Large energy cumulants in the 2D Potts model and their effects in finite size analysis |
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| Institution: | 1. MS B285, Group T-8, Los Alamos National Laboratory, Los Alamos, NM 87544, USA;2. CEA, Service de Physique Théorique, CE-Saclay, F-91191 Gif-sur-Yvette Cedex, France;1. Department of Physics and Astronomy, The University of Sheffield, Sheffield, S3 7RH, United Kingdom;2. Department of Physics, University of Bath, Bath, BA2 7AY, United Kingdom;3. ITMO University, Kronverksky Avenue 49, Saint Petersburg, 197101, Russian Federation;1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701, Republic of Korea;2. Faculty of physics, Shahrood University of Technology, Shahrood, Iran |
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| Abstract: | We develop an ansatz for expressing the free energy of the two-dimensional q-states Potts model for q > 4 near its first order phase transition point. We notice that for the moderate values of q < 15, the energy profile at the phase transition is not expressible as a sum of gaussians. We discuss how this affects the traditional finite size analysis of this phase transition. In particular, the dominant length scale governing the finite size corrections turns out to be much (∼ 6 times) larger than the largest correlation length in the problem. |
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