Labyrinthine pattern formation in disordered system of the magnetic fluid drops: numerical simulation

I. Drikis¹ - J.-C. Bacri² - A. Cebers¹

¹ Institute of Physics, University of Latvia, Salaspils-1, LV-2169, Latvia
² Laboratoire des Milieux Desordonnees et Heterogenes (case 78) Universite Paris 6, 4 place Jussieu, 75252 Paris Cedex 05, France

Abstract
Development of the labyrinthine patterns arises in a wide variety of the systems. Here the labyrinthine pattern formation is studied in the disordered system of the magnetic fluid drops. By the numerical simulation it is illustrated that in the present case labyrinthine pattern formation occurs due to the fingering instability of the separate droplets and mutual repulsion of the arising stripes. The structure factor of the highly disordered system of the magnetic fluid stripes is calculated, and it is shown that the characteristic distance between stripes coincides fairly well with the period of the equilibrium system of the infinite straight magnetic fluid stripes. Figs 9, Refs 25.