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- W4282938539 abstract "We study the explosive percolation with $k$-mer random sequential adsorption (RSA) process. We consider both the Achlioptas process (AP) and the inverse Achlioptas process (IAP), in which giant cluster formation is prohibited and accelerated, respectively. By employing finite-size scaling analysis, we confirm that the percolation transitions are continuous, and thus we calculate the percolation threshold and critical exponents. This allows us to determine the universality class of the $k$-mer explosive percolation transition. Interestingly, the numerical simulation suggests that the universality class of the explosive percolation transition with the AP alters when the $k$-mer size changes. In contrast, the universality class of the transition with the IAP is independent of $k$, but it differs from that of the RSA without the IAP." @default.
- W4282938539 created "2022-06-16" @default.
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- W4282938539 date "2022-06-15" @default.
- W4282938539 modified "2023-10-17" @default.
- W4282938539 title "Random adsorption process of linear <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>k</mml:mi></mml:math> -mers on square lattices under the Achlioptas process" @default.
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- W4282938539 doi "https://doi.org/10.1103/physreve.105.064116" @default.
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