2006/02/02 by M. A. Moore, M A Moore · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Boundary (topology) #Combinatorics #Condensed matter physics #Contact angle #Dimension (graph theory) #Energy (signal processing) #Geometry #Interface (matter) #Liquid Crystal Research Advancements #Material Dynamics and Properties #Mathematical analysis #Mathematics #Phase (matter) #Phase boundary #Physics #Quantum mechanics #Replica #Spin glass #Symmetry (geometry) #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevlett.96.137202
4 pages
arxiv created 2006/02/02 · openalex publication_date 2006/04/03 · arxiv updated 2009/12/01 · openalex created_date 2020/05/13 · openalex updated_date 2026/08/05
The replica method is used to calculate the interface free energy associated with the change from periodic to antiperiodic boundary conditions in finite-dimensional p-spin glass models in the phase which at mean-field level has one-step replica symmetry breaking (1RSB). In any finite dimension the interface free energy is exponentially small for a large system. This result implies that, in finite dimensions, the 1RSB state does not exist, as it is destroyed by thermal excitation of arbitrarily large droplets. The implications of this for the theory of structural glasses are discussed.