title: Effect of disorder on condensation in the lattice gas model on a random graph.
abstract: 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.
authors.affiliation: Department of Chemistry, University of Cambridge, Cambridge, United Kingdom.
authors.forename: Thomas P
authors.initials: TP
authors.lastname: Handford
authors.affiliation: Department of Chemistry, University of Cambridge, Cambridge, United Kingdom.
authors.forename: Alexander
authors.initials: A
authors.lastname: Dear
authors.affiliation: Institute for Complex Systems and Mathematical Biology, SUPA, King's College, University of Aberdeen, Aberdeen, United Kingdom.
authors.forename: Francisco J
authors.initials: FJ
authors.lastname: Pérez-Reche
authors.affiliation: St. Catharine's College and Department of Chemistry, University of Cambridge, Cambridge, United Kingdom.
authors.forename: Sergei N
authors.initials: SN
authors.lastname: Taraskin
mesh_terms: D003196:Computer Graphics; D005740:Gases / Q000737:chemistry*; D008958:Models, Molecular; D044367:Phase Transition; D016062:Porosity
chemical_list: D005740:Gases