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Dynamic critical exponents of Swendsen-Wang and Wolff algorithms by nonequilibrium relaxation | | Jianqing Du
; Bo Zheng
; Jian-Sheng Wang
; | | Date: |
2 Mar 2006 | | Subject: | Statistical Mechanics | | Abstract: | With 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 z_exp=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-dimension Ising chain is derived. | | Source: | arXiv, cond-mat/0603038 | | Services: | Forum | Review | PDF | Favorites | |
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