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An equation of state for an ideal gas with a small number of particles isstudied. The resulting equation is found to differ from that expected inconventional thermodynamics, which is strikingly illustrated when consideringthe traditional thermodynamic problem of Maxwell's demon. We clarify themechanism of this different feature of thermodynamics arising in small systems.Comment: 5 pages, 4 figure

Equation of state in a small system: Violation of an assumption of Maxwell's demon