From the structure of layer stacking of Lunijianlaite and its host and theory of nonequilibrium thermodynamics, a nonlinear dynamical model named "Shenkuoator" has been presented under the condition of nonequilibrium. The numerical results have been successfully used to explain the self-organized ordering phenomenon at two levels in the apparent single-crystal. Hence, the latter has been confirmed as crystallization product of the supersaturated silicate solution, whose chemical composition is between that of cookeite and pyrophyllite, under the conditions of nonequilibrium and nonlinearity.