Open AccessMONTE CARLO SIMULATIONS OF THE ISING MODEL ON THREE-DIMENSIONAL RANDOM LATTICE USING THE CLUSTER ALGORITHM
Author(s) -
Ji Da-Ren,
Jianbo Zhang
Publication year - 1993
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.42.1741
Subject(s) - ising model , monte carlo method , statistical physics , lattice (music) , critical exponent , critical point (mathematics) , exponent , hybrid monte carlo , physics , algorithm , computer science , mathematics , phase transition , condensed matter physics , markov chain monte carlo , statistics , mathematical analysis , linguistics , philosophy , acoustics
In order to reduce the critical slowing down in Monte Carlo simulations, a numerical study for the Ising model on 3-D random lattice using Swendsen-Wang algorithm is performed. The critical point obtained is βc=0. 075±0. 001. Moreover, to analyse the dynamical property of Swendsen-Wang method, the dynamical critical exponent z is estimated. The result is z =0. 74 ±0. 03. This indicates that the Swendsen-Wang method can greatly reduce the critical slowing down for the Ising model on 3-D random lattice.