Spectral statistics and wave-chaos transition in three-dimensional acoustic cavities

doi:10.1088/1674-1056/ae3555

中国物理B ›› 2026, Vol. 35 ›› Issue (6): 60510-060510.doi: 10.1088/1674-1056/ae3555

Spectral statistics and wave-chaos transition in three-dimensional acoustic cavities

Xiaodong Zhang(张晓东)^1,2,†

1 Shandong Key Laboratory of Space Environment and Exploration Technology, College of Physics and Electronic Engineering, Qilu Normal University, Jinan 250200, China;
2 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China

收稿日期:2025-11-13 修回日期:2025-12-21 接受日期:2026-01-08 发布日期:2026-06-15
通讯作者: Xiaodong Zhang E-mail:xiaodongzhang2021@gmail.com
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11775100, 12247101, and 11961131009), the Fundamental Research Funds for the Central Universities (Grant No. lzujbky-2025-jdzx07), the Natural Science Foundation of Gansu Province (Grant Nos. 22JR5RA389 and 25JRRA799), and the ‘111 Center’ under Grant No. B20063. X.Z. acknowledges financial support from the China Scholarship Council (Grant No. CSC-202306180087).

Spectral statistics and wave-chaos transition in three-dimensional acoustic cavities

Xiaodong Zhang(张晓东)^1,2,†

1 Shandong Key Laboratory of Space Environment and Exploration Technology, College of Physics and Electronic Engineering, Qilu Normal University, Jinan 250200, China;
2 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China

Received:2025-11-13 Revised:2025-12-21 Accepted:2026-01-08 Published:2026-06-15
Contact: Xiaodong Zhang E-mail:xiaodongzhang2021@gmail.com
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11775100, 12247101, and 11961131009), the Fundamental Research Funds for the Central Universities (Grant No. lzujbky-2025-jdzx07), the Natural Science Foundation of Gansu Province (Grant Nos. 22JR5RA389 and 25JRRA799), and the ‘111 Center’ under Grant No. B20063. X.Z. acknowledges financial support from the China Scholarship Council (Grant No. CSC-202306180087).

摘要/Abstract

摘要： We numerically study three-dimensional acoustic cavities with progressively increasing geometric complexity and analyze their spectral and spatial statistics. The eigenfrequency spectra and adjacent level-spacing ratios reveal a clear transition from Poisson to Gaussian orthogonal ensemble (GOE) statistics as the cavity structure becomes more irregular. The intermediate regimes are quantitatively characterized using the Berry-Robnik (BR) and Brody distributions, which yield consistent estimates of the chaotic fraction. Furthermore, both the participation ratio and long-range spectral correlations confirm the continuous evolution from integrable to chaotic dynamics. The distributions of normalized wavefunction amplitudes gradually approach the Gaussian prediction, indicating the onset of wave chaos. These results demonstrate that three-dimensional acoustic resonators provide a numerically controllable and experimentally accessible platform for studying the universal transition from Poisson to GOE statistics and for exploring the interplay between geometry and wave chaos.

关键词: wave chaos, spectral statistics, acoustic resonators, Poisson-GOE transition

Abstract: We numerically study three-dimensional acoustic cavities with progressively increasing geometric complexity and analyze their spectral and spatial statistics. The eigenfrequency spectra and adjacent level-spacing ratios reveal a clear transition from Poisson to Gaussian orthogonal ensemble (GOE) statistics as the cavity structure becomes more irregular. The intermediate regimes are quantitatively characterized using the Berry-Robnik (BR) and Brody distributions, which yield consistent estimates of the chaotic fraction. Furthermore, both the participation ratio and long-range spectral correlations confirm the continuous evolution from integrable to chaotic dynamics. The distributions of normalized wavefunction amplitudes gradually approach the Gaussian prediction, indicating the onset of wave chaos. These results demonstrate that three-dimensional acoustic resonators provide a numerically controllable and experimentally accessible platform for studying the universal transition from Poisson to GOE statistics and for exploring the interplay between geometry and wave chaos.

Key words: wave chaos, spectral statistics, acoustic resonators, Poisson-GOE transition

中图分类号: (Quantum chaos; semiclassical methods)

05.45.Mt

05.45.Pq (Numerical simulations of chaotic systems) 05.45.-a (Nonlinear dynamics and chaos)

Xiaodong Zhang(张晓东). Spectral statistics and wave-chaos transition in three-dimensional acoustic cavities[J]. 中国物理B, 2026, 35(6): 60510-060510.

Xiaodong Zhang(张晓东). Spectral statistics and wave-chaos transition in three-dimensional acoustic cavities[J]. Chin. Phys. B, 2026, 35(6): 60510-060510.

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Spectral statistics and wave-chaos transition in three-dimensional acoustic cavities

Spectral statistics and wave-chaos transition in three-dimensional acoustic cavities

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