Spontaneous catastrophe behaviour in acoustic black holes at low frequencies. (September 2021)

• Record Type: Journal Article
• Authors: Liang, Xiao; Chu, Jiaming; Tan, Jiale; Nie, Songhui; Liu, Baixi; Zheng, Xuejun; Zhou, Zhuo; Wu, Jiu Hui
• Is Part Of: Applied acoustics. Volume 180(2021)
• Publication Date: 2021-09
• Subjects: Acoustic black hole -- Catastrophe behaviour -- Landau's phase-transition theory; Acoustical engineering -- Periodicals; Periodicals; 620.2
• DOI: 10.1016/j.apacoust.2021.108109
• Languages: English
• ISSNs: 0003-682X

Abstract

Abstract: In acoustic black holes (ABH) at low frequencies, catastrophe sound energy flux behaviour occurs spontaneously if the tip size of the ABHs reaches a critical value. This report demonstrates that this catastrophe behaviour can be quantified by analysing the relative phase transitions using Landau's phase-transition theory. Two catastrophe behaviours corresponding to two stable phases (states) were observed using analytical calculations and a numerical analysis. The sound energy flux was proportional to 3 power laws and square relationships with the tip diameters, respectively. The 3 power law relationships were proved using low-frequency experimental observations. For engineering applications, ABH structures with small tip diameters can isolate more than 11 dB of low-frequency sound waves below 1600 Hz. We associated this cataclysmic phase transition with the geometric structure of the ABHs.