Q-state Potts model with power-law decaying interactions: along the tricritical line

Abstract : By relying on a recently proposed multicanonical algorithm adapted to long-ranged models, we shed new light on the critical behavior of the long-ranged q-state Potts model. We refine the controversial phase diagram by an order of magnitude, over a large range of $q$ values, by applying finite-size scaling arguments to spinodal curves. We further offer convincing evidence that the phase transition on the line of inverse-square interactions is not of the first-order, by virtue of a very unusual, previously unnoticed finite-size effect. Finally, we obtain estimates of critical couplings near the mean-field region which clearly reinforce Tsallis conjecture.
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Submitted on : Thursday, October 6, 2005 - 6:47:42 PM
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Sylvain Reynal, Hung-The Diep. Q-state Potts model with power-law decaying interactions: along the tricritical line. Journal of Applied Physics, American Institute of Physics, 2004, 95, pp.6968. ⟨10.1063/1.1676071⟩. ⟨hal-00009616⟩

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