Monte Carlo simulation for a gas of hard spheres in d-dimensional space: Equilibrium structure and state equations

Authors

  • J.M. Borjas-Mayorga Universidad Autónoma de Nuevo León Facultad de Ciencias Físico Matemática.
  • M.E. Grimaldo-Reyna
  • F.J. Almaguer-Martínez
  • and O. González-Amezcua
  • and J. R. Cantú-González Escuela de Sistemas PMRV, Unidad Acuña, Universidad Autónoma de Coahuila Coahuila, México.

DOI:

https://doi.org/10.31349/RevMexFisE.65.206

Keywords:

Monte Carlo simulations, Phase Equilibria, Fluids, Thermodynamics.

Abstract

In this work, we emphasize that it is possible using a personal computer to perform a Monte
Carlo simulations in a reasonable computing time, and find the equilibrium structure of a hardsphere gas for a Euclidean multi-dimensional spaces. We study the properties of equilibrium and determine the equation of state of gas of hard spheres in Euclidean spaces from two to seven dimensions. The results show that the pressure is in agreement with different theoretical models based on virial expansion in spaces from two to five dimensions, also our results are extended for seven dimensions. As expected, it was found that the system of hard spheres loses its structure and the pressure of the system decreases when the dimension of the space increases.

Author Biography

J.M. Borjas-Mayorga, Universidad Autónoma de Nuevo León Facultad de Ciencias Físico Matemática.

Posgrado en Ingenieria Física

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Published

2019-07-01

How to Cite

[1]
J. Borjas-Mayorga, M. Grimaldo-Reyna, F. Almaguer-Martínez, and O. González-Amezcua, and and J. R. Cantú-González, “Monte Carlo simulation for a gas of hard spheres in d-dimensional space: Equilibrium structure and state equations”, Rev. Mex. Fis. E, vol. 65, no. 2 Jul-Dec, pp. 206–212, Jul. 2019.

Issue

Vol. 65 No. 2 Jul-Dec (2019): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2019 Omar Gonzalez Amezcua

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.