Speaker
Kota Noto
(Yukawa Institute for Theoretical Physics)
Description
We performed a weakly nonlinear analysis of particle configurations that exhibit negative eigenvalues in the Hessian matrix. By expanding the potential energy in terms of particle displacements, we found that the linear term enhances the instability, whereas 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 the growth dynamics of the oscillations. We also discussed the limitations of this analytical approach.