Gaussian random waves in elastic media
Dmitrii N. Maksimov, Almas F. Sadreev
TL;DR
This paper extends the Berry conjecture to elastic media, deriving correlation functions for elastic wave displacements and validating them through numerical simulations in a chaotic billiard system.
Contribution
It introduces an elastic analogue of the Berry conjecture, deriving correlation functions for elastic waves and confirming their accuracy with numerical results.
Findings
Correlation functions match numerical simulations
Elastic wave behavior aligns with conjectured models
Validation in a chaotic billiard system
Abstract
Similar to the Berry conjecture of quantum chaos we consider elastic analogue which incorporates longitudinal and transverse elastic displacements with corresponding wave vectors. Based on that we derive the correlation functions for amplitudes and intensities of elastic displacements. Comparison to numerics in a quarter Bunimovich stadium demonstrates excellent agreement.
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