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- W4385336091 abstract "In this paper we define a variant of the Ising model in which spins are replaced with permutations. The energy between two spins is a function of the relative disorder of one spin, a permutation, to the other. This model is motivated by a complexity measure for declarative systems. For such systems a state is a permutation and the permutation sorting complexity measures the average sequential disorder of neighbouring states. To measure the relative disorder between two spins we use a symmetrized version of the descent permutation statistic that has appeared in the works of Chatterjee & Diaconis and Petersen. The classical Ising model corresponds to the length-2 permutation case of this new model. We consider and prove some elementary properties for the 1D case of this model in which spins are length-3 permutations." @default.
- W4385336091 created "2023-07-29" @default.
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- W4385336091 date "2023-09-01" @default.
- W4385336091 modified "2023-09-29" @default.
- W4385336091 title "An Ising model having permutation spin motivated by a permutation complexity measure" @default.
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- W4385336091 doi "https://doi.org/10.1016/j.physa.2023.129090" @default.
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