Dynamic and static properties of the invaded cluster algorithm

Details Dynamic and static properties of the invaded cluster algorithm Dynamic and static properties of the invaded cluster algorithm

1998-11-10

arxiv.org/abs/cond-mat/9811138v1

Phys. Rev. E59 (1999) 1425-1434

Physics

Condensed Matter

Statistical Mechanics

21 pages with 12 figures

Scientific paper

10.1103/PhysRevE.59.1425

Simulations of the two-dimensional Ising and 3-state Potts models at their critical points are performed using the invaded cluster (IC) algorithm. It is argued that observables measured on a sub-lattice of size l should exhibit a crossover to Swendsen-Wang (SW) behavior for l sufficiently less than the lattice size L, and a scaling form is proposed to describe the crossover phenomenon. It is found that the energy autocorrelation time tau(l,L) for an l*l sub-lattice attains a maximum in the crossover region, and a dynamic exponent z for the IC algorithm is defined according to tau_max ~ L^z. Simulation results for the 3-state model yield z=.346(.002) which is smaller than values of the dynamic exponent found for the SW and Wolff algorithms and also less than the Li-Sokal bound. The results are less conclusive for the Ising model, but it appears that z<.21 and possibly that tau_max ~ log L so that z=0 -- similar to previous results for the SW and Wolff algorithms.

Affiliated with

Also associated with

No associations

Rating

Dynamic and static properties of the invaded cluster algorithm does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamic and static properties of the invaded cluster algorithm, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamic and static properties of the invaded cluster algorithm will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11281