Localization transition in acoustic propagation in bubbly liquids

摘要

In the past, it was suggested that localization can be achieved for acoustic wave propagation in liquids with even a very small concentration of air-filled bubbles. In this paper we present an ab initio numerical investigation of acoustic localization in bubbly liquids. The results show that the localization of acoustic waves is reached when the bubble volume fraction is greater than a threshold value about 10~(-5). This is in good agreement with the previous prediction [Sornette, Souillard, Europhys. Lett. 7 (1998) 169].