Probability-changing cluster algorithm for Potts models |
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Authors: | Tomita Y Okabe Y |
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Institution: | Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan. ytomita@phys.metro-u.ac.jp |
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Abstract: | We propose a new effective cluster algorithm of tuning the critical point automatically, which is an extended version of the Swendsen-Wang algorithm. We change the probability of connecting spins of the same type, p = 1-e(-J/k(B)T), in the process of the Monte Carlo spin update. Since we approach the canonical ensemble asymptotically, we can use the finite-size scaling analysis for physical quantities near the critical point. Simulating the two-dimensional Potts models to demonstrate the validity of the algorithm, we have obtained the critical temperatures and critical exponents which are consistent with the exact values; the comparison has been made with the invaded cluster algorithm. |
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