3 papers
nlin.CD2006
Wavevector resonance in a nonlinear multi-wavespeed chaotic billiard
Alexei Akolzin, Richard L. Weaver
Nonlinear coupling between eigenmodes of a system leads to spectral energy redistribution. For multi-wavespeed chaotic billiards the average coupling strength can exhibit sharp dis…
cond-mat.dis-nn2004
Generalized Berry Conjecture and mode correlations in chaotic plates
Alexei Akolzin, Richard L. Weaver
We consider a modification of the Berry Conjecture for eigenmode statistics in wave-bearing systems. The eigenmode correlator is conjectured to be proportional to the imaginary par…
cond-mat.other2003
Energy Spectrum Evolution of a Diffuse Field in Elastic Body Caused by Weak Nonlinearity
Alexei Akolzin, Richard L. Weaver
We study the evolution of diffuse elastodynamic spectral energy density under the influence of weak nonlinearity. It is shown that the rate of change of this quantity is given by a…