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Journal Articles Journal of Applied Physics Year : 2004

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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Dates and versions

hal-00009616 , version 1 (06-10-2005)

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Cite

Sylvain Reynal, Hung-The Diep. Q-state Potts model with power-law decaying interactions: along the tricritical line. Journal of Applied Physics, 2004, 95, pp.6968. ⟨10.1063/1.1676071⟩. ⟨hal-00009616⟩
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