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|Title:||Dynamic critical exponents for Swendsen-Wang and Wolff algorithms obtained by a nonequilibrium relaxation method|
|Keywords:||Classical Monte Carlo simulations|
Critical exponents and amplitudes (theory)
|Citation:||Du, J., Zheng, B., Wang, J.-S. (2006-05-01). Dynamic critical exponents for Swendsen-Wang and Wolff algorithms obtained by a nonequilibrium relaxation method. Journal of Statistical Mechanics: Theory and Experiment (5) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1742-5468/2006/05/P05004|
|Abstract:||Using a nonequilibrium relaxation method, we calculate the dynamic critical exponent z of the two-dimensional Ising model for the Swendsen-Wang and Wolff algorithms. We examine dynamic relaxation processes following a quench from a disordered or an ordered initial state to the critical temperature T c, and measure the exponential relaxation time of the system energy. For the Swendsen-Wang algorithm with an ordered or a disordered initial state, and for the Wolff algorithm with an ordered initial state, the exponential relaxation time fits well to a logarithmic size dependence up to a lattice size L ≤ 8192. For the Wolff algorithm with a disordered initial state, we obtain an effective dynamic exponent zexp ≤ 1.19(2) up to L ≤ 2048. For comparison, we also compute the effective dynamic exponents through the integrated correlation times. In addition, an exact result of the Swendsen-Wang dynamic spectrum of a one-dimensional Ising chain is derived. © 2006 IOP Publishing Ltd and SISSA.|
|Source Title:||Journal of Statistical Mechanics: Theory and Experiment|
|Appears in Collections:||Staff Publications|
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