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• W3180005366 abstract "Cluster growth models are utilized for a wide range of scientific and engineering applications, including modeling epidemics and the dynamics of liquid propagation in porous media. Invasion percolation is a stochastic branching process in which a network of sites is getting occupied that leads to the formation of clusters (group of interconnected, occupied sites). The occupation of sites is governed by their resistance distribution; the invasion annexes the sites with the least resistance. An iterative cluster growth model is considered for computing the expected size and perimeter of the growing cluster. A necessary ingredient of the model is the description of the mean perimeter as the function of the cluster size. We propose such a relationship for the site square lattice. The proposed model exhibits (by design) the expected phase transition of percolation models, i.e., it diverges at the percolation threshold <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </math> . We describe an application for the porosimetry percolation model. The calculations of the cluster growth model compare well with simulation results." @default.
• W3180005366 created "2021-07-19" @default.
• W3180005366 creator A5038963127 @default.
• W3180005366 creator A5057820348 @default.
• W3180005366 date "2021-07-08" @default.
• W3180005366 modified "2023-09-25" @default.
• W3180005366 title "A Size-Perimeter Discrete Growth Model for Percolation Clusters" @default.
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• W3180005366 doi "https://doi.org/10.1155/2021/9919333" @default.
• W3180005366 hasPublicationYear "2021" @default.
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