2007/03/31 by Ronald Fisch
Computer Science · Physics and Astronomy · #Cellular Automata and Applications #Complex Network Analysis Techniques #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1007/s10955-007-9436-4
published as J. Stat. Phys. 130, 561 (2008) · 13 pages, 7 figures; final version, to appear in J. Stat. Phys
arxiv created 2007/10/01 · openalex publication_date 2007/10/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
The ground state entropy of the 2D Ising spin glass with +1 and -1 bonds is studied for L × M square lattices with L ≤ M and p = 0.5, where p is the fraction of negative bonds, using periodic and/or antiperiodic boundary conditions. From this we obtain the domain wall entropy as a function of L and M. It is found that for domain walls which run in the short, L direction, there are finite-size scaling functions which depend on the ratio M / LdS, where dS = 1.22 ± 0.01. When M is larger than L, very different scaling forms are found for odd L and even L. For the zero-energy domain walls, which occur when L is even, the probability distribution of domain wall entropy becomes highly singular, and apparently multifractal, as M / LdS becomes large.