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Crossover Properties From Random Percolation To Frustrated Percolation

Author

Listed:
  • LUIGI CANNAVACCIUOLO

    (Università di Napoli "Federico II" Dipartimento di Science Fisiche, Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy;
    INFM, Sezione di Napoli, Italy)

  • ANTONIO DE CANDIA

    (Università di Napoli "Federico II" Dipartimento di Science Fisiche, Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy;
    INFM, Sezione di Napoli, Italy)

  • ANTONIO CONIGLIO

    (Università di Napoli "Federico II" Dipartimento di Science Fisiche, Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy;
    INFM, Sezione di Napoli, Italy)

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.

Suggested Citation

  • Luigi Cannavacciuolo & Antonio De Candia & Antonio Coniglio, 1999. "Crossover Properties From Random Percolation To Frustrated Percolation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 555-562.
    • Handle: RePEc:wsi:ijmpcx:v:10:y:1999:i:04:n:s0129183199000425
    DOI: 10.1142/S0129183199000425
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