1994/05/03 by Antonio Coniglio, Patrizia Ruggiero, P. Ruggiero +1 · 3 citations
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat #nanoparticles nucleation surface interactions
paper · pdf · doi:10.1103/physreve.50.1046
48 pages with 6 figures available upon request, plain LaTex
arxiv created 1994/05/03 · openalex publication_date 1994/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The dependence of the scaling properties of the structure factor on space dimensionality, range of interaction, initial and final conditions, presence or absence of a conservation law is analysed in the framework of the large-N model for growth kinetics. The variety of asymptotic behaviours is quite rich, including standard scaling, multiscaling and a mixture of the two. The different scaling properties obtained as the parameters are varied are controlled by a structure of fixed points with their domains of attraction. Crossovers arising from the competition between distinct fixed points are explicitely obtained. Temperature fluctuations below the critical temperature are not found to be irrelevant when the order parameter is conserved. The model is solved by integration of the equation of motion for the structure factor and by a renormalization group approach.