Abstract We first investigate the heat transport in a network model consisting of two coupled dimerized chains. Results indicate that the thermal resistance of each chain increases with the decrease of the mass ratio of the two types of atoms. Then, we find, when a light impurity or a heavy one is added in the two coupled homogeneous chains and coupled with a particle of another chain, the interface thermal resistances and present different dependences on the mass ratio . Finally, a persistent circulation of energy current is observed in coupled inhomogeneous chains with two pairs of interchain coupling.
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