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It has been shown that changes in the energy of a system of nonwetting-liquidclusters confined in a random nanoporous medium in the process of relaxationcan be written in the quasiparticle approximation in the form of the sum of theenergies of local (metastable) configurations of liquid clusters interactingwith clusters in the connected nearest pores. The energy spectrum and densityof states of the local configuration have been calculated. It has been shownthat the relaxation of the state of the system occurs through the scenario ofself-organized criticality (SOC). The process is characterized by theexpectation of a fluctuation necessary for overcoming a local energy barrier ofthe metastable state with the subsequent rapid hydrodynamic extrusion of theliquid under the action of the surface buoyancy forces of the nonwettingframework. In this case, the dependence of the interaction between localconfigurations on the number of filled pores belonging to the infinitepercolation cluster of filled pores serves as an internal feedback initiatingthe SOC process. The calculations give a power-law time dependence of therelative volume of the confined liquid. The developed model of the relaxationof the porous medium with the nonwetting liquid demonstrates possiblemechanisms and scenarios of SOC for disordered atomic systems.

Energy Spectrum of Local Multiparticle Configurations and Mechanism of  Anomalously Slow Relaxation of the System of Strongly Interacting Liquid  Clusters in a Disordered Nanoporous Medium According to the Self-Organized  Criticality Scenario