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Rotators with Long-Range Interactions: Connection with the Mean-Field Approximation
We analyze the equilibrium properties of a chain of ferromagnetically coupled rotators which interact through a force that decays as $r^{-\alpha}$ where r is the interparticle distance and $\alpha\ge 0$. Our model contains as particular cases the mean field limit ($\alpha=0$) and the first-neighbor model ($\alpha \to \infty$). By integrating …