12–16 déc. 2022
IMT
Fuseau horaire Europe/Paris

Topological states in a swarmalator model

15 déc. 2022, 15:50
45m
Amphithéâtre Schwartz (IMT)

Amphithéâtre Schwartz

IMT

Université Paul Sabatier, 118 Route de Narbonne, 31000 Toulouse France

Orateur

Pierre DEGOND

Description

Swarmalators are agents that combine the features of swarming particles and
oscilla tors hence the name, contraction of ‘swarmer’ and ‘oscillator’. Each
particle is endowed with a phase which modulates its interaction force with
the other particles. In return, relative positions modulate phase
synchronization between interacting particles. In the talk, I will present a
model whree there is no force reciprocity: when a particle attracts another
one, the latter repels the former. This results in a pursuit behavior. I
will derive a hydrodynamic model and show that it has explicit special
solutions enjoying a non-trivial topology quantified by a phase index. I
will present a theoretical and numerical study of these solutions. This is
joint work with Antoine Diez (Kyoto University) and Adam Walczak (Imperial
College London).

Documents de présentation

Aucun document.