2002/04/05 by László Gránásy, Laszlo Granasy, Tamás Börzsönyi +3 · 189 citations
Earth and Planetary Sciences · Engineering · Materials Science · Physics and Astronomy · #Aluminum Alloy Microstructure Properties #Binary number #Classical nucleation theory #Condensed matter physics #Crystal (programming language) #Crystallization #Diffusion #Field (mathematics) #Homogeneous #Materials science #Nucleation #Phase (matter) #Physics #Quantum mechanics #Self-diffusion #Solidification and crystal growth phenomena #Statistical physics #Supercooling #Surface energy #Thermodynamics #cond-mat.soft #nanoparticles nucleation surface interactions
paper · pdf · doi:10.1103/physrevlett.88.206105
published in Physical Review Letters 88(20), 206105 (American Physical Society) · 4 pages, 4 figures, accepted to PRL
arxiv created 2002/04/05 · openalex publication_date 2002/05/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a phase field theory for binary crystal nucleation. In the one-component limit, quantitative agreement is achieved with computer simulations (Lennard-Jones system) and experiments (ice-water system) using model parameters evaluated from the free energy and thickness of the interface. The critical undercoolings predicted for Cu-Ni alloys accord with the measurements, and indicate homogeneous nucleation. The Kolmogorov exponents deduced for dendritic solidification and for "soft impingement" of particles via diffusion fields are consistent with experiment.