منابع مشابه
Universality of Derrida Coarsening in the Triangular Potts Model
The temperature dependence of the dynamics of the fraction F (t) of persistent spins in the triangular Q-state Potts model is investigatedby large scale Monte Carlo simulations. After extending Derrida's approach of measuring the fraction of spins that remain in one phase to all Q low-temperaturephases, it is shown that the exponent of algebraic decay of F (t) is independent of temperature. In ...
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Weconsider the Pottsmodelwith q colors on a sequence ofweighted graphs with adjacency matrices An , allowing for both positive and negative weights. Under a mild regularity condition on An we show that the mean-field prediction for the log partition function is asymptotically correct, whenever tr(An) = o(n). In particular, our results are applicable for the Ising and the Potts models on any seq...
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The q = 10 and q = 200 state Potts models coupled to 2d gravity are investigated numerically and shown to have continuous phase transitions, contrary to their behavior on a regular lattice. Critical exponents are extracted and possible critical behavior for general q-state Potts models coupled to gravity is discussed.
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At the critical point in two dimensions, the number of percolation clusters of enclosed area greater than A is proportional to A−1, with a proportionality constant C that is universal. We show theoretically (based upon Coulomb gas methods), and verify numerically to high precision, that C = 1/8 √ 3π = 0.022972037 . . .. We also derive, and verify to varying precision, the corresponding constant...
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A new classification of sandpile models into universality classes is presented. On the basis of extensive numerical simulations, in which we measure an extended set of exponents, the Manna two state model [S. S. Manna, J. Phys. A 24, L363 (1991)] is found to belong to a universality class of random neighbor models which is distinct from the universality class of the original model of Bak, Tang ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2019
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.99.022135