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- W4319336195 abstract "Abstract We study a non-monotonic behavior of the Binder parameter, which appears in discrete spin systems. We show that the Binder parameters of the Potts model are non-monotonic for q = 3 and 4, while they are monotonic for the Ising case (q = 2). Using the Fortuin–Kasteleyn graph representation, we find that the improved estimator of the Binder parameter consists of two terms with values only in the high- and low-temperature regions. The non-monotonic behavior is found to originate from the low-temperature term. With the appropriately defined order parameter, we can reduce the influence of the low-temperature term and, as a result, the non-monotonic behavior can also be reduced. We propose new definitions for the order parameter, which reduces or eliminates the non-monotonic behavior of the Binder parameter in a system for which the improved estimator of the Binder parameter is unknown." @default.
- W4319336195 created "2023-02-08" @default.
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- W4319336195 date "2023-02-07" @default.
- W4319336195 modified "2023-10-18" @default.
- W4319336195 title "Non-monotonic behavior of the Binder parameter in discrete spin systems" @default.
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- W4319336195 doi "https://doi.org/10.1093/ptep/ptad022" @default.
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