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

软物质系统的三维高斯核心模型 (GCM) 具有排斥粒子间相互作用的潜力 $\phi \left(r\right)=\epsilon \text{经验值}[-{(r/\sigma )}^2],$ 和 $r$ 一对原子之间的距离，以及正常数 $\epsilon$ 和 $\sigma$ 分别设置能量和长度尺度。 $\phi \left(r\right)$主要是柔软的，没有流体模型中典型的硬核。我们计算出热力学 Ricci 曲率标量$\mathrm{电阻}$ 对于 GCM，特别注意 $\mathrm{电阻},$根据先前的结果，预计对排斥/有吸引力的微观相互作用是积极的/消极的。在大部分热力学相空间中，$\mathrm{电阻}$ 被发现是正的，值的数量级 ${\sigma }^3$. 然而，对于低密度和温度，GCM 势具有硬球排斥系统的特征，并且$\mathrm{电阻}$发现有异常负号。早先在硬球极限的逆幂律势中也发现了这样的符号，并且似乎是硬球模型的一个持久特征。