恒星的星核区坍缩与物态方程(一)——坍缩计算输入物理因素

计算物理 ›› 1987, Vol. 4 ›› Issue (3): 317-328.

恒星的星核区坍缩与物态方程(一)——坍缩计算输入物理因素

王贻仁¹, 黄维章¹, 张锁春¹, 张天树²

1. 中国科学院应用数学研究所;
2. 应用物理与计算数学研究所、北京

收稿日期:1986-12-13 出版日期:1987-09-25 发布日期:1987-09-25

STELLAR CORE COLLAPSE AND EQUATION OF STATE (Ⅰ)——IMPUTTING PHYSICS FACTOR OF COLLAPSE CALCULATION

Wang Yi-ren¹, Huang Wei-zhang¹, Zhang Suo-chun¹, Zhang Tian-shu²

1. Institute of Applied Math. Acadimia Sinica;
2. Institute of Applied Phys. and Computational Math

Received:1986-12-13 Online:1987-09-25 Published:1987-09-25

摘要/Abstract

摘要： 本文采用由自由核子,α粒子及平均重核组成的核统计平衡模型描述由自由核子和许多种类原子核组成的系铣。由半径验核质量及核激发态熵公式描述核的性质,给定系统温度、密度及电子浓度y_e,由系统自由能在电中性及强子数守恒约束下求极小得我们的物态方程EOS(Ⅰ),并与E1 Eid等物态方程(在密度ρ~10⁹-10¹²g cm^-3)和与Lgmb等物态方程(在ρ~10¹²-10¹⁴g cm^-3,ye=0.3,σ=1.5k)作了比较,符合程度较好。本文对电子俘获率也作了更细致的考虑。

Abstract: In this paper, the properties of system consisting of various nuclear species and free nucleons are described by a nuclear statistical equilibrium system consisting of a typical heavy nucleus, a particles, free neutrons and protons.starting from a semiempirical expression for the mass of the heavy nucleus and the entropy (energy) of their excited states, an equation of state is developed by a restricted minimization of the total free energy of a fixed volume of matter at given temperature and electron fraction.his scheme gave good agreement with the equation of El Eid & Hillebrandt at density 10⁹-10¹²g cm^-3 and with lamb et al (ILPR's equation of state at density 10¹²-10¹⁴g cm^-3,ye=3,σ/k=1.5k.The imput physics such as the rate of electron capture on matter has been treated also more carefully.

王贻仁, 黄维章, 张锁春, 张天树. 恒星的星核区坍缩与物态方程(一)——坍缩计算输入物理因素[J]. 计算物理, 1987, 4(3): 317-328.

Wang Yi-ren, Huang Wei-zhang, Zhang Suo-chun, Zhang Tian-shu. STELLAR CORE COLLAPSE AND EQUATION OF STATE (Ⅰ)——IMPUTTING PHYSICS FACTOR OF COLLAPSE CALCULATION[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1987, 4(3): 317-328.