Рубрики:
PHASE SINGULARITIES
SPECTRAL STATISTICS
FIELDS
BILLIARDS
PATTERNS
Кл.слова (ненормированные):
Chaotic systems -- Correlation methods -- Navier Stokes equations -- Random processes -- Statistics -- Elastic media -- In-plane random waves -- Navier-Cauchy equations -- Nodal points (NP) -- Electromagnetic waves
PHASE SINGULARITIES
SPECTRAL STATISTICS
FIELDS
BILLIARDS
PATTERNS
Кл.слова (ненормированные):
Chaotic systems -- Correlation methods -- Navier Stokes equations -- Random processes -- Statistics -- Elastic media -- In-plane random waves -- Navier-Cauchy equations -- Nodal points (NP) -- Electromagnetic waves
Аннотация: We consider the nodal points (NPs) u=0 and v=0 of the in-plane vectorial displacements u=(u,v) which obey the Navier-Cauchy equation. Similar to the Berry conjecture of quantum chaos, we present the in-plane eigenstates of chaotic billiards as the real part of the superposition of longitudinal and transverse plane waves with random phases. By an average over random phases we derive the mean density and correlation function of NPs. Consequently we consider the distribution of the nearest distances between NPs.
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Держатели документа:
[Maksimov, Dmitrii N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Максимов, Дмитрий Николаевич