Solution of Disordered Microphases in the Bethe approximation
arXiv:2103.14450 · doi:10.1063/5.0052111
Abstract
The periodic microphases that self-assemble in systems with competing short-range attractive and long-range repulsive interactions are structurally both rich and elegant. Significant theoretical and computational efforts have thus been dedicated to untangling their properties. By contrast, disordered microphases, which are structurally just as rich but nowhere near as elegant, have not been as carefully considered. Part of the difficulty is that simple mean-field descriptions make a homogeneity assumption that washes away all of their structural features. Here, we study disordered microphases by exactly solving a SALR model on the Bethe lattice. By sidestepping the homogenization assumption, this treatment recapitulates many of the key structural regimes of disordered microphases, including particle and void cluster fluids as well as gelation. This analysis also provides physical insight into the relationship between various structural and thermal observables, between criticality and physical percolation, as well as between glassiness and microphase ordering.
15 pages, 5 figures
References in corpus (13)
- Phase diagram of patchy colloids: towards empty liquids
- Phase behavior of a fluid with competing attractive and repulsive interactions
- Colloidal systems with competing interactions: from an arrested repulsive cluster phase to a gel
- Two-dimensional fluid with competing interactions exhibiting microphase separation: theory for bulk and interfacial properties
- A model colloidal fluid with competing interactions: bulk and interfacial properties
- Phase diagram of the Ising square lattice with competing interactions
- Nonequilibrium Theory of Epigenomic Microphase Separation in the Cell Nucleus
- Lamellar order, microphase structures and glassy phase in a field theoretic model for charged colloids
- A Lattice Model for Colloidal Gels and Glasses
- Microphase Equilibrium and Assembly Dynamics
- Maximum Valency Lattice Gas Models
- Nonuniversal routes to universality: Critical phenomena in colloidal dispersions
- Characterization and Efficient Monte Carlo Sampling of Disordered Microphases