Abstract
A systematic development is given of the view that in the case of systems with long-range forces and which are therefore nonextensive (in some sense) some thermodynamic results do not hold. Among these is the relationU − TS + pΝ = ΜN and the Gibbs-Duhem equation. If a search for an equilibrium state is made by maximization of the entropy one may obtain misleading results because superadditivity may be violated. The considerations are worked out for a simple gas model, but they are relevant to black hole thermodynamics. Rather general conclusions can be drawn which transcend special systems.
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Based on a seminar given at the University of Florida, April 1983.
On leave of absence from the Faculty of Mathematical Studies, University, Southampton S09 5NH, England.
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Landsberg, P.T. Is equilibrium always an entropy maximum?. J Stat Phys 35, 159–169 (1984). https://doi.org/10.1007/BF01017372
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DOI: https://doi.org/10.1007/BF01017372