Pathways to self-organization: Crystallization via nucleation and growth
Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090, Wien, Austria
* e-mail: Christoph.Dellago@univie.ac.at
Accepted: 13 July 2016
Published online: 10 August 2016
Crystallization, a prototypical self-organization process during which a disordered state spontaneously transforms into a crystal characterized by a regular arrangement of its building blocks, usually proceeds by nucleation and growth. In the initial stages of the transformation, a localized nucleus of the new phase forms in the old one due to a random fluctuation. Most of these nuclei disappear after a short time, but rarely a crystalline embryo may reach a critical size after which further growth becomes thermodynamically favorable and the entire system is converted into the new phase. In this article, we will discuss several theoretical concepts and computational methods to study crystallization. More specifically, we will address the rare event problem arising in the simulation of nucleation processes and explain how to calculate nucleation rates accurately. Particular attention is directed towards discussing statistical tools to analyze crystallization trajectories and identify the transition mechanism.
Key words: Flowing Matter: Liquids and Complex Fluids
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2016