CROSSOVER PROPERTIES FROM RANDOM PERCOLATION TO FRUSTRATED PERCOLATION

Luigi Cannavacciuolo, Antonio de Candia () and Antonio Coniglio
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Luigi Cannavacciuolo: Università di Napoli "Federico II" Dipartimento di Science Fisiche, Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy;
Antonio de Candia: Università di Napoli "Federico II" Dipartimento di Science Fisiche, Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy;
Antonio Coniglio: Università di Napoli "Federico II" Dipartimento di Science Fisiche, Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy;

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 04, 555-562

Abstract: We investigate the crossover properties of the frustrated percolation model on a two-dimensional square lattice, with asymmetric distribution of ferromagnetic and antiferromagnetic interactions. We determine the critical exponentsν,γ, andβof the percolation transition of the model, for various values of the density of antiferromagnetic interactionsπin the range0≤π≤0.5. Our data is consistent with the existence of a crossover from random percolation behavior forπ=0, to frustrated percolation behavior, characterized by the critical exponents of the ferromagnetic1/2-state Potts model, as soon asπ>0.

Keywords: Critical properties; Cluster approach; Spin glasses (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000425

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