Abstract
The direct simulation Monte Carlo method is modified with a post-collision displacements in order to obtain the hard sphere equation of state. This leads to consistent thermodynamic and transport properties in the low density regime. At higher densities, when the enhanced collision rate according to kinetic theory is introduced, the exact hard sphere equation of state is recovered, and the transport coefficients are comparable to those of the Enskog theory. The computational advantages of this scheme over hard sphere molecular dynamics are that it is significantly faster at low and moderate densities and that it is readily parallelizable.
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© 1995 Springer-Verlag
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Alexander, F.J., Garcia, A.L., Alder, B.J. (1995). Simulation of the consistent Boltzmann equation for hard spheres and its extension to higher densities. In: Brey, J.J., Marro, J., Rubí, J.M., San Miguel, M. (eds) 25 Years of Non-Equilibrium Statistical Mechanics. Lecture Notes in Physics, vol 445. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59158-3_36
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DOI: https://doi.org/10.1007/3-540-59158-3_36
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