Damage spreading in the fully frustrated square-lattice Ising model

Amadeu A. Júnior and Fernando D. Nobre

Physica A: Statistical Mechanics and its Applications, 1997, vol. 243, issue 1, 58-66

Abstract: The evolution of the Hamming distance (damage) for the fully frustrated Ising model on the square lattice is analyzed numerically within both Glauber and heat-bath dynamic frameworks. The chaotic regime, for which an infinitesimal initial perturbation propagates, is found at all temperatures in Glauber dynamics. Within the heat-bath scheme, three distinct regimes are observed according to the temperature range: (a) a low-temperature one, for which the damage propagates, presenting a dependence on the initial conditions; (b) an intermediate regime with damage propagation, but no dependence on the initial conditions; (c) a high-temperature region, at which the initial perturbation is always suppressed. Possible relations between the dynamic behavior and static properties of such system are discussed.

Keywords: Ising model; Frustration; Dynamical phase transitions; Damage spreading (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:243:y:1997:i:1:p:58-66

DOI: 10.1016/S0378-4371(97)00266-5

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