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arXiv · 0905.1588

Non-Markovian dynamics of clusters during nucleation

J. Kuipers·G. T. Barkema
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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.

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J. Kuipers, G. T. Barkema. 2009-05-11. Non-Markovian dynamics of clusters during nucleation. https://doi.org/10.1103/physreve.79.062101

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