Free-energy landscape of simple liquids near the glass transition

Properties of the free-energy landscape in phase space of a dense hard-sphe re system characterized by a discretized free-energy functional of the Rama krishnan-Yussouff form are investigated numerically. A considerable number of glassy local minima of the free energy are located and the distribution of an appropriately defined 'overlap' between minima is calculated. The pro cess of transition from the basin of attraction of a minimum to that of ano ther one is studied using a new 'microcanonical' Monte Carlo procedure, lea ding to a determination of the effective height of free-energy barriers tha t separate different glassy minima. The general appearance of the free-ener gy landscape resembles that of a putting green: deep minima separated by a fairly Rat structure. The growth of the effective free-energy barriers with increasing density is consistent with the Vogel-Fulcher law, and this grow th is primarily driven by an entropic mechanism.