THEORETICAL INVESTIGATIONS OF PROPERTIES OF HYDROGEN AND HELIUM MIXTURE BASED ON PERTURBATION THEORY

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Abstract
In this paper, we have investigated thermodynamic parameters of hydrogen and helium fluid mixture with assistance of statistical perturbation theory. The results have been compared with existing theoretical and Monte Carlo simulation methods based. Moreover, the effects of density, temperature and helium concentration on equation of state (EOS) of this mixture have been considered. Likewise, since exp-6 potential has given better results in comparison with MC simulations in higher temperatures than double Yukawa potential and avoiding any vague speculation, comparison between effects of these potentials has been presented. The results further suggest that EOS in this place depends sensitively on the density, the potential function and concentration of each component.
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publications

This work is driven by the results in my previous paper on LLMs.

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Dariush Azimi
Authors
Physicist & Computational Specialist

Darius Azimi is a highly analytical Physicist with a robust foundation in Theoretical, subatomic, and Plasma Physics. With a career spanning multiple M.Sc. degrees from top Swedish and Iranian institution, I specialize in bridging the gap between complex theoretical frameworks and practical computational applications. My expertise lies in developing high-fidelity simulations—using PIC, Monte Carlo, and Molecular Dynamics—to investigate the linear and non-linear properties of dynamic physical systems. ​I am a published author in journals such as the International Journal of Modern Physics B, where I have contributed to the understanding of statistical physics, binary hard sphere mixtures, and quantum perturbation theory. By combining rigorous mathematical modeling with advanced software development in C++, Fortran, and Python, I deliver high-quality analytical solutions for complex equations using iterative solvers like GMRES and BICGSTAB. Whether driving academic research or consulting on technical subatomic systems, I am dedicated to pushing the boundaries of applied physics through algorithmic innovation and data-driven insights. Outside of my research, I have enjoyed contributing to the Swedish educational system as a substitute teacher, which has further refined my ability to communicate complex ideas in Swedish.