Croissance électrochimique : un modèle de gaz sur réseau en champ moyen ; suivi de : Croissance laplacienne d'aiguilles parallèles

Abstract : The first part of this research is an attempt to describe the arborescent growth by electrodeposition with a mean field lattice-gas approach.

This growth model is developped based on statistical mecanics using mean field kinetic equations to describe the evolution of the five chemical species typically involved in these systems: the metal, cations, anions, a solvent and electrons. With these equations, established from microscopic theory, we aim to achieve arborescent growth on the cathod by including phenomena like cristal anisotropy effects, in addition to the mobility, applied voltage and electronic transfer rate parameters.

For numerical validation, this model was applied to simple unidimensional systems, and shown to produce arborescent growth in two dimensions.

The second part of this work involves an analytical approach to DLA for the simple case of parallel needle growth. With the established conformal mapping method, we apply a unique modification to the model by assuming that the growth is discrete and probabilistic. Thus, we derive a discrete fokker-planck equation for the probability of a given distribution of needle length over time.

Assuming a hierarchical growth, with successive period doubling, we analytically confirm the needle distribution as a function of the height, as obtained numerically by others.
Document type :
Theses
Physique [physics]. Ecole Polytechnique X, 2001. Français
Liste complète des métadonnées

https://pastel.archives-ouvertes.fr/tel-00001819
Contributor : Marc-Olivier Bernard <>
Submitted on : Monday, October 14, 2002 - 5:15:50 PM
Last modification on : Wednesday, July 25, 2018 - 1:23:48 AM
Document(s) archivé(s) le : Friday, April 2, 2010 - 8:00:58 PM

Identifiers

  • HAL Id : tel-00001819, version 1

Collections

Citation

Marc-Olivier Bernard. Croissance électrochimique : un modèle de gaz sur réseau en champ moyen ; suivi de : Croissance laplacienne d'aiguilles parallèles. Physique [physics]. Ecole Polytechnique X, 2001. Français. 〈tel-00001819〉

Share

Metrics

Record views

510

Files downloads

1022