论文标题
配置熵作为紧凑对象的稳定性条件的探针
Configurational entropy as a probe of the stability condition of compact objects
论文作者
论文摘要
我们系统地扩展了以下陈述，即配置熵为研究紧凑型物体的重力稳定性提供了一种替代方法，该方法是在M. Gleiser M. Gleiser和N. Jiang的先前工作中进行的。修订版D {\ bf 92}，044046（2015）。受到该论文的启发，我们试图回答至关重要的问题：配置熵的最小值与每个现实状态方程的稳定点之间是否有任何对应关系？鉴于上述问题，我们专注于中子恒星，夸克恒星以及第三个紧凑型恒星（混合恒星），其中可能的相变可能会导致存在双星（恒星等于质量但半径不同）。在每种情况下，我们都会使用一系列状态方程，研究了从传统的扰动方法获得的稳定区域之间的相关性与通过构型熵最低获得的相关性之间的相关性。我们发现，关于中子星和夸克恒星的构型熵的最小化对稳定性的建议预测至少没有定量的通用有效性。但是，在某些情况下，它在定性上预测了稳定点的存在。总之，可以将构型熵视为一种附加工具，该工具进入箭袋，用于研究紧凑物体的稳定性，例如中子和夸克恒星，但考虑到预测的准确性取决于每个状态方程的特定特征。
We systematically extend the statement that the configurational entropy provides an alternative approach to studying gravitational stability of compact objects, carried out in the previous work of M. Gleiser and N. Jiang, Phys. Rev. D {\bf 92}, 044046 (2015). Inspired by that paper, we try to answer the crucial question: Is there any one-to-one correspondence between the minimum of the configurational entropy and the stability point for each realistic equation of state? In view of the above question, we focus on neutron stars, quark stars, as well as on the third family of compact stars (hybrid stars), where a possible phase transition may lead to the existence of twin stars (stars with equal mass but different radius). In each case, we use a large set of equations of state investigating the possibility to find correlations between the stability region obtained from the traditional perturbation methods to the one obtained by the minimum of configurational entropy. We found that the suggested prediction of the stability by the minimization of the configurational entropy, concerning neutron stars and quark stars, does not have, at least quantitatively, universal validity. However, in several cases it qualitatively predicts the existence of the stability point. In conclusion, the configurational entropy, can be considered as an additional tool which enters into the quiver for studying the stability of compact objects such as for example neutron and quark stars, but taking into account that the accuracy of the predictions depends on the specific character of each equation of state.
