We introduce a theoretical framework to analyze the thermal properties of a recently proposed “excluded volume” model of quarkyonic matter. This entails proposing finite temperature distribution functions and entropy functionals constrained by internal theoretical consistency. We use the formalism developed here to analyze the effect of temperature on the quark onset as a function of baryon density. We find that the baryon density at which the quarkyonic phase emerges decreases only slightly with temperature, an effect produced by large $N_c$. We furthermore find that a finite temperature increases the density of quarks produced. The framework presented here can be used to compute the equation of state of hot and dense quarkyonic matter which is of relevance to neutron star mergers.

我们介绍了一个理论框架来分析最近提出的四元物质“排除体积”模型的热性质。这需要提出受内部理论一致性约束的有限温度分布函数和熵函数。我们使用此处开发的形式主义来分析温度对夸克起始的影响，作为重子密度的函数。我们发现，四元数相出现的重子密度随温度仅略有下降，这是由大分子产生的。${ñ}_C$。我们还发现，有限的温度会增加产生的夸克的密度。此处介绍的框架可用于计算与中子星合并有关的热和稠密四元物质的状态方程。