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A Model of Hysteresis in Narrow Pores

We introduce a new model of adsorption hysteresis that takes the formation of a meniscus explicitly into account by allowing the density to vary in the direction parallel to the walls. We apply the new geometry to a lattice gas model and solve the self-consistent equations for the density profile in the mean-field approximation. Adsorption is similar to that in single, infinitely long pores. Desorption is qualitatively different: a meniscus forms at the pore ends and subsequently recedes. Our results justify recent assumptions made about the nature of hysteresis.