Scalar curvature density as a new invariant in thermodynamic geometry: metric dependence and critical exponents

José Torres-Arenas, Jaime Jaramillo-Gutiérrez, Juan Becerra-Zamudio

We compare two Ruppeiner metrics constructed under fixed volume and fixed particle number conditions ($g_{{}_V}$ and $g_{{}_V}$) by analyzing the scalar curvature $R$ and introducing t…