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Multilinearity of the covariances in one-dimensional models out of equilibrium

Multilinearity of the covariances in one-dimensional models out of equilibrium

We consider non-equilibrium steady states of one-dimensional models of heat conduction (or wealth exchange) which are coupled to boundary reservoirs. We give necessary and sufficient conditions under which the covariances in the stationary measure are multilinear. The conditions depend only on the first two moments of the reservoir measures and …