Phase transitions in a model porous medium

Michael R. Swift, E. Cheng, Milton Walter Cole, Jayanth R. Banavar

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

An exact solution is presented for Ising-like transitions in a decorated lattice model of a porous medium. The model is solved by decimation of the spins, leading to a space-filling lattice with renormalized parameters. The critical temperature is found to vary as 1/lnL, where L is the number of sites between intersections of the spin chains. Some of the critical exponents differ from those of the ordinary Ising problem. We have also studied the case of a single, infinitely long pore, using both exact and approximate methods. An exploration of finite-width effects reveals surprisingly small (quantitative) deviations from mean-field theory.

Original languageEnglish (US)
Pages (from-to)3124-3129
Number of pages6
JournalPhysical Review B
Volume48
Issue number5
DOIs
StatePublished - Jan 1 1993

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Porous materials
Phase transitions
Mean field theory
intersections
critical temperature
exponents
porosity
deviation
Temperature

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

Swift, M. R., Cheng, E., Cole, M. W., & Banavar, J. R. (1993). Phase transitions in a model porous medium. Physical Review B, 48(5), 3124-3129. https://doi.org/10.1103/PhysRevB.48.3124
Swift, Michael R. ; Cheng, E. ; Cole, Milton Walter ; Banavar, Jayanth R. / Phase transitions in a model porous medium. In: Physical Review B. 1993 ; Vol. 48, No. 5. pp. 3124-3129.
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Swift, MR, Cheng, E, Cole, MW & Banavar, JR 1993, 'Phase transitions in a model porous medium', Physical Review B, vol. 48, no. 5, pp. 3124-3129. https://doi.org/10.1103/PhysRevB.48.3124

Phase transitions in a model porous medium. / Swift, Michael R.; Cheng, E.; Cole, Milton Walter; Banavar, Jayanth R.

In: Physical Review B, Vol. 48, No. 5, 01.01.1993, p. 3124-3129.

Research output: Contribution to journalArticle

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Swift MR, Cheng E, Cole MW, Banavar JR. Phase transitions in a model porous medium. Physical Review B. 1993 Jan 1;48(5):3124-3129. https://doi.org/10.1103/PhysRevB.48.3124