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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 |
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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.
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Received: 13 November 2025
Revised: 21 December 2025
Accepted manuscript online: 08 January 2026
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PACS:
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05.45.Mt
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(Quantum chaos; semiclassical methods)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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05.45.-a
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(Nonlinear dynamics and chaos)
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| Fund: 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). |
Corresponding Authors:
Xiaodong Zhang
E-mail: xiaodongzhang2021@gmail.com
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Cite this article:
Xiaodong Zhang(张晓东) Spectral statistics and wave-chaos transition in three-dimensional acoustic cavities 2026 Chin. Phys. B 35 060510
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