Equilibrium Phase Behavior of a Continuous-Space Microphase Former

Abstract

Periodic microphases universally emerge in systems for which short-range inter-particle attraction is frustrated by long-range repulsion. The morphological richness of these phases makes them desirable material targets, but our relatively coarse understanding of even simple models limits our grasp of their assembly. We report here the solution of the equilibrium phase behavior of a microscopic microphase former through specialized Monte Carlo simulations. The results for the ordered regime qualitatively agree with a Landau-type free energy description and highlight the nontrivial dynamical interplay between micelle, gel and microphase formation.

13 pages, 8 figures

References in corpus (27)

• Theoretical perspective on the glass transition and amorphous materials
• Equilibrium cluster phases and low-density arrested disordered states: The role of short-range attraction and long-range repulsion
• Dynamical Arrest in Attractive Colloids: The Effect of Long-Range Repulsion
• Stripe glasses: self generated randomness in a uniformly frustrated system
• Phase behavior of a fluid with competing attractive and repulsive interactions
• Avoiding unphysical kinetic traps in Monte Carlo simulations of strongly attractive particles
• On the surface of glasses
• Colloidal systems with competing interactions: from an arrested repulsive cluster phase to a gel
• Routes to gelation in a clay suspension
• Origin of similarity of phase diagrams in amphiphilic and colloidal systems with competing interactions
• Structural and dynamical features of multiple metastable glassy states in a colloidal system with competing interactions
• Columnar and lamellar phases in attractive colloidal systems
• Density functional theory for soft matter with mesoscopic length scale fluctuations included within field-theoretic formalism
• Phase coexistence of cluster crystals: beyond the Gibbs phase rule
• Critical behavior at m-axial Lifshitz points: field-theory analysis and $\epsilon$-expansion results
• Reentrant and Isostructural Transitions in a Cluster-Crystal Former
• Phase behavior and far-from-equilibrium gelation of charged attractive colloids
• Pattern formation and glassy phase in the ${\varphi }^4$ theory with screened electrostatic repulsion
• Origin and Detection of Microstructural Clustering in Fluids with Spatial-Range Competitive Interactions
• The role of weak charging in metastable colloidal clusters
• Random Isotropic Structures and Possible Glass Transitions in Diblock Copolymer Melts
• Lamellar order, microphase structures and glassy phase in a field theoretic model for charged colloids
• The nature of slow dynamics in a minimal model of frustration-limited domains
• Theory of Microemulsion Glasses
• A Monte Carlo Approach for Studying Microphases Applied to the Axial Next-Nearest-Neighbor Ising and the Ising-Coulomb Models
• [N]pT Monte Carlo Simulations of the Cluster-Crystal-Forming Penetrable Sphere Model
• Accurate simulation estimates of phase behaviour in ternary mixtures with prescribed composition

Cited by in corpus (28)

• Recent Advances in the Theory and Simulation of Model Colloidal Microphase Formers
• Equilibrium phase behavior of the square-well linear microphase-forming model
• Phase diagram and aggregation dynamics of a monolayer of paramagnetic colloids
• Effect of aggregation on adsorption phenomena
• Microphase Equilibrium and Assembly Dynamics
• Generating dense packings of hard spheres by soft interaction design
• Two-dimensional pattern formation in ionic liquids confined between graphene walls
• Self-Assembly of Spiral Patterns in Confined System with Competing Interactions
• Nonequilibrium phase transitions of sheared colloidal microphases: Results from dynamical density functional theory
• Mesoscale phase separation of skyrmion-vortex matter in chiral magnet-superconductor heterostructures
• Clustering and assembly dynamics of a one-dimensional microphase former
• Combined density functional and Brazovskii theories for systems with spontaneous inhomogeneities
• Microphase separation in oil-water mixtures containing hydrophilic and hydrophobic ions
• Complex-tensor theory of simple smectics
• Phase diagram of SALR fluids on spherical surfaces
• Adsorption anomalies in a 2D model of cluster-forming systems
• Orientational ordering of lamellar structures on closed surfaces
• Non-Equilibrium View of the Amorphous Solidification of Liquids with Competing Interactions
• Shear induced ordering in systems with competing interactions: A machine learning study
• Effects of fluctuations on correlation functions in inhomogeneous mixtures
• Solution of Disordered Microphases in the Bethe approximation
• Characterization and Efficient Monte Carlo Sampling of Disordered Microphases
• Resolving the two-dimensional ANNNI model using transfer matrices
• Mesoscopic theory for systems with competing interactions near a confining wall
• Self-assembly of Colloids with Competing Interactions Confined in Spheres
• Adsorption time scales of cluster-forming systems
• Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte
• Numerical transfer matrix study of frustrated next-nearest-neighbor Ising models on square lattices