Site trimer percolation on square lattices.
Percolation of site trimers (k-mers with k=3) is investigated in a detailed way making use of an analytical model based on renormalization techniques in this problem. Results are compared to those obtained here by means of extensive computer simulations. Five different deposition possibilities for site trimers are included according to shape and orientation of the depositing objects. Analytical results for the percolation threshold p(c) are all close to 0.55, while numerical results show a slight dispersion around this value. A comparison with p(c) values previously reported for monomers and dimers establishes the tendency of p(c) to decrease as k increases. Critical exponent ν was also obtained both by analytical and numerical methods. Results for the latter give values very close to the expected value 4/3 showing that this percolation case corresponds to the universality class of random percolation.
Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.
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Lebrecht
Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.
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Vogel
Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.
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Valdés
Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.
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Ramirez-Pastor
Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.
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Centres
Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.
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González
Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de los Andes 950, D5700HHW, San Luis, Argentina.
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Nieto