To maximize or not to maximize the free energy of glassy systems, !=?

Details To maximize or not to maximize the free energy of glassy systems, !=? To maximize or not to maximize the free energy of glassy systems, !=?

1995-04-13

arxiv.org/abs/cond-mat/9504056v1

Physics

Condensed Matter

4 pages PostScript, one figure

Scientific paper

10.1103/PhysRevLett.74.3463

The static free energy of glassy systems can be expressed in terms of the Parisi order parameter function. When this function has a discontinuity, the location of the step is determined by maximizing the free energy. In dynamics a transition is found at larger temperature, while the location of the step satisfies a marginality criterion. It is shown here that in a replica calculation this criterion minimizes the free energy. This leads to first order phase transitions at the dynamic transition point. Though the order parameter function is the same as in the long-time limit of a dynamical analysis, thermodynamics is different.

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