Microcanonical ensemble simulation method applied to discrete potential fluids

Francisco Sastre, Ana Laura Benavides, José Torres-Arenas, and Alejandro Gil-Villegas
Phys. Rev. E 92, 033303 – Published 3 September 2015

Abstract

In this work we extend the applicability of the microcanonical ensemble simulation method, originally proposed to study the Ising model [A. Hüller and M. Pleimling, Int. J. Mod. Phys. C 13, 947 (2002)], to the case of simple fluids. An algorithm is developed by measuring the transition rates probabilities between macroscopic states, that has as advantage with respect to conventional Monte Carlo NVT (MC-NVT) simulations that a continuous range of temperatures are covered in a single run. For a given density, this new algorithm provides the inverse temperature, that can be parametrized as a function of the internal energy, and the isochoric heat capacity is then evaluated through a numerical derivative. As an illustrative example we consider a fluid composed of particles interacting via a square-well (SW) pair potential of variable range. Equilibrium internal energies and isochoric heat capacities are obtained with very high accuracy compared with data obtained from MC-NVT simulations. These results are important in the context of the application of the Hüller-Pleimling method to discrete-potential systems, that are based on a generalization of the SW and square-shoulder fluids properties.

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  • Received 29 May 2015

DOI:https://doi.org/10.1103/PhysRevE.92.033303

©2015 American Physical Society

Authors & Affiliations

Francisco Sastre1,*, Ana Laura Benavides1,2,†, José Torres-Arenas1,‡, and Alejandro Gil-Villegas1,§

  • 1Departamento de Ingeniería Física, División de Ciencias e Ingenierías, Campus León de la Universidad de Guanajuato, AP E-143, CP 37150, León, Mexico
  • 2Departamento de Química Física, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040, Madrid, Spain

  • *sastre@fisica.ugto.mx
  • alb@fisica.ugto.mx
  • jtorres@fisica.ugto.mx
  • §gil@fisica.ugto.mx

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Vol. 92, Iss. 3 — September 2015

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