2009/05/11 by J. Kuipers, G. T. Barkema · 9 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cluster (spacecraft) #Computer science #Dynamics (music) #Homogeneous #Ising model #Markov process #Mathematics #Nucleation #Physics #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech #nanoparticles nucleation surface interactions
paper · pdf · doi:10.1103/physreve.79.062101
published in Physical Review E 79(6), 062101 (American Physical Society) · 4 pages, 4 figures
arxiv created 2009/05/11 · openalex publication_date 2009/06/03 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Most theories of homogeneous nucleation are based on a Fokker-Planck-like description of the behavior of the mass of clusters. Here we will show that these approaches are incomplete for a large class of nucleating systems, as they assume the effective dynamics of the clusters to be Markovian, i.e., memoryless. We characterize these non-Markovian dynamics and show how this influences the dynamics of clusters during nucleation. Our results are validated by simulations of a three-dimensional Ising model with locally conserved magnetization.