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We show that the asymmetric inter-particle interactions may induce rapiddecay of heat current autocorrelation in one-dimensional momentum conservinglattices. When the asymmetry degree and the temperature are appropriate, thedecay is sufficient rapid for resulting a convergence conductivity practically.To understand the underlying mechanism, we further studied the relaxationbehavior of the hydrodynamic modes. It is shown that for lattice with symmetricpotential, the heat mode relaxs in the superdiffusive manner, while in the caseof asymmetric potential, the heat mode may relax in the normal manner.

Why asymmetric interparticle interaction can result in convergent heat conductivity