# Annihilative fractals of coffee on milk formed by Rayleigh-Taylor instability - Nonlinear Sciences > Pattern Formation and Solitons

Annihilative fractals of coffee on milk formed by Rayleigh-Taylor instability - Nonlinear Sciences > Pattern Formation and Solitons - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We have discovered a new fractal pattern, coffee exhibits on a horizontalsurface, with a fractal dimension $1.88 \pm 0.06$, when a heavy coffee dropletinteracts with the surface of lighter milk. Parts of coffee pattern on thesurface disappear due to Rayleigh-Taylor instability, and the annihilativebehavior produces the fractal pattern. Coffee fractals and the Sierpinskicarpet have common features, such as the fractal dimension, annihilativebehavior, and an exponential decrease of the pattern area. It is suggested theformation of fractal follows a rule similar to that of the Sierpinski carpet.

Autor: Michiko Shimokawa, Shonosuke Ohta

Fuente: https://arxiv.org/