Incollection,

Thermodynamic, Dynamic and Structural Anomalous Behavior of Simple Liquids

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

First, a clear presciption for a two-scale potential is provided. Then, we investigate the thermodynamic and the dynamic properties of particles interacting via this potential in order to show the presence of anomalies like the ones present in water. We show that, for any chosen shape of a two-scale potential, the density, at constant pressure, has a maximum for a certain temperature. The line of temperatures of maximum density (TMD) is determined in the pressure-temperature phase diagram. Similarly the diffusion constant at a constant temperature, $D$, has a maximum at a density $\rho_max$ and a minimum at a density $\rho_min<\rho_max$. In the pressure-temperature phase-diagram the line of temperature of extrema diffusivity (TED) is related to the TMD line as follows. If the potential is continuous, the TMD line lies inside the TED line, if the potential is discontinuous ( lattice or step-like), the TMD line lies outside the TED line.

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