Phase transformations ruled by non-simultaneous nucleation and growth do not lead to random distribution of nuclei. Since nucleation is only allowed in the untransformed portion of space, positions of nuclei are correlated. In this article an analytical approach is presented for computing pair-correlation function of nuclei in progressive nucleation. This quantity is further employed for characterizing the spatial distribution of nuclei through the nearest neighbor distribution function. The modeling is developed for nucleation in 2D space with power growth law and it is applied to describe electrochemical nucleation where correlation effects are significant. Comparison with both computer simulations and experimental data lends support to the model which gives insights into the transition from Poissonian to correlated nearest neighbor probability density. (C) 2018 Elsevier B.V. All rights reserved.

Tomellini, M. (2018). Spatial distribution of nuclei in progressive nucleation: Modeling and application. PHYSICA. A, 496, 481-494 [10.1016/j.physa.2017.12.150].

Spatial distribution of nuclei in progressive nucleation: Modeling and application

Tomellini M.
2018-04

Abstract

Phase transformations ruled by non-simultaneous nucleation and growth do not lead to random distribution of nuclei. Since nucleation is only allowed in the untransformed portion of space, positions of nuclei are correlated. In this article an analytical approach is presented for computing pair-correlation function of nuclei in progressive nucleation. This quantity is further employed for characterizing the spatial distribution of nuclei through the nearest neighbor distribution function. The modeling is developed for nucleation in 2D space with power growth law and it is applied to describe electrochemical nucleation where correlation effects are significant. Comparison with both computer simulations and experimental data lends support to the model which gives insights into the transition from Poissonian to correlated nearest neighbor probability density. (C) 2018 Elsevier B.V. All rights reserved.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/03 - Fisica della Materia
English
Phase transformations; KJMA model; Nucleation; Spatial distribution; Pair-correlation function; Electrodeposition
Tomellini, M. (2018). Spatial distribution of nuclei in progressive nucleation: Modeling and application. PHYSICA. A, 496, 481-494 [10.1016/j.physa.2017.12.150].
Tomellini, M
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
Physa A 2018-main.pdf

accesso solo dalla rete interna

Licenza: Copyright dell'editore
Dimensione 1.98 MB
Formato Adobe PDF
1.98 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/196953
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 7
social impact