Is equilibrium always an entropy maximum?
Abstract
A systematic development is given of the view that in the case of systems with longrange forces and which are therefore nonextensive (in some sense) some thermodynamic results do not hold. Among these is the relation U  TS + pΝ = Μ N and the GibbsDuhem 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.
 Publication:

Journal of Statistical Physics
 Pub Date:
 April 1984
 DOI:
 10.1007/BF01017372
 Bibcode:
 1984JSP....35..159L
 Keywords:

 Concavity;
 nonextensivity;
 superadditivity;
 thermodynamic;
 functions