Effect of disorder on condensation in the lattice gas model on a random graph

Thomas P. Handford*, Alexander Dear, Francisco J. Perez-Reche, Sergei N. Taraskin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The lattice gas model of condensation in a heterogeneous pore system, represented by a random graph of cells, is studied using an exact analytical solution. A binary mixture of pore cells with different coordination numbers is shown to exhibit two phase transitions as a function of chemical potential in a certain temperature range. Heterogeneity in interaction strengths is demonstrated to reduce the critical temperature and, for large-enough degreeS of disorder, divides the cells into ones which are either on average occupied or unoccupied. Despite treating the pore space loops in a simplified manner, the random-graph model provides a good description of condensation in porous structures containing loops. This is illustrated by considering capillary condensation in a structural model of mesoporous silica SBA-15.

Original languageEnglish
Article number012144
Number of pages19
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number1
Publication statusPublished - 31 Jul 2014


  • capillary condensation
  • mesoporous silica
  • phase-transitions
  • porous materials
  • ising-model
  • Bethe lattice
  • spin-glasses
  • systems
  • fluids
  • MCM-41


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