Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (3)
- Authors
- Maksimov, Dmitry N.; Sadreev, Almas F.
- Contact information
- Maksimov, Dmitry N. : Kirensky Institute of Physics, SB RAS , Akademgorodok 50, Krasnoyarsk, 660036, Russia , e-mail: ; Sadreev, Almas F. : Kirensky Institute of Physics, SB RAS , Akademgorodok 50, Krasnoyarsk, 660036, Russia
- Keywords
- Gaussian random waves; wave chaos; billiard; nodal points
- Abstract
Similar to Berry conjecture for quantum chaos we consider elastic analogue which incorporates longitu- dinal and transverse random waves. Based on that we derive the intensity correlation function of elastic displacement field. Comparison to numerics in a quarter Bunimovich stadium demonstrates a good agree- ment. We also consider nodal points (NPs) u = 0, v = 0 of the in-plane random vectorial displacement field u = (u, v). We derive the mean density and correlation function of NPs. Consequently, we derive the distribution of the nearest distances between NPs
- Pages
- 349-356
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/1736
Journal of Siberian Federal University. Mathematics & Physics / Gaussian Random Waves in Elastic Medium
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