标题： 具有相变的中子星状态方程的参数表示 显示英文标题

标题： Parametric Representations of Neutron-Star Equations of State With Phase Transitions

摘要： 本文探讨了包含由相变引起的不连续性的中子星状态方程的低维参数表示方法。 评估了最优分段解析和谱表示方法在具有第一或第二阶相变且不连续性大小范围广泛的状态方程中的准确性。 这些结果表明，这些非光滑状态方程的分段解析表示是收敛的，而谱表示则不是。 然而，发现低阶（2 <= N_parms <= 7）的谱表示方法在相同参数数量的情况下比分段解析表示方法更准确。 显示英文摘要

摘要： This paper explores the use of low-dimensional parametric representations of neutron-star equations of state that include discontinuities caused by phase transitions. The accuracies of optimal piecewise-analytic and spectral representations are evaluated for equations of state having first- or second-order phase transitions with a wide range of discontinuity sizes. These results suggest that the piecewise-analytic representations of these non-smooth equations of state are convergent, while the spectral representations are not. Nevertheless, the lower-order (2 <= N_parms <= 7) spectral representations are found to be more accurate than the piecewise-analytic representations with the same number of parameters.