Speaker
Kota Noto
(Yukawa Institute for Theoretical Physics)
Description
We performed a weeknonlinear analysis of particle configurations exhibiting negative eigenvalues in the Hessian matrix. By expanding the potential energy with respect to particle displacements, we found that the linear term enhances the instability, while the cubic term suppresses its growth. A comparison between the derived nonlinear equation and numerical simulations revealed qualitative agreement in features such as the saturation amplitude and growth dynamics of the oscillations. We also examined the limitations of this analytical approach.
