The self-consistent model of the anomalously slow relaxation of the systems nonwetting liquid–nanoporous medium

Abstract

This paper provides information on a self-consistent model of an anomalously slow relaxation of nonwetting liquid–nanoporous medium systems with a random size distribution of pores, which introduces changes in interaction between local liquid cluster configurations in the process of liquid outflow from the porous medium. A self-consistent equation was deduced, the solution of which determines a functional connection of porous medium filling degree or time [Formula: see text]. It is shown that the anomalously slow relaxation is presented as a process of decay of interacting local metastable configurations, initialized by thermal fluctuations. As time increments, relaxation acceleration takes place with subsequent avalanche fluid outflow from the porous medium, which is connected with interaction decrease between local configurations. The dependence of the fraction of volume of liquid remaining in a porous medium changes by the power law [Formula: see text]. It is shown that for a system of water–L23 at the initial stage in the time range of [Formula: see text], an index assumes a constant value [Formula: see text], while at the following stage the acceleration of relaxation and the increase of parameter [Formula: see text] are observed.