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• W2079046959 abstract "A relation between a class of stationary points of the energy landscape of continuous spin models on a lattice and the configurations of an Ising model defined on the same lattice suggests an approximate expression for the microcanonical density of states. Based on this approximation we conjecture that if a $O(n)$ model with ferromagnetic interactions on a lattice has a phase transition, its critical energy density is equal to that of the $n=1$ case, i.e., an Ising system with the same interactions. The conjecture holds true in the case of long-range interactions. For nearest-neighbor interactions, numerical results are consistent with the conjecture for $n=2$ and $n=3$ in three dimensions. For $n=2$ in two dimensions ($XY$ model) the conjecture yields a prediction for the critical energy of the Bereifmmode check{z}else v{z}fi{}inskij-Kosterlitz-Thouless transition, which would be equal to that of the two-dimensional Ising model. We discuss available numerical data in this respect." @default.
• W2079046959 created "2016-06-24" @default.
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• W2079046959 date "2011-02-03" @default.
• W2079046959 modified "2023-09-23" @default.
• W2079046959 title "Microcanonical Relation between Continuous and Discrete Spin Models" @default.
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• W2079046959 doi "https://doi.org/10.1103/physrevlett.106.057208" @default.
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