Equation of state and jamming density for equivalent bi- and polydisperse, smooth, hard sphere systems.

V. Ogarko, Stefan Luding

Research output: Contribution to journalArticleAcademicpeer-review

31 Citations (Scopus)

Abstract

We study bi- and polydisperse mixtures of hard sphere fluids with extreme size ratios up to 100. Simulation results are compared with previously found analytical equations of state by looking at the compressibility factor, Z, and agreement is found with much better than 1% deviation in the fluid regime. A slightly improved empirical correction to Z is proposed. When the density is further increased, excluded volume becomes important, but there is still a close relationship between many-component mixtures and their binary, two-component equivalents (which are defined on basis of the first three moments of the size distribution). Furthermore, we determine the size ratios for which the liquid-solid transition exhibits crystalline, amorphous or mixed system structure. Near the jamming density, Z is independent of the size distribution and follows a −1 power law as function of the difference from the jamming density (Z → ∞). In this limit, Z depends only on one free parameter, the jamming density itself, as reported for several different size distributions with a wide range of widths.
Original languageEnglish
Article number124508
Pages (from-to)1-12
Number of pages12
JournalJournal of chemical physics
Volume136
Issue number12
DOIs
Publication statusPublished - 28 Mar 2012

Keywords

  • IR-80403
  • METIS-284479

Fingerprint Dive into the research topics of 'Equation of state and jamming density for equivalent bi- and polydisperse, smooth, hard sphere systems.'. Together they form a unique fingerprint.

  • Cite this