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Controlling heat flow through inter-chain coupling

  Energy and information transports on networks, such as the metabolism network, neuronal network, porous material network,and oil production network, etc., have been studied fora long time and is recently getting more attention becauseof the hectic activity in the complex networks and the greatprogress in nanoscale fabrication technology where the naotube/nanowire networks can be made for different purposes. It is found that the electric transportchanges linearly with the number of added bonds. The whole resistance of network can be figured out by the Kirchhoffsecond law for the complicated parallel and serial electriccircuit .
  However, little is known about heat conduction in the complex networks, although some progress has been achieved inthe study of heat conduction in single one dimensional chains(See Ref.and the references therein). The fundamental question for heat conduction in one dimensional chains is thatwhat is the necessary and/or sufficient condition for the heatconduction to obey the Fourier law. From computer simulations,conveyor chain is found that in 1D nonlinear lattices with onsitepotential such as the Frenkel-Kontorova (FK) model andthe 4 model, the heat conduction obeys the Fourier¨s law,namely, the heat conductivity is size independent, whichis also called normal heat conduction. Whereas in other nonline arlattices without on-site potential, thus momentum isconserved, such as the Fermi-Pasta-Ulam (FPU) and alikemodels, the heat conduction exhibits anomalous behavior,namely the heat conductivity diverges with the system sizeN as A great effort has been devoted to understandthe physical origin and the value of the divergent exponent. It is found that the anomalous heat conductionis due to the anomalous diffusion and a quantitative connectionbetween them has been established. Most recently,we found that both the normal and anomalous heat conductioncan be described by an effective phonon theory under thesame framework.
  More importantly, it is found that a single 1D conveyor chain consistsof two different lattices exhibit very interesting physicalphenomena such as thermal rectification[15] and negative differentialthermal resistance. Experimental on nanotubehas verified the rectification. Opening up a new field ofcontrolling heat flow fromsimple (or complex) nano scale networks.
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