منابع مشابه
Numerical study of phase transitions in Potts models.
A model is defined that interpolates between integer dimension and integer q-state Potts models. Phase transitions in these models are studied, and in particular the critical value qc where the phase transition changes from second into first order is determined for several dimensions. For (d, qc) the values (2.0;4.05), (2.5;2.68), (3.0;2.21), (3.5;2.15) and (4.0;2.07) are obtained. ∗e-mail: bar...
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We describe an approach to the study of phase transitions in Potts models based on an estimate of the complexity of the locus of real zeros of the partition function, computed in terms of the classes in the Grothendieck ring of the affine algebraic varieties defined by the vanishing of the multivariate Tutte polynomial. We give completely explicit calculations for the examples of the chains of ...
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We have studied the Potts spin glass with two-state Ising spins and s-state Potts variables using a cluster Monte Carlo dynamics. The model recovers the 6J Ising spin glass ~SG! for s51 and exhibits for all s a SG transition at TSG(s) and a percolation transition at higher temperature Tp(s). We have shown that for all values of sÞ1 at Tp(s) there is a thermodynamic transition in the universalit...
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In the interdisciplinary research project SonEnvir, we used sound to perceptualise data stemming from spin models. The advantages herein lie in the possibility of displaying more dimensions than in visual representation on one hand, and in the potential of the human auditory system on the other. Spin models provide an interesting test case for sonification in physics, as they model complex syst...
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The random-cluster model is a dependent percolation model that has applications in the study of Ising and Potts models. In this paper, several new results for the random-cluster model with cluster parameter q ≥ 1 are obtained. These include an explicit pointwise dynamical construction of random-cluster measures for arbitrary graphs, and for unimodular transitive graphs, lack of percolation for ...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2015
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-015-1393-8