论文标题
蒙特卡洛模拟在天体物理学中产生的车道填充类型方程
Monte Carlo Simulation of Lane-Emden Type Equations Arising in Astrophysics
论文作者
论文摘要
蒙特卡洛（MC）方法在人类活动的许多领域都起着至关重要的作用，并在物理科学的许多分支中都有应用。本文提出了一种基于MC算法的计算技术，以求解车道层（LE）类型方程。我们分析了在天体物理学中产生的四个LE方程：多蚀气体球的正和负指数，等温气球和白色矮人方程。我们计算了正索引多层型的11个模型（即11个LE方程），负数索引多型，等温度气体球和白色矮人方程的9个模型。比较MC和数值/分析模型为所研究的四个LE方程提供了良好的一致性。
Monte Carlo (MC) method played an essential role in many areas of human activity and has found application in many branches of physical science. This paper proposes a computational technique based on MC algorithms to solve Lane-Emden (LE) type equations. We analyze four LE equations arising in astrophysics: the positive and negative indices of the polytropic gas spheres, the isothermal gas sphere, and the white dwarf equation. We calculated eleven models (i.e., eleven LE equations) of the positive index polytropes, nine for the negative index polytrope, the isothermal gas sphere, and the white dwarf equation. Comparing the MC and numerical/analytical models gives good agreement for the four LE equations under study.
