The speaker: Prof. Dr. Yasha Shnir
Title: Chaotic dynamics of solitons in 1+1 dim non-integrable scalar models
Abstract:
We discuss new results concerning chaotic dynamics in non-perturbative sectors of the classical one-dimensional phi4 and phi6 models. Considering the process of production of kink-antikink pairs in the collision of particle-like states we have shown that the process depends fractally on the amplitude of the perturbations and the wave number of the perturbation. Considering the process of the kink-antikink collisions in the one-dimensional non-integrable scalar φ6 model we reveal that, although the classical kink solutions for this model do not possess an internal vibrational model there still is a resonant scattering structure of the process of kink-antikink collisions. Finally, we consider chaotic structure of the boundary collisions in the phi4 model in semi-infinite line.
Abstract:
We discuss new results concerning chaotic dynamics in non-perturbative sectors of the classical one-dimensional phi4 and phi6 models. Considering the process of production of kink-antikink pairs in the collision of particle-like states we have shown that the process depends fractally on the amplitude of the perturbations and the wave number of the perturbation. Considering the process of the kink-antikink collisions in the one-dimensional non-integrable scalar φ6 model we reveal that, although the classical kink solutions for this model do not possess an internal vibrational model there still is a resonant scattering structure of the process of kink-antikink collisions. Finally, we consider chaotic structure of the boundary collisions in the phi4 model in semi-infinite line.
Yasha promised to give an ample and elementary introduction.
Date: 24/11, 13:00, room 407, block B.