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July 9, 2025
Yukawa Institute for Theoretical Physics, Kyoto University
Asia/Tokyo timezone

Weakly Nonlinear Analysis Based on Unstable Modes in Amorphous Solids

Jul 9, 2025, 11:00 AM
30m

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.

Presentation materials