有限温度下非相对论性状态方程中的因果关系
Enforcing causality in nonrelativistic equations of state at finite temperature
摘要：
我们提出了一种物理上一致的方法，通过该方法可以修改基于非相对论性势模型的状态方程，使它们在高密度下，在零温度和有限温度（熵）下都尊重因果关系。我们使用的高密度相参数化的著名的APR模型在其纯中子物质配置作为一个例子来说明该方法的应用。我们还表明，只有接触相互作用的模型，绝热声速是独立的温度在很大的温度极限。这个特性对于有限程相互作用的模型也是近似有效的，只要它们引入朗道有效质量的温度依赖性很弱。此外，我们的研究表明，在热和致密物质的第一原理非相对论模型中，必须在高密度下筛选高于两体相互作用的贡献，以保持因果关系。
英文摘要：
We present a thermodynamically consistent method by which equations of state based on nonrelativistic potential models can be modified so that they respect causality at high densities, both at zero and finite temperature (entropy). We illustrate the application of the method using the high density phase parametrization of the well known APR model in its pure neutron matter configuration as an example. We also show that, for models with only contact interactions, the adiabatic speed of sound is independent of the temperature in the limit of very large temperature. This feature is approximately valid for models with finite-range interactions as well, insofar as the temperature dependence they introduce to the Landau effective mass is weak. In addition, our study reveals that in first principle nonrelativistic models of hot and dense matter, contributions from higher than two-body interactions must be screened at high density to preserve causality.
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