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Abstract: We consider a one-dimensional harmonic crystal with conservative noise, incontact with two stochastic Langevin heat baths at different temperatures. Thenoise term consists of collisions between neighbouring oscillators thatexchange their momenta, with a rate $\gamma$. The stationary equations for thecovariance matrix are exactly solved in the thermodynamic limit $N\to\infty$.In particular, we derive an analytical expression for the temperature profile,which turns out to be independent of $\gamma$. Moreover, we obtain an exactexpression for the leading term of the energy current, which scales as$1-\sqrt{\gamma N}$. Our theoretical results are finally found to be consistentwith the numerical solutions of the covariance matrix for finite $N$.



Autor: Stefano Lepri, Carlos Mejia-Monasterio, Antonio Politi

Fuente: https://arxiv.org/







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