2016/10/20 by Andrea Braides, Marco Cicalese · 1 citation
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Artificial intelligence #Block Copolymer Self-Assembly #Combinatorics #Complex system #Computer science #Condensed matter physics #Frustration #Lattice (music) #Mathematics #Parameterized complexity #Phase transition #Physics #Statistical physics #Theoretical and Computational Physics #Theoretical physics #cond-mat.stat-mech
paper · pdf · doi:10.1007/s00205-016-1050-7
published as Archive for Rational Mechanics and Analysis 223 (2017) 977-1017
openalex publication_date 2016/10/20 · arxiv created 2021/06/05 · arxiv updated 2021/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a class of n-dimensional (possibly inhomogeneous) spin-like lattice systems presenting modulated phases with possibly different textures. Such systems can be parameterized according to the number of ground states, and can be described by a phase-transition energy which we compute by means of variational techniques. Degeneracies due to frustration are also discussed.