2010/09/30 by Ruben S. Andrist, Derek Larson, Helmut G. Katzgraber
Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Complex Systems and Time Series Analysis #Composite material #Condensed matter physics #Dimension (graph theory) #Glass transition #Material Dynamics and Properties #Materials science #Mathematics #Phase transition #Physics #Polymer #Potts model #Range (aeronautics) #Spin glass #Statistical physics #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physreve.83.030106
published as Phys. Rev. E 83, 030106(R) (2011) · 4 pages, 1 table, 2 figures
arxiv created 2011/03/29 · openalex publication_date 2011/03/29 · arxiv updated 2012/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Potts glasses are prototype models that have been used to understand the structural glass transition. However, in finite space dimensions a glass transition remains to be detected in the 10-state Potts glass. Using a one-dimensional model with long-range power-law interactions we present evidence that a glass transition below the upper critical dimension can exist for short-range systems at low enough temperatures. Gaining insights into the structural glass transition for short-range systems using spin models is thus potentially possible, yet difficult.