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arXiv 1111.6144hep-phcond-mat.stat-mechnucl-th
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相对论平均场强子模型中核液-气相变的热量曲线

Caloric curve for nuclear liquid-gas phase transition in relativistic mean-field hadronic model

A. S. Parvan

摘要:

利用相对论平均场强子模型的势能及其一阶导数方法,在等压系综、正则系综和巨正则系综下研究了相对论平均场强子模型一级相变的主要物理性质.证明了RMF模型的一级相变是与吉布斯自由能$G$有关的液-气型相变。势函数$G$是分段光滑函数,它对状态变量的一阶偏导数是分段连续函数。我们发现,在等压和巨正则系综中,在压力和化学势分别为固定值时,热量曲线中的能量是不连续的,而在正则和微正则系综中,在重子密度为固定值时,热量曲线中的能量是连续的,即没有平台,而在温度一定时,等温线中的重子密度在等压系综和正则系综中是不连续的。确定了正则系综中核液-气相变的一般判据。

英文摘要:

The main thermodynamical properties of the first order phase transition of the relativistic mean-field (RMF) hadronic model were explored in the isobaric, the canonical and the grand canonical ensembles on the basis of the method of the thermodynamical potentials and their first derivatives. It was proved that the first order phase transition of the RMF model is the liquid-gas type one associated with the Gibbs free energy $G$. The thermodynamical potential $G$ is the piecewise smooth function and its first order partial derivatives with respect to variables of state are the piecewise continuous functions. We have found that the energy in the caloric curve is discontinuous in the isobaric and the grand canonical ensembles at fixed values of the pressure and the chemical potential, respectively, and it is continuous, i.e. it has no plateau, in the canonical and microcanonical ensembles at fixed values of baryon density, while the baryon density in the isotherms is discontinuous in the isobaric and the canonical ensembles at fixed values of the temperature. The general criterion for the nuclear liquid-gas phase transition in the canonical ensemble was identified.

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