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We study heat conduction in a harmonic crystal whose bulk dynamics issupplemented by random reversals (flips) of the velocity of each particle at arate $\lambda$. The system is maintained in a nonequilibrium stationarystate(NESS) by contacts with Langevin reservoirs at different temperatures. Weshow that the one-body and pair correlations in this system are the same (afteran appropriate mapping of parameters) as those obtained for a model withself-consistent reservoirs. This is true both for the case of equal andrandom(quenched) masses. While the heat conductivity in the NESS of the orderedsystem is known explicitly, much less is known about the random mass case. Herewe investigate the random system, with velocity flips. We improve the bounds onthe Green-Kubo conductivity obtained by C.Bernardin. The conductivity of the 1Dsystem is then studied both numerically and analytically. This sheds some lighton the effect of noise on the transport properties of systems with localizedstates caused by quenched disorder.

Heat conduction in disordered harmonic lattices with energy conserving noise