My colleague Paul Glansdorff and I have investigated the problem as to if the results of near-equilibrium can be extrapolated to those of far - from-equilibrium situations and have arrived at a surprising conclusion: Contrary to what happens at equilibrium, or near equilibrium, systems far from equilibrium do not conform to any minimum principle that is valid for functions of free energy or entropy production.
Ilya Prigogine (1996) "The End of Certainty: Time, Chaos, and the New Laws of Nature". p. 64. Cited in: Ilya Prigogine at echt info. By Sadi-Carnot et all., Jan 28 2013.