1999/08/05 by M. Reza Sadr-Lahijany, Antonio Scala, Sergey V. Buldyrev +3 · 5 citations
Engineering · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.60.6714
22 pages, 7 figures
arxiv created 1999/08/05 · openalex publication_date 1999/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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).