Numerical simulation study of the dynamical behavior of the Niedermayer algorithm

Details Numerical simulation study of the dynamical behavior of the Niedermayer algorithm Numerical simulation study of the dynamical behavior of the Niedermayer algorithm

2010-03-18

arxiv.org/abs/1003.3655v1

Physics

Computational Physics

Accepted for publication in Journal of Statistical Mechanics: Theory and Experiment

Scientific paper

We calculate the dynamic critical exponent for the Niedermayer algorithm applied to the two-dimensional Ising and XY models, for various values of the free parameter $E_0$. For $E_0=-1$ we regain the Metropolis algorithm and for $E_0=1$ we regain the Wolff algorithm. For $-1\widetilde{L}$, the Niedermayer algorithm is equivalent to the Metropolis one, i.e, they have the same dynamic exponent. For $E_0>1$, the autocorrelation time is always greater than for $E_0=1$ (Wolff) and, more important, it also grows faster than a power of $L$. Therefore, we show that the best choice of cluster algorithm is the Wolff one, when compared to the Nierdermayer generalization. We also obtain the dynamic behavior of the Wolff algorithm: although not conclusive, we propose a scaling law for the dependence of the autocorrelation time on $L$.

Affiliated with

Also associated with

No associations

Rating

Numerical simulation study of the dynamical behavior of the Niedermayer 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 Numerical simulation study of the dynamical behavior of the Niedermayer algorithm, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical simulation study of the dynamical behavior of the Niedermayer algorithm will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-700852