FINITE SIZE SCALING FOR FIRST ORDER TRANSITIONS: POTTS MODEL

P. M. C. de Oliveira; S. M. Moss de Oliveira; C. E. Cordeiro; D. Stauffer

doi:10.1007/bf02179879

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FINITE SIZE SCALING FOR FIRST ORDER TRANSITIONS: POTTS MODEL

P. M. C. de Oliveira·S. M. Moss de Oliveira·C. E. Cordeiro·D. Stauffer

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Abstract

The finite-size scaling algorithm based on bulk and surface renormalization of de Oliveira (1992) is tested on q-state Potts models in dimensions D = 2 and 3. Our Monte Carlo data clearly distinguish between first- and second-order phase transitions. Continuous-q analytic calculations performed for small lattices show a clear tendency of the magnetic exponent Y = D - beta/nu to reach a plateau for increasing values of q, which is consistent with the first-order transition value Y = D. Monte Carlo data confirm this trend.

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P. M. C. de Oliveira, S. M. Moss de Oliveira, C. E. Cordeiro, D. Stauffer. 1995-03-17. FINITE SIZE SCALING FOR FIRST ORDER TRANSITIONS: POTTS MODEL. https://doi.org/10.1007/bf02179879

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