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By using Newtonian mechanics, we construct a general model of Maxwell'sdemon, a system in which the engine and the memory interact only through theexchange of information. We show that the Jarzynski relation and the twoSagawa-Ueda relations hold simultaneously, and argue that they are the uniquetriplet which has a natural decomposition property. The uniqueness provides astrong support to the assertion that the mutual information is the keyquantity.

Unified Jarzynski and Sagawa-Ueda relations for Maxwell's demon