Liquid State Anomalies for the Stell-Hemmer Core-Softened Potential
Abstract
We study the Stell-Hemmer potential using both analytic (exact 1d and approximate 2d) solutions and numerical 2d simulations. We observe in the liquid phase an anomalous decrease in specific volume and isothermal compressibility upon heating, and an anomalous increase in the diffusion coefficient with pressure. We relate the anomalies to the existence of two different local structures in the liquid phase. Our results are consistent with the possibility of a low temperature/high pressure liquid-liquid phase transition.
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