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The static free energy of glassy systems can be expressed in terms of theParisi order parameter function. When this function has a discontinuity, thelocation of the step is determined by maximizing the free energy. In dynamics atransition is found at larger temperature, while the location of the stepsatisfies a marginality criterion. It is shown here that in a replicacalculation this criterion minimizes the free energy. This leads to first orderphase transitions at the dynamic transition point. Though the order parameterfunction is the same as in the long-time limit of a dynamical analysis,thermodynamics is different.Comment: 4 pages PostScript, one figur

To Maximize or Not to Maximize the Free Energy of Glassy Systems