2007/04/30 by A. Aromsawa, J. Poulter
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.76.064427
published as Phys. Rev. B 76, 064427 (2007) · 4 pages, 2 figures, submitted to PRB
arxiv created 2007/06/07 · openalex publication_date 2007/08/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We report calculations of the domain wall entropy for the bimodal two-dimensional Ising spin glass in the critical ground state. The L\ifmmode×\else\texttimes\fiL system sizes are large with L up to 256. We find that it is possible to fit the variance of the domain wall entropy to a power function of L. The data were obtained using an algorithm that works exactly in the ground state. The integrity of the floating point arithmetic was rigorously checked against exact results for correlation functions and some disorder realizations were run in arbitrary precision as necessary. Nevertheless, in spite of the excellent integrity of the results, the quality of the data distributions are unsatisfactory with large L>96. Consequently, it is not possible to reliably determine the fractal dimension of the domain walls.