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Convergence dynamics of 2-dimensional isotropic and anisotropic Bak-Sneppen models

Bakar, Burhan; Tirnakli, Ugur


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        "affiliation": "Ege Univ, Dept Phys, Fac Sci, TR-35100 Izmir, Turkey", 
        "name": "Bakar, Burhan"
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        "affiliation": "Ege Univ, Dept Phys, Fac Sci, TR-35100 Izmir, Turkey", 
        "name": "Tirnakli, Ugur"
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    "description": "The conventional Hamming distance measurement captures only short-time dynamics of the displacement between uncorrelated random configurations. The minimum difference technique introduced by Tirnakli and Lyra [U. Tirnakli, M.L Lyra. Int. J. Mod. Phys. C 14 (2003) 8051 is used to study short-time and long-time dynamics of the two distinct random configurations of isotropic and anisotropic Bak-Sneppen models on a square lattice. Similar to a 1-dimensional case, the time evolution of the displacement is intermittent. The scaling behavior of the jump activity rate and waiting time distribution reveal the absence of typical spatial-temporal scales in the mechanism of displacement jumps used to quantify convergence dynamics. (C) 2008 Elsevier B.V. All rights reserved.", 
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