منابع مشابه
Cluster Analysis for Percolation on Two Dimensional Fully Frustrated System
The percolation of Kandel, Ben-Av and Domany clusters for 2d fully frustrated Ising model is extensively studied through numerical simulations. Critical exponents, cluster distribution and fractal dimension of percolative cluster are given.
متن کاملPercolation and lack of self-averaging in a frustrated evolutionary model
We present a stochastic evolutionary model obtained through a perturbation of Kauffman’s maximally rugged model, which is recovered as a special case. Our main results are: (i) existence of a percolation-like phase transition in the finite phase space case; (ii) existence of non self-averaging effects in the thermodynamic limit. Lack of self-averaging emerges from a fragmentation of the space o...
متن کاملPotts fully frustrated model: thermodynamics, percolation, and dynamics in two dimensions
We consider a Potts model diluted by fully frustrated Ising spins. The model corresponds to a fully frustrated Potts model with variables having an integer absolute value and a sign. This model presents precursor phenomena of a glass transition in the high-temperature region. We show that the onset of these phenomena can be related to a thermodynamic transition. Furthermore, this transition can...
متن کاملPercolation transition and the onset of nonexponential relaxation in fully frustrated models
We numerically study the dynamical properties of fully frustrated models in two and three dimensions. The results obtained support the hypothesis that the percolation transition of the Kasteleyn-Fortuin clusters corresponds to the onset of stretched exponential autocorrelation functions in systems without disorder. This dynamical behavior may be due to the ‘‘large scale’’ effects of frustration...
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Simultaneous capillary dominated displacement of the wetting and non-wetting phases are processes of interest in many disciplines including modeling of the penetration of polluting liquids in hydrology or the secondary migration in petroleum reservoir engineering. Percolation models and in particular invasion percolation is well suited to characterize the slow immiscible displaceme...
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ژورنال
عنوان ژورنال: Nature
سال: 1997
ISSN: 0028-0836,1476-4687
DOI: 10.1038/38113