2009/08/27 by A. Gordillo-Guerrero, Ralph Kenna, R. Kenna +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Computer science #Condensed matter physics #Geometry #Ising model #Logarithm #Mathematical analysis #Mathematics #Multidimensional scaling #Opinion Dynamics and Social Influence #Phase transition #Physics #Scaling #Set (abstract data type) #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1103/physreve.80.031135
published as Phys. Rev. E 80, 031135 (2009) · 15 pages, 5 ps figures. Accepted for publication in Phys. Rev. E
arxiv created 2009/08/27 · openalex publication_date 2009/09/23 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the literature, there are five distinct fragmented sets of analytic predictions for the scaling behavior at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections are used to complete the scaling pictures for each set. A numerical approach is then used to confirm the leading scaling picture coming from these predictions and to discriminate between them at the level of logarithmic corrections.