Lennard-Jones binary mixture: A thermodynamical approach to glass transition

We study the liquid-glass transition of the Lennard-Jones binary mixture introduced by Kob and Andersen from a thermodynamic point of view. By means of the replica approach, translating the problem in the study of a molecular liquid, we study the phase transition due to the entropy crisis and we find that the Kauzmann's temperature T(K) is similar to 0.32. At the end we compare analytical predictions with numerical results. (C) 2000 American Institute of Physics. [S0021-9606(00)50106-8].