Monte Carlo study of very weakly first-order transitions in the three-dimensional Ashkin-Teller model |
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| Institution: | 1. Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata - 700064, India;2. Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai - 400085, India;3. Indian Institute of Technology Gandhinagar, Gandhinagar - 382355, Gujarat, India;1. Department of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Republic of Korea;2. Institut Jean Lamour, Groupe de Physique Statistique, Département de Physique de la Matière et des Matériaux, CNRS-UMR 7198, Vandoeuvre-lès-Nancy, F-54506, France;1. Mechanical Engineering Departement, Shahrekord University, Shahrekord, Iran;2. Faculty of Engineering, Shahrekord University, Shahrekord, Iran;1. The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark;2. Radboud University Nijmegen, Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands;3. Institute of Physics, Jagiellonian University, Reymonta 4, PL 30-059 Krakow, Poland |
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| Abstract: | We propose numerical simulations of the Ashkin-Teller model as a foil for theoretical techniques for studying very weakly first-order phase transitions in three dimensions. The Ashkin-Teller model is a simple two-spin model whose parameters can be adjusted so that it has an arbitrarily weakly first-order phase transition. In this limit, there are quantities characterizing the first-order transition which are universal: we measure the relative discontinuity of the specific heat, the correlation length, and the susceptibility across the transition by Monte Carlo simulation. |
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