Fractal interfaces in the self-stabilized etching of random systems
Laboratoire de Physique de la Matière Condensée,
CNRS, Ecole Polytechnique,
91128 Palaiseau Cédex, France
Accepted: 1 December 1997
We show through numerical simulation that fractal morphology appears at the end of the spontaneous evolution of the interface between a random system and a finite-etching solution. The appearance of this morphology is directly linked to the critical slowing-down of the reaction when the system is going towards a collective equilibrium. The process is explained in terms of gradient percolation theory.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 81.65.Cf – Surface cleaning, etching, patterning / 68.35.Bs – Surface structure and topography
© EDP Sciences, 1998