Crossover and self-averaging in the two-dimensional site-diluted Ising model

Details Crossover and self-averaging in the two-dimensional site-diluted Ising model Crossover and self-averaging in the two-dimensional site-diluted Ising model

2001-06-08

arxiv.org/abs/cond-mat/0106154v1

Phys. Rev. E64, 036114 (2001)

Physics

Condensed Matter

Statistical Mechanics

6 pages including 6 eps figures, RevTeX, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.64.036114

Using the newly proposed probability-changing cluster (PCC) Monte Carlo algorithm, we simulate the two-dimensional (2D) site-diluted Ising model. Since we can tune the critical point of each random sample automatically with the PCC algorithm, we succeed in studying the sample-dependent $T_c(L)$ and the sample average of physical quantities at each $T_c(L)$ systematically. Using the finite-size scaling (FSS) analysis for $T_c(L)$, we discuss the importance of corrections to FSS both in the strong-dilution and weak-dilution regions. The critical phenomena of the 2D site-diluted Ising model are shown to be controlled by the pure fixed point. The crossover from the percolation fixed point to the pure Ising fixed point with the system size is explicitly demonstrated by the study of the Binder parameter. We also study the distribution of critical temperature $T_c(L)$. Its variance shows the power-law $L$ dependence, $L^{-n}$, and the estimate of the exponent $n$ is consistent with the prediction of Aharony and Harris [Phys. Rev. Lett. {\bf 77}, 3700 (1996)]. Calculating the relative variance of critical magnetization at the sample-dependent $T_c(L)$, we show that the 2D site-diluted Ising model exhibits weak self-averaging.

Affiliated with

Also associated with

No associations

Rating

Crossover and self-averaging in the two-dimensional site-diluted Ising model 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 Crossover and self-averaging in the two-dimensional site-diluted Ising model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crossover and self-averaging in the two-dimensional site-diluted Ising model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-419154