Tension and stiffness of the hard sphere crystal-fluid interface
arXiv:1203.2857 · doi:10.1103/PhysRevLett.108.226101
Abstract
A combination of fundamental measure density functional theory and Monte Carlo computer simulation is used to determine the orientation-resolved interfacial tension and stiffness for the equilibrium hard-sphere crystal-fluid interface. Microscopic density functional theory is in quantitative agreement with simulations and predicts a tension of 0.66 kT/σ^2 with a small anisotropy of about 0.025 kT and stiffnesses with e.g. 0.53 kT/σ^2 for the (001) orientation and 1.03 kT/σ^2 for the (111) orientation. Here kT is denoting the thermal energy and σthe hard sphere diameter. We compare our results with existing experimental findings.
References in corpus (8)
- Modeling Elasticity in Crystal Growth
- Direct calculation of the hard-sphere crystal/melt interfacial free energy
- Density functional theory for hard-sphere mixtures: the White-Bear version Mark II
- Monte Carlo simulations of the solid-liquid transition in hard spheres and colloid-polymer mixtures
- The equilibrium intrinsic crystal-liquid interface of colloids
- Colloidal crystal growth at externally imposed nucleation clusters
- Computer simulation studies of finite-size broadening of solid-liquid interfaces: From hard spheres to nickel
- Free energies, vacancy concentrations and density distribution anisotropies in hard--sphere crystals: A combined density functional and simulation study
Cited by in corpus (45)
- Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
- Crystallization kinetics of colloidal model suspensions: recent achievements and new perspectives
- Colloidal Hard Spheres: Triumphs, Challenges and Mysteries
- Crystallization seeds favour crystallization only during initial growth
- Power functional theory for many-body dynamics
- Crystal-liquid interfacial free energy via thermodynamic integration
- Logarithmic Finite-Size Effects on Interfacial Free Energies: Phenomenological Theory and Monte Carlo Studies
- Fundamental measure theory for the electric double layer: implications for blue-energy harvesting and water desalination
- Description of hard sphere crystals and crystal-fluid interfaces: a critical comparison between density functional approaches and a phase field crystal model
- Crystal-liquid interfacial free energy of hard spheres via a novel thermodynamic integration scheme
- Premelting-Induced Smoothening of the Ice-Vapor Interface
- Experimental studies of crystal nucleation: metals and colloids
- Solid phase properties and crystallization in simple model systems
- Machine-learning free-energy functionals using density profiles from simulations
- Phase diagram of two-dimensional hard rods from fundamental mixed measure density functional theory
- Classical density functional theory, unconstrained crystallization, and polymorphic behavior
- Crystal growth from a supersaturated melt: relaxation of the solid-liquid dynamic stiffness
- Determination of the origin and magnitude of logarithmic finite-size effects on interfacial tension: Role of interfacial fluctuations and domain breathing
- Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions
- Classical Nucleation Theory for the Crystallization Kinetics in Sheared Liquids
- Computer simulation study of surface wave dynamics at the crystal--melt interface
- Free Energy Barriers for Crystal Nucleation from Fluid Phases
- Fluctuation profiles in inhomogeneous fluids
- Flow of colloidal solids and fluids through constrictions: dynamical density functional theory versus simulation
- Dense ionic fluids confined in planar capacitors: in- and out-of-plane structure from classical density functional theory
- Triple junction at the triple point resolved on the individual particle level
- Liquid crystals of hard rectangles on flat and cylindrical manifolds
- The Primitive Model in Classical Density Functional Theory: Beyond the Standard Mean-Field Approximation
- Computation of the solid-liquid interfacial free energy in hard spheres by means of thermodynamic integration
- Deriving fundamental measure theory from the virial series: Consistency with the zero-dimensional limit
- Anisotropic pair correlations in binary and multicomponent hard-sphere mixtures in the vicinity of a hard wall: A combined density functional theory and simulation study
- Mode expansion for the density profile of crystal-fluid interfaces: Hard spheres as a test case
- To make a glass - avoid the crystal
- Structure and dynamics of interfaces between two coexisting liquid crystalline phases
- Step Free Energies at Faceted Solid-Liquid Interfaces from Equilibrium Molecular Dynamics Simulations
- Statistical mechanics of crystal nuclei of hard spheres
- A Unified Theory of Free Energy Functionals and Applications to Diffusion
- Phase diagrams and crystal-fluid surface tensions in additive and nonadditive two-dimensional hard disk mixtures
- Equilibrium Fluid-Crystal Interfacial Free Energy of Bcc-Crystallizing Aqueous Suspensions of Polydisperse Charged Spheres
- In-plane structure of the electric double layer in the primitive model using classical density functional theory
- Phase behaviour and correlations of parallel hard squares: From highly confined to bulk systems
- Hard rectangles near curved hard walls: tuning the sign of the Tolman length
- Interaction between two overall neutral charged microscopically patterned surfaces
- Anisotropy and memory during cage breaking events close to a wall
- Surface tension of bulky colloids, capillarity under gravity and the microscopic origin of the Kardar-Parisi-Zhang equation