  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.

Soft Condensed Matter;Disordered Systems and Neural Networks