Non-Markovian dynamics of clusters during nucleation

TL;DR

This paper investigates the non-Markovian behavior of cluster dynamics during nucleation, revealing limitations of traditional Markovian models and validating findings through Ising model simulations.

Contribution

It characterizes non-Markovian cluster dynamics in nucleation and demonstrates their impact, extending beyond traditional Markovian-based theories.

Findings

Non-Markovian effects significantly influence nucleation dynamics.

Traditional models assuming Markovian behavior are incomplete for many systems.

Simulation results confirm the importance of memory effects in cluster evolution.

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.