Sticky-sphere clusters

Abstract

Nano- and microscale particles, such as colloids, commonly interact over ranges much shorter than their diameters, so it is natural to treat them as "sticky," interacting only when they touch exactly. The lowest-energy states, free energies, and dynamics of a collection of $n$ particles can be calculated in the sticky limit of a deep, narrow interaction potential. This article surveys the theory of the sticky limit, explains the correspondence between theory and experiments on colloidal clusters, and outlines areas where the sticky limit may bring new insight.

References in corpus (25)

• Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms
• Topological Boundary Modes in Isostatic Lattices
• Random Packings of Frictionless Particles
• Topological modes bound to dislocations in mechanical metamaterials
• Geometric origin of excess low-frequency vibrational modes in amorphous solids
• Nonlinear conduction via solitons in a topological mechanical insulator
• Hydrodynamic Coupling of Two Brownian Spheres to a Planar Surface
• Self-Organization and the Physics of Glassy Networks
• Anharmonicity and quasi-localization of the excess low-frequency vibrations in jammed solids
• Algorithmic Lattice Kirigami: A Route to Pluripotent Materials
• Structural relaxation in Morse clusters: Energy landscapes
• Shocks near Jamming
• Tetrahedral colloidal clusters from random parking of bidisperse spheres
• Turning Statistical Physics Models Into Materials Design Engines
• A geometrical approach to computing free energy landscapes from short-ranged potentials
• Experimental study of energy-minimizing point configurations on spheres
• Two-Dimensional Clusters of Colloidal Spheres: Ground States, Excited States, and Structural Rearrangements
• Deriving Finite Sphere Packings
• Enumerating rigid sphere packings
• Structure of finite sphere packings via exact enumeration: Implications for colloidal crystal nucleation
• Geometric frustration in small colloidal clusters
• Testing the Foundations of Classical Entropy: Colloid Experiments
• Phonon Dispersion and Elastic Moduli of Two-Dimensional Disordered Colloidal Packings of Soft Particles with Frictional Interactions
• Structure and dynamics of model colloidal clusters with short-range attractions
• Contact numbers for congruent sphere packings in Euclidean 3-space

Cited by in corpus (16)

• Sticky Brownian Motion and its Numerical Solution
• From Sticky-Hard-Sphere to Lennard-Jones-Type Clusters
• Large Deviations For Sticky Brownian Motions
• Physical interpretation of the partition function for colloidal clusters
• Simple analysis of scattering data with Ornstein-Zernike equation
• Close encounters of the sticky kind: Brownian motion at absorbing boundaries
• Modeling aggregation processes of Lennard-Jones particles via stochastic networks
• Accessing Semi-Addressable Self Assembly with Efficient Structure Enumeration
• Coupling between long ranged repulsions and short ranged attractions in a colloidal model of zero shear rate viscosity
• The Gregory-Newton Problem for Kissing Sticky Spheres
• The polyhedral structure underlying programmable self-assembly
• Orthogonal Intertwiners for Infinite Particle Systems in The Continuum
• Calculating the symmetry number of flexible sphere clusters
• Geometric and Topological Entropies of Sphere Packing
• Epsilon local rigidity and numerical algebraic geometry
• Thermal Fluctuations of Singular Bar-Joint Mechanisms