论文标题
各向同性蓝光 - 帝国 - 长石模型的Ruppeiner几何形状
Ruppeiner geometry of isotropic Blume-Emery-Griffiths model
论文作者
论文摘要
借助Ruppeiner热力学度量，在偶极（$ M $）和四极（$ q $）订单参数的二维相空间上定义，我们在等型Blume-Emery-Griffiths模型中得出了RICCI标量（$ r $）的表达式。 $ r $的温度依赖性针对双线性比例比（$ r $）的各种值进行了研究。它的行为在连续/不连续的相变温度和三智度点附近。已经发现，除了与相变相关的差异奇异性和有限跳跃外，RICCI标量中还依赖于场依赖于场的宽极端。
With the aid of Ruppeiner thermodynamic metric defined on a two-dimensional phase space of dipolar ($m$) and quadrupolar ($q$) order parameters, we derive an expression for the Ricci scalar ($R$) in the isotropic Blume-Emery-Griffiths model. Temperature dependence of $R$ is investigated for various values of bilinear to biquadratic ratio ($r$). Its behavior near the continuous/discontinuous phase transition temperatures and a tricritical point is presented. It is found that in addition to the divergence singularity and finite jumps connected with the phase transitions there are field-dependent broad extrema in the Ricci scalar.
