Capturing the Demon in Szilard's Engine (2504.07331v2)

Abstract: In Szilard's engine, a demon measures a one-particle gas and applies feedback to extract work from thermal fluctuations, embodying Maxwell's notion that information reduces thermodynamic entropy - an apparent second-law violation. The Landauer-Bennett Thesis resolves this paradox by requiring the demon to record the measurement, which results in an entropy increase in the demon's memory. Eventually, the demon's memory needs to be erased. The erasure costs the same work as extracted previously, hence there is no violation of the second law. Though widely accepted, the fictitious memory invoked in the thesis has drawn multiple criticisms, with debates persisting over the demon's necessity. We show that the demon is the piston that partitions the space and drives the expansion. The final position of the piston after expansion records the particle's position pre-expansion: it is an ``information-bearing degree of freedom''. In this Piston-Demon Thesis, memory register and feedback (expansion) happen simultaneously. Our exposition identifies the mischievous demon as a physical degree of freedom, and greatly simplifies Szilard's engine. It also offers educators a tangible illustration of information-thermodynamics.