Energy landscapes, ideal glasses, and their equation of state

Details Energy landscapes, ideal glasses, and their equation of state Energy landscapes, ideal glasses, and their equation of state

2002-12-19

arxiv.org/abs/cond-mat/0212487v1

J. Chem. Phys., 118, 8821, 2003

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 3 figures

Scientific paper

10.1063/1.1566943

Using the inherent structure formalism originally proposed by Stillinger and Weber [Phys. Rev. A 25, 978 (1982)], we generalize the thermodynamics of an energy landscape that has an ideal glass transition and derive the consequences for its equation of state. In doing so, we identify a separation of configurational and vibrational contributions to the pressure that corresponds with simulation studies performed in the inherent structure formalism. We develop an elementary model of landscapes appropriate to simple liquids which is based on the scaling properties of the soft-sphere potential complemented with a mean-field attraction. The resulting equation of state provides an accurate representation of simulation data for the Lennard-Jones fluid, suggesting the usefulness of a landscape-based formulation of supercooled liquid thermodynamics. Finally, we consider the implications of both the general theory and the model with respect to the so-called Sastry density and the ideal glass transition. Our analysis shows that a quantitative connection can be made between properties of the landscape and a simulation-determined Sastry density, and it emphasizes the distinction between an ideal glass transition and a Kauzmann equal-entropy condition.

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