Ginzburg-Landau theory of the liquid-solid interface and nucleation for hard-spheres

Abstract

The Ginzburg-Landau free energy functional for hard-spheres is constructed using the Fundamental Measure Theory approach to Density Functional Theory as a starting point. The functional is used to study the liquid-fcc solid planer interface and the properties of small solid clusters nucleating within a liquid. The surface tension for planer interfaces agrees well with simulation and it is found that the properties of the solid clusters are consistent with classical nucleation theory.

arXiv commentReplacement 1. Minor changes to figures

References in corpus (5)

• Direct calculation of the hard-sphere crystal/melt interfacial free energy
• Theoretical evidence for a dense fluid precursor to crystallization
• Crystal nucleation for a model of globular proteins
• Hard-sphere solids near close packing: Testing theories for crystallization
• First Principles Derivation of Effective Ginzburg-Landau Free Energy models for Crystalline Systems

Cited by in corpus (7)

• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
• Phase-field modeling of crystal nucleation in undercooled liquids -- A review
• Homogeneous Bubble Nucleation driven by local hot spots: a Molecular Dynamics Study
• Direct Simulations of Homogeneous Bubble Nucleation: Agreement with CNT and no Local Hot Spots
• Solid phase properties and crystallization in simple model systems
• Classical density functional theory, unconstrained crystallization, and polymorphic behavior
• Irreducible finite-size effects in surface free energies from crystal-nucleation data