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

We study the liquid-glass transition of the Lennard-Jones binary mixture in troduced by Kob and Andersen from a thermodynamic point of view. By means o f 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 fin d that the Kauzmann's temperature T-K is similar to 0.32. At the end we com pare analytical predictions with numerical results. (C) 2000 American Insti tute of Physics. [S0021-9606(00)50106-8].