Applying a cellular automaton model to describing the anomalous relaxation of the metastable states in the disordered porous media

International Workshop on Physical and Chemical Processes in Atomic Systems

Borman, V.D.^1 ; Mikheev, A.N.^1 ; Tronin, V.N.^1

National Research Nuclear University MEPhI, Moscow Engineering Physics Institute, Kashirskoe highway 31, Moscow

115409, Russia^1

关键词: Cellular automaton models;    Disordered porous medias;    Energy distributions;    Meta-stable state;    Nano-porous media;    Nonwetting liquid;    Power-law dependences;    Self-organized criticality;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/751/1/012032/pdf
DOI  :  10.1088/1742-6596/751/1/012032

来源: IOP

【 摘 要 】

We propose a numerical model of outflow of the nonwetting liquid from previously completely filled nanoporous media based on cellular automata theory. It was shown that the relaxation of this system has an avalanche-like behaviour, which is inherent to phenomenon of self-organized criticality (SOC). Avalanche size and energy distributions were obtained. It was found that spectra have a typical for SOC theory power-law dependence N(s) ∼ s-βwith β = 2.73, and N(E) ∼ E-βenwith βen= 2.25.