Kinetics of phase transformations with heterogeneous correlated-nucleation
| Autor: | Sara Politi, Massimo Tomellini |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Materials science Statistical Mechanics (cond-mat.stat-mech) Series (mathematics) Truncation Kinetics Time evolution Nucleation FOS: Physical sciences Thermodynamics Condensed Matter Physics Kinetic energy Phase transformation kinetics Non-random nucleation Heterogeneous nucleation KJMA theory Electrodeposition Phase (matter) Deposition (phase transition) Condensed Matter - Statistical Mechanics Settore CHIM/02 - Chimica Fisica |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 513:175-188 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/j.physa.2018.08.165 |
| Popis: | We develop a stochastic approach for describing the kinetics of 3D-phase transformations ruled by time-dependent correlated nucleation at solid surfaces. The kinetics is expressed as a series of correlation functions and, at odds with modeling based on Poisson statistics, it is formulated in terms of actual nucleation rate. It is shown that truncation of the series up to second order terms in correlation functions provides a very good approximation of the kinetics. The time evolution of both total amount of growing phase and surface coverage by the new phase have been determined. The theory is applied to describe progressive nucleation with parabolic growth under time dependent hard-disk correlation. This approach is suitable for describing electrochemical deposition by nucleation and growth where correlation effects are significant. In this ambit the effect of correlated nucleation on the behavior of kinetic quantities used to study electrodeposition has also been investigated. |
| Databáze: | OpenAIRE |
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