COMPUTING POLYTROPIC AND ISOTHERMAL MODELS USING MONTE CARLO METHOD-Reference-Cited by-同舟云学术

COMPUTING POLYTROPIC AND ISOTHERMAL MODELS USING MONTE CARLO METHOD

Published:2024-04-01 Issue:1 Volume:60 Page:3-12
ISSN:0185-1101
Container-title:Revista Mexicana de Astronomía y Astrofísica
language:
Short-container-title:RMxAA

Author:

Nouh M .I.¹,Elkholy E. A.²,El-Essawy S. H.¹

Affiliation:

1. Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt.

2. Department of Physics, College of Science, Northern Border University, Arar, Saudi Arabia. & Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt.

Abstract

Polytropic and isothermal gas spheres are crucial in the theory of stellar structure and evolution, galaxy cluster modeling, thermodynamics, and various other physics, chemistry, and engineering disciplines. Based on two Monte Carlo algorithms (MC1 and MC2), we introduce a numerical approach for solving Lane-Emden (LE) equations of the polytropic and isothermal gas spheres. We found that the MC1 and MC2 models agree with each other and also with numerical and analytical models. We tested the compatibility between the MC and the numerical polytropic models by calculating the mass-radius relation and the pressure profile for the polytrope with n=3.

Publisher

Universidad Nacional Autonoma de Mexico

Link

http://www.astroscu.unam.mx/rmaa/RMxAA..60-1/PDF/RMxAA..60-1_mnouh-I.pdf

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