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      The thermodynamical liquid-glass transition in a Lennard-Jones binary mixture

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          Abstract

          We use the results derived in the framework of the replica approach to study the liquid-glass thermodynamic transition. The main results are rederived without using replicas and applied to the study of the Lennard-Jones binary mixture introduced by Kob and Andersen. We find that there is a phase transition due to the entropy crisis. We compute both analytically and numerically the value of the phase transition point \(T_{K}\) and the specific heat in the low temperature phase.

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          The structural glass transition and the entropy of the metastable states

          R Monasson (1995)
          The metastable states of a glass are counted by adding a weak pinning field which explicitly breaks the ergodicity. Their entropy, that is the logarithm of their number, is extensive in a range of temperatures \(T_G < T < T_C\) only, where \(T_G\) and \(T_C\) correspond to the ideal calorimetric and kinetic glass transition temperatures respectively. An explicit self-consistent computation of the metastable states entropy for a non disordered model is given.
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            Author and article information

            Journal
            11 June 1999
            1999-11-29
            Article
            10.1103/PhysRevLett.84.306
            cond-mat/9906172
            7f7fa264-fdba-47fc-b216-4e5bc3701633
            History
            Custom metadata
            Phys. Rev. Lett. n.84, 306 (2000)
            5 pages, 3 figures, a minor mistake corrected and the main argument simplified. Numerical precision improved. Accepted for pubblication on Phys. Rev. Lett
            cond-mat.soft cond-mat.dis-nn

            Condensed matter,Theoretical physics
            Condensed matter, Theoretical physics

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