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Nonequilibrium stationary state of a harmonic crystal with alternating masses

Nonequilibrium stationary state of a harmonic crystal with alternating masses

We analyze the non-equilibrium steady states (NESS) of a one dimensional harmonic chain of $N$ atoms with alternating masses connected to heat reservoirs at unequal temperatures. We find that the temperature profile defined through the local kinetic energy $T(j) \equiv {<p_j^2>}/{m_j}$, oscillates with period two in the bulk of the …