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- W2033718454 abstract "Renormalization group arguments based on a ?3 field theory lead us to expect a certain universal behavior for the density of partition function zeros in spin models with short-range interaction. Such universality has been tested analytically and numerically in different d = 1 and higher dimensional spin models. In d = 1, one finds usually the critical exponent ? = ?1/2. Recently, we have shown in the d = 1 Blume?Emery?Griffiths (BEG) model on a periodic static lattice (one ring) that a new critical behavior with ? = ?2/3 can arise if we have a triple degeneracy of the transfer matrix eigenvalues. Here we define the d = 1 BEG model on a dynamic lattice consisting of connected and non-connected rings (non-periodic lattice) and check numerically that also in this case we have mostly ? = ?1/2 while the new value ? = ?2/3 can arise under the same conditions of the static lattice (triple degeneracy) which is a strong check of universality of the new value of ?. We also show that although such conditions are necessary, they are not sufficient to guarantee the new critical behavior." @default.
- W2033718454 created "2016-06-24" @default.
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- W2033718454 date "2008-11-03" @default.
- W2033718454 modified "2023-10-16" @default.
- W2033718454 title "The Yang–Lee edge singularity in spin models on connected and non-connected rings" @default.
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- W2033718454 doi "https://doi.org/10.1088/1751-8113/41/50/505002" @default.
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