Please use this identifier to cite or link to this item:
|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|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Sep 19, 2018
WEB OF SCIENCETM
checked on Sep 4, 2018
checked on Sep 21, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.