Ehrenfest relations at the glass transition: solution to an old paradox

Details Ehrenfest relations at the glass transition: solution to an old paradox Ehrenfest relations at the glass transition: solution to an old paradox

1997-07-24

arxiv.org/abs/cond-mat/9707260v1

Physics

Condensed Matter

Statistical Mechanics

4 pages revtex, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.79.1317

In order to find out whether there exists a thermodynamic description of the glass phase, the Ehrenfest relations along the glass transition line are reconsidered. It is explained that the one involving the compressibility is always satisfied, and that the one involving the specific heat is principally incorrect. Thermodynamical relations are presented for non-ergodic systems with a one-level tree in phase space. They are derived for a spin glass model, checked for other models, and expected to apply, e.g., to glass forming liquids. The second Ehrenfest relation gets a contribution from the configurational entropy.

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