Thomas P. Handford, Francisco J. Perez-Reche, Sergei N. Taraskin
The effects of heterogeneity on capillary condensation in one-dimensional finite pores of different geometry are analysed using a mapping of a prototype lattice-gas model to the zero-temperature random field Ising model (zt-RFIM). The analytical solution obtained for the model is shown to reproduce and explain the key experimental observations for finite sized pores: (i) a heterogeneity-induced reduction of the effect of the pore-end morphology on adsorption-desorption curves; (ii) an H2-type hysteresis as a result of asymmetric correlated distributions of disorder; (iii) stepwise sorption isotherms caused by ink-bottle and funnel pore geometries.
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http://arxiv.org/abs/1212.3414
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