Towards a theory of self-organization phenomena in bubble-liquid mixtures

I. Akhatov, U. Parlitz, W. Lauterborn

Research output: Contribution to journalArticlepeer-review

68 Citations (Scopus)

Abstract

A model for the theoretical description of one- and two-dimensional structure formation in bubble-liquid mixtures is developed. It consists of a coupled system of partial differential equations describing the spatiotemporal evolution of the sound field amplitude and the redistribution of bubbles in a liquid. A linear stability analysis of the (unstable) uniform bubble distribution is presented. Numerical simulations of the evolution of the sound field amplitude and the bubble concentration show self-organization phenomena. The relation be-tween this system and the nonlinear Schrödinger equation is discussed.

Original languageEnglish
Pages (from-to)4990-5003
Number of pages14
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume54
Issue number5
DOIs
Publication statusPublished - 1996
Externally publishedYes

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