Phase diagram of SALR fluids on spherical surfaces
arXiv:2111.11726 · doi:10.1039/D1SM01257F
Abstract
We investigate the phase diagram of a fluid of hard-core disks confined to the surface of a sphere and whose interaction potential contains a short-range attraction followed by a long-range repulsive tail (SALR). Based on previous works in the bulk we derive a stability criterion for the homogeneous phase of the fluid, and locate a region of instability linked to the presence of a negative minimum in the spherical harmonics expansion of the interaction potential. The inhomogeneous phases contained within this region are characterized using a mean-field density functional theory. We find several inhomogeneous patterns that can be separated into three broad classes: cluster crystals, stripes, and bubble crystals, each containing topological defects. Interestingly, while the periodicity of inhomogeneous phases at large densities is mainly determined by the position of the negative minimum of the potential expansion, the finite size of the system induces a richer behavior at smaller densities.
References in corpus (17)
- Dynamic Density Functional Theory of Fluids
- Dynamical density functional theory and its application to spinodal decomposition
- Exact Criterion for Determining Clustering vs. Reentrant Melting Behavior for Bounded Interaction Potentials
- Soft Spheres Make More Mesophases
- Two-dimensional fluid with competing interactions exhibiting microphase separation: theory for bulk and interfacial properties
- Origin of similarity of phase diagrams in amphiphilic and colloidal systems with competing interactions
- Lipid membrane-mediated attractions between curvature inducing objects
- A model colloidal fluid with competing interactions: bulk and interfacial properties
- Equilibrium Phase Behavior of a Continuous-Space Microphase Former
- Density functional theory for soft matter with mesoscopic length scale fluctuations included within field-theoretic formalism
- Zero temperature phase diagram of the square-shoulder system
- Lane-formation vs. cluster-formation in two dimensional square-shoulder systems: A genetic algorithm approach
- First-order patterning transitions on a sphere as a route to cell morphology
- Self-Assembly of Spiral Patterns in Confined System with Competing Interactions
- A rationale for mesoscopic domain formation in biomembranes
- Combined density functional and Brazovskii theories for systems with spontaneous inhomogeneities
- Spherical Cap Packing Asymptotics and Rank-Extreme Detection