2014/01/27 by Saroj Kumar Nandi, Giulio Biroli, Jean‐Philippe Bouchaud +3
Agricultural and Biological Sciences · Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Coupling (piping) #Dimension (graph theory) #Geometry #Ising model #Material Dynamics and Properties #Materials science #Mathematical physics #Mathematics #Order (exchange) #Physics #Plant and animal studies #Scaling #Spin glass #Statistical physics #Supercooling #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.113.245701
published as Phys. Rev. Lett. 113, 245701 (2014) · 5 pages
arxiv created 2014/01/27 · openalex publication_date 2014/12/09 · arxiv updated 2014/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze, using inhomogeneous mode-coupling theory, the critical scaling behavior of the dynamical susceptibility at a distance ε from continuous second-order glass transitions. We find that the dynamical correlation length ξ behaves generically as ε(-1/3) and that the upper critical dimension is equal to six. More surprisingly, we find that ξ grows with time as ln²t exactly at criticality. All of these results suggest a deep analogy between the glassy behavior of attractive colloids or randomly pinned supercooled liquids and that of the random field Ising model.