The equation of state of hard hyperspheres in nine dimensions for low to moderate densities

The Journal of Chemical Physics
Marvin BishopPaula A Whitlock

Abstract

The equation of state of hard hyperspheres in nine dimensions is calculated both from the values of the first ten virial coefficients and from a Monte Carlo simulation of the pair correlation function at contact. The results are in excellent agreement. In addition, we find that the virial series appears to be dominated by an unphysical singularity or singularities on or near the negative density axis, in qualitative agreement with the recently solved Percus-Yevick equation of state in nine dimensions.

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Oct 12, 2004·The Journal of Chemical Physics·Marvin BishopA Yu Vlasov
Mar 4, 2005·The Journal of Chemical Physics·Marvin BishopDino Klein
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stanislav LabíkAnatol Malijevský
Jun 11, 2005·The Journal of Chemical Physics·Marvin BishopA Yu Vlasov
Jul 23, 2005·The Journal of Chemical Physics·Marvin A Bishop, Paula A Whitlock
Dec 13, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Monica SkogeSalvatore Torquato
Jun 22, 2007·The Journal of Chemical Physics·Paula A WhitlockJohn L Tiglias

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Citations

Aug 10, 2013·The Journal of Chemical Physics·Ryan Jadrich, Kenneth S Schweizer
Jul 16, 2008·The Journal of Chemical Physics·René D RohrmannAndrés Santos
Mar 3, 2011·The Journal of Chemical Physics·Miguel Angel G MaestreMariano López de Haro
Mar 18, 2010·The Journal of Chemical Physics·L LuePaula A Whitlock
Feb 2, 2011·The Journal of Chemical Physics·C D Estrada, M Robles
Jun 11, 2009·The Journal of Chemical Physics·Andrés Santos, Mariano López de Haro
Nov 24, 2011·Physical Review Letters·Patrick CharbonneauFrancesco Zamponi
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·René D Rohrmann, Andrés Santos
Dec 9, 2020·Entropy·Mariano López de HaroSantos B Yuste

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