2013/01/31 by Mauro Sellitto
Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Complex Systems and Time Series Analysis #Condensed matter physics #Critical exponent #Cusp (singularity) #Degenerate energy levels #Directed percolation #Geometry #Gravitational singularity #Lattice (music) #Material Dynamics and Properties #Mathematics #Parameterized complexity #Percolation (cognitive psychology) #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Spin glass #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.4809741
published as J. Chem. Phys. 138, 224507 (2013)
arxiv created 2013/06/12 · openalex publication_date 2013/06/12 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It has been recently established that heterogeneous bootstrap percolation and related dynamic facilitation models exhibit a complex hierarchy of continuous and discontinuous transitions depending on lattice connectivity and kinetic constraints. Here the range of the previously observed phase diagram topologies and higher-order singularities is extended to disconnected glass-glass transitions and to cusp and swallowtail bifurcations (which can be generic and degenerate). The phase diagram and the order parameter for two different types of spin mixtures are analytically determined and an experimental realization of the new predictions emerging in our approach is suggested.