New hypotheses of no coalescence and no entrapment were proposed for the mercury intrusion and extrusion. Pore structures were represented by a two dimensional lattice for bond percolation and the Rayleigh distribution function was taken for the pore size distribution. Different modes of hypothesis were found with new hypotheses and the effect of accessible probability on the hysteresis loop was analyzed. Mercury entrapment was also predicted by considering the pressure difference between the applied and assigned pressures through Washburn's equation as a parameter for mercury breakage. Dimensionless extruded volume has been plotted against dimensionless intruded volume based on the total intruded volume. It was noted that the curves in this plot were insensitive somewhat to the variation of pore size distributions but were affected mainly by the accessible probability. A bimodal size distribution with micropores and macropores was analyzed by considering the extent of overlapping and the sequence of connection between both distributions. The applicability of the proposed hypotheses was demonstrated by showing that experimental data on α-alumina sample could well be correlated.
Free radical linear polymerization with instantaneous initiation was simulated on the cubic lattices such as simple, body centered and face centered cubic lattices. The monomer conversion, polydispersity index and average degree of polymerization were predicted by using the site percolation model which was based on computer-simulated self-avoiding walks on the lattice. The adjusting parameters as reactivity, termination modes, coordination number of the given lattice were introduced in order to explain the spatial effect which was ascribed to the competitive growths of active polymers.