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Long-range interacting classical systems: universality in mixing weakening
Alessandro Campa, Andrea Giansanti, Daniele Moroni +1
Through molecular dynamics, we study the classical model of coupled rotators (inertial XY model) assuming a coupling constant which decays with distance as $r_{ij}^{-α}…
Universal behavior in the static and dynamic properties of the -XY model
Andrea Giansanti, Daniele Moroni, Alessandro Campa
The -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 th…
Canonical solution of a system of long-range interacting rotators on a lattice
Alessandro Campa, Andrea Giansanti, Daniele Moroni
The canonical partition function of a system of rotators (classical X-Y spins) on a lattice, coupled by terms decaying as the inverse of their distance to the power alpha, is analy…