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American Physical Society, Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics, 4(63), 2001

DOI: 10.1103/physreve.63.041202

American Physical Society, Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics, 6(60), p. 6714-6721, 1999

DOI: 10.1103/physreve.60.6714

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Waterlike anomalies for core-softened models of fluids: Two-dimensional systems

Journal article published in 2001 by A. Scala ORCID, M. Reza Sadr-Lahijany, N. Giovambattista, S. V. Buldyrev, H. E. Stanley
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This paper is available in a repository.

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Abstract

We use a one-dimensional (1d) core-softened potential to develop a physical picture for some of the anomalies present in liquid water. The core-softened potential mimics the effect of hydrogen bonding. The interest in the 1d system stems from the facts that closed-form results are possible and that the qualitative behavior in 1d is reproduced in the liquid phase for higher dimensions. We discuss the relation between the shape of the potential and the density anomaly, and we study the entropy anomaly resulting from the density anomaly. We find that certain forms of the two-step square well potential lead to the existence at T=0 of a low-density phase favored at low pressures and of a high-density phase favored at high pressures, and to the appearance of a point $C'$ at a positive pressure, which is the analog of the T=0 ``critical point'' in the $1d$ Ising model. The existence of point $C'$ leads to anomalous behavior of the isothermal compressibility $K_T$ and the isobaric specific heat $C_P$. Comment: 22 pages, 7 figures