Correlation length-exponent relation for the two-dimensional random Ising model

Details Correlation length-exponent relation for the two-dimensional random Ising model Correlation length-exponent relation for the two-dimensional random Ising model

1999-08-26

arxiv.org/abs/cond-mat/9908376v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages RevTex, 5 eps figures included

Scientific paper

10.1103/PhysRevE.61.147

We consider the two-dimensional (2d) random Ising model on a diagonal strip of the square lattice, where the bonds take two values, $J_1>J_2$, with equal probability. Using an iterative method, based on a successive application of the star-triangle transformation, we have determined at the bulk critical temperature the correlation length along the strip, $\xi_L$, for different widths of the strip, $L \le 21$. The ratio of the two lengths, $\xi_L/L=A$, is found to approach the universal value, $A=2/\pi$ for large $L$, independent of the dilution parameter, $J_1/J_2$. With our method we have demonstrated with high numerical precision, that the surface correlation function of the 2d dilute Ising model is self-averaging, in the critical point conformally coovariant and the corresponding decay exponent is $\eta_{\parallel}=1$.

Affiliated with

Also associated with

No associations

Rating

Correlation length-exponent relation for the two-dimensional random 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 Correlation length-exponent relation for the two-dimensional random Ising model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Correlation length-exponent relation for the two-dimensional random Ising model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476549