and hoped to manipulate heat flow with electronic analogs and beyond.[2,3] In addition to electrons and photons, phonons carry both heat and information. The NDTRs in previous research work are unidirectional, i.e., occur in either positive or negative temperature difference. It is found that the NDTR can take place both positive and negative temperature differences in the following work, being bidirectional. We will investigate numerically a bidirectional NDTR phenomenon occurring in two segments of coupled FK nonlinear lattices, and open up conditions and mechanism of the NDTR phenomenon. The bidirectional NDTR phenomenon and its physical mechanism in the FK lattices are discussed in detail.

MODEL AND THEORY
RESULTS AND DISCUSSIONS
CONCLUSIONS
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