Thermodynamic geometry of the Gaussian core model fluid

The three-dimensional Gaussian core model (GCM) for soft-matter systems has repulsive interparticle interaction potential ? ( r ) = ? exp [ ? / ? 2 ] , with the distance between a pair of atoms, and positive constants setting energy length scales, respectively. is mostly soft in character, without typical hard present fluid models. We work out thermodynamic Ricci curvature scalar R GCM, particular attention to sign which, based on previous results, expected be positive/negative microscopic interactions repulsive/attractive. Over most phase space, found positive, values order 3 . However, low densities temperatures, GCM takes character hard-sphere system, have an anomalous negative sign. Such was also earlier inverse power law potentials limit, seems persistent feature