Fig. 2
Zero-temperature Kauzmann transition. a Decrease of the configurational entropy with temperature using the potential energy landscape (PEL), Frenkel–Ladd (FL), and point-to-set (PTS) length estimates. The error bars for FL correspond to the ambiguity of defining the plateau regime in the mean squared displacement of the FL construction. b Once rescaled by their value at Tg, all estimates evolve nearly identically, and the collapsed data are well fitted by a quadratic function of T for T < Tg (dashed blue line: sconf(T)/sconf(Tg) = 0.01 + 1.48(T/Tg) − 0.49(T/Tg)2 indicates the quadratic fit for the point-to-set estimate). All results are consistent with a linearly vanishing sconf at TK = 0. c The specific heat, cV, obtained from the derivative of the potential energy increases monotonically above the Dulong–Petit law for d = 2 (dashed horizontal line), which is also consistent with a thermodynamic transition at TK = 0
