Abstract
For general Markov processes, the Green–Kubo formula is shown to be valid under a mild condition. A class of stochastic evolution equations on a separable Hilbert space and three typical infinite systems of locally interacting diffusions on (irreversible in most cases) are shown to satisfy the Green–Kubo formula, and the Einstein relations for these stochastic evolution equations are shown explicitly as a corollary.
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More From: Journal of Physics A: Mathematical and Theoretical
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