Clustering and assembly dynamics of a one-dimensional microphase former

Abstract

Both ordered and disordered microphases ubiquitously form in suspensions of particles that interact through competing short-range attraction and long-range repulsion (SALR). While ordered microphases are more appealing materials targets, understanding the rich structural and dynamical properties of their disordered counterparts is essential to controlling their mesoscale assembly. Here, we study the disordered regime of a one-dimensional (1D) SALR model, whose simplicity enables detailed analysis by transfer matrices and Monte Carlo simulations. We first characterize the signature of the clustering process on macroscopic observables, and then assess the equilibration dynamics of various simulation algorithms. We notably find that cluster moves markedly accelerate the mixing time, but that event chains are of limited help in the clustering regime. These insights will guide further study of three-dimensional microphase formers.

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• Large-scale dynamics of event-chain Monte Carlo
• Resolving the two-dimensional ANNNI model using transfer matrices
• Characterization and Efficient Monte Carlo Sampling of Disordered Microphases
• Solution of Disordered Microphases in the Bethe approximation
• Mesoscopic theory for systems with competing interactions near a confining wall
• Adsorption time scales of cluster-forming systems
• Discontinuous Structural Transitions in Fluids with Competing Interactions
• Numerical transfer matrix study of frustrated next-nearest-neighbor Ising models on square lattices