Non-Markovian dynamics of clusters during nucleation
Statistical Mechanics
2015-05-13 v1
Abstract
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.
Cite
@article{arxiv.0905.1588,
title = {Non-Markovian dynamics of clusters during nucleation},
author = {J. Kuipers and G. T. Barkema},
journal= {arXiv preprint arXiv:0905.1588},
year = {2015}
}
Comments
4 pages, 4 figures