Equilibrium phase transitions in a porous medium

T. MacFarland, G. T. Barkema, J. F. Marko

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


Static critical phenomena of a three-dimensional Ising model confined in a porous medium made by spinodal decomposition have been studied using large-scale Monte Carlo simulations. We thus examine the influence of the geometry of Vycor-like materials on phase transitions. No surface interactions (preference of the Vycor-like material for one phase above the other) are taken into account. We find that the critical temperature depends on the average pore size D as (Formula presented)(D)=(Formula presented)(∞)-c/D. The critical exponents are independent of pore size: we find ν=0.8±0.1, γ=1.4±0.1, β=0.65±0.13. No divergence is observed for the specific heat, indicating α≤0. All data for all pore sizes can be collapsed well with the scaling function for the magnetic susceptibility χ(Formula presented)=χ̃((Formula presented)), where t=T/(Formula presented)(D)-1. These critical phenomena are consistent with those computed for the randomly site-diluted Ising model. Experimental realizations of our numerical experiments are discussed.

Original languageEnglish (US)
Pages (from-to)148-158
Number of pages11
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number1
StatePublished - 1996

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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