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20 April 2024
 
  » arxiv » cond-mat/9503102

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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 ;
Date 17 Mar 1995
Subject cond-mat
AbstractThe 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.
Source arXiv, cond-mat/9503102
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