Q-state Potts model with power-law decaying interactions: Along the tricritical line | Zendy

Sylvain Reynal | Zendy; H. T. Diep | Zendy

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

Author(s) -

Sylvain Reynal,

H. T. Diep

Publication year - 2004

Publication title -

journal of applied physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.699

H-Index - 319

eISSN - 1089-7550

pISSN - 0021-8979

DOI - 10.1063/1.1676071

Subject(s) - spinodal , phase diagram , potts model , statistical physics , scaling , critical line , power law , physics , critical exponent , phase transition , critical phenomena , inverse , mean field theory , square (algebra) , phase (matter) , mathematics , condensed matter physics , quantum mechanics , ising model , statistics , geometry

4 pages, 4 figures.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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