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- W2898800964 abstract "The $alpha$-XY model generalizes, through the introduction of a power-law decaying potential, a well studied mean-field hamiltonian model with attractive long-range interactions. In the $alpha$-model, the interaction between classical rotators on a lattice is gauged by the exponent $alpha$ in the couplings decaying as $r^alpha$, where $r$ are distances between sites. We review and comment here a few recent results on the static and dynamic properties of the $alpha$-model. We discuss the appropriate $alpha$ dependent rescalings that map the canonical thermodynamics of the $alpha$-model into that of the mean field model. We also show that the chaotic properties of the model, studied as a function of $alpha$ display an universal behaviour." @default.
- W2898800964 created "2018-11-09" @default.
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- W2898800964 date "2000-07-26" @default.
- W2898800964 modified "2023-09-27" @default.
- W2898800964 title "Looking at universalities in the static and dynamic properties of the $alpha$-XY model" @default.
- W2898800964 hasPublicationYear "2000" @default.
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