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Percolation in strongly correlated systems

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  • Lebowitz, Joel L.
  • Saleur, H.

Abstract

We investigate the threshold percolation density, pc, in strongly correlated lattice systems. The probability distribution of the system is the stationary state for a combined Kawasaki and Glauber dynamics; the voter model with flips. When the Glauber rate goes to zero, the pair correlation function of the system, at any density, decays in three dimensions as r-1 (and does not decay at all in two dimensions). Using Monte Carlo calculations and finite size scaling we obtain information about pc as a function of the Glauber rate. Percolation in Gaussian fields on a lattice which have similar slow decay is also discussed.

Suggested Citation

  • Lebowitz, Joel L. & Saleur, H., 1986. "Percolation in strongly correlated systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(1), pages 194-205.
    • Handle: RePEc:eee:phsmap:v:138:y:1986:i:1:p:194-205
    DOI: 10.1016/0378-4371(86)90180-9
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    Cited by:

    1. Eminente, Clara & Artime, Oriol & De Domenico, Manlio, 2022. "Interplay between exogenous triggers and endogenous behavioral changes in contagion processes on social networks," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    2. Abächerli, Angelo, 2019. "Local picture and level-set percolation of the Gaussian free field on a large discrete torus," Stochastic Processes and their Applications, Elsevier, vol. 129(9), pages 3527-3546.
    3. Adri'an Carro & Ra'ul Toral & Maxi San Miguel, 2016. "The noisy voter model on complex networks," Papers 1602.06935, arXiv.org, revised Apr 2016.
    4. de Oliveira, M.J., 1994. "Coupling constants for stochastic spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(1), pages 13-23.

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