论文标题
手性相变的波动和热力学几何形状
Fluctuations and thermodynamic geometry of the chiral phase transition
论文作者
论文摘要
我们研究了随着介体波动增强的夸克 - 梅森模型，在有限温度和化学势下的手性相变的热力学曲率，$ r $。我们研究了波动，倾斜和$σ$ -Meson的效果，在平均场热力学的顶部以及它们如何影响跨界周围的$ r $。我们发现，对于较小的化学电势，波动增强了$ r $的幅度，而它们在临界端点附近的热力学几何形状并没有实质性影响。此外，与以前的研究一致，我们发现$ r $变化的符号在伪造地区，这表明在介质水平上的相互作用性质从统计上的排斥为有吸引力。最后，我们发现在关键端点$ | r | $ scales围绕关键区域中，相关量，$ | r | = k \;ξ^3 $，带有$ k = o（1）$，如超级标准所预期的；距离关键端点很远，$ | r | $和相关量之间的对应关系不如我们在大$μ$下发现的对应关系，这并不奇怪，因为在小$μ$的情况下，手性交叉非常平滑；但是，我们发现$ r $开发了一个特征性的峰结构，这表明它仍然能够捕获冷凝水的伪造行为。
We study the thermodynamic curvature, $R$, around the chiral phase transition at finite temperature and chemical potential, within the quark-meson model augmented with meson fluctuations. We study the effect of the fluctuations, pions and $σ$-meson, on the top of the mean field thermodynamics and how these affect $R$ around the crossover. We find that for small chemical potential the fluctuations enhance the magnitude of $R$, while they do not affect substantially the thermodynamic geometry in the proximity of the critical endpoint. Moreover, in agreement with previous studies we find that $R$ changes sign in the pseudocritical region, suggesting a change of the nature of interactions at the mesoscopic level from statistically repulsive to attractive. Finally, we find that in the critical region around the critical endpoint $|R|$ scales with the correlation volume, $|R| =K\;ξ^3$, with $K = O(1)$, as expected from hyperscaling; far from the critical endpoint the correspondence between $|R|$ and the correlation volume is not as good as the one we have found at large $μ$, which is not surprising because at small $μ$ the chiral crossover is quite smooth; nevertheless, we have found that $R$ develops a characteristic peak structure, suggesting that it is still capable to capture the pseudocritical behavior of the condensate.
