Abstract

A great deal of experimental evidence suggests that a wide spectrum of phase transitions occur in a multistage manner via the appearance and subsequent transformation of intermediate metastable states. Such multistage mechanisms cannot be explained within the realm of the classical nucleation framework. Hence, there is a strong need to develop new theoretical tools to explain the occurrence and nature of these ubiquitous intermediate phases. Here we outline a unified and self-consistent theoretical framework to describe both classical and nonclassical nucleation. Our framework provides a detailed explanation of the whole multistage nucleation pathway showing in particular that the pathway involves a single energy barrier and it passes through a dense phase, starting from a low-density initial phase, before reaching the final stable state. Moreover, we demonstrate that the kinetics of matter inside subcritical clusters favors the formation of nucleation clusters with an intermediate density, i.e. nucleation precursors. Remarkably, these nucleation precursors are not associated with a local minimum of the thermodynamic potential, as commonly assumed in previous phenomenological approaches. On the contrary, we find that they emerge due to the competition between thermodynamics and kinetics of cluster formation. Thus, the mechanism uncovered for the formation of intermediate phases can be used to explain recently reported experimental findings in crystallization: up to now such phases were assumed a consequence of some complex energy landscape with multiple energy minima. Using fundamental concepts from kinetics and thermodynamics, we provide a satisfactory explanation for the so-called nonclassical nucleation pathways observed in experiments.

Highlights

  • Phase transitions from less dense states to more dense ones are omnipresent in a wide spectrum of natural phenomena around us [1, 2]

  • We demonstrate that the kinetics of matter inside subcritical clusters favors the formation of nucleation clusters with an intermediate density, i.e. nucleation precursors

  • Using elements from differential geometry and stochastic calculus we show that any multi-parameter model can be reduced to an analytically tractable one-parameter model by following the nucleation pathway, i.e. the most-likely path (MLP) of the system

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Summary

17 August 2018

Miguel A Durán-Olivencia, Peter Yatsyshin, Serafim Kalliadasis and James F Lutsko. Any further distribution of multistage manner via the appearance and subsequent transformation of intermediate metastable this work must maintain attribution to the states. Such multistage mechanisms cannot be explained within the realm of the classical nucleation author(s) and the title of framework. We demonstrate that the kinetics of matter inside subcritical clusters favors the formation of nucleation clusters with an intermediate density, i.e. nucleation precursors. These nucleation precursors are not associated with a local minimum of the thermodynamic potential, as commonly assumed in previous phenomenological approaches. Using fundamental concepts from kinetics and thermodynamics, we provide a satisfactory explanation for the so-called nonclassical nucleation pathways observed in experiments

Introduction
Formulation
Natural dynamics
Nucleation rate and time
Results
Conclusions
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