Two Faces of Maxwell's Demon Reveal the Nature of Irreversibility

Collier, John. “Two faces of Maxwell’s demon reveal the nature of irreversibility.” Studies in the History and Philosophy of Science 21, no. 57-268 (1990): 22J.
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One of the most delightful thought experiments in the history of physical science is James Clerk Maxwell’s sorting demon.1 Suppose we have two adjacent chambers A and B, with a passage between them covered with a trap door that can slide open and shut on frictionless bearings. The chambers are filled with a gas at uniform temperature and pressure. In a letter to Peter Tait in late 1867, Maxwell described “a very observant and neat-fingered being” that sits by the passage between the chambers and opens the door whenever either a relatively fast moving molecule moves towards it from B, or a relatively slow moving molecule moves towards it from A.2 Gradually, the manipulations of the demon lead, without the expenditure of available energy, to a sorting of the fast moving molecules into A and the slow moving molecules into B. This lowers the temperature in B relative to A,decreasing the total entropy of the system, apparently violating of the Second Law of Thermodynamics. The exact function of the demon thought experiment remains ambiguous even today.

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