Séminaire du LPTMS: Jean-Baptiste Delfau

A counter-intuitive case of spontaneous aggregation : crystals of clusters

Jean-Baptiste Delfau (Universitat de les Illes Balears, Palma de Mallorca, Spain)

Particles interacting via purely repulsive soft-core potentials can spontaneously aggregate, despite repelling each other, and form periodic crystals of particle clusters. We studied this phenomenon – relevant to colloidal or polymer solutions – for passive (Brownian) and active (self-propelling) particles at two levels of description: performing numerical simulations of the discrete particle dynamics, and by linear and nonlinear analysis of the corresponding Dean-Kawasaki equations for the macroscopic particle density. In this seminar, I will explain what are the mechanisms of the instability leading to clustering which turn out to be the interplay between diffusion or self-propulsion, the intracluster forces and the forces between neighboring clusters.

References :

  • J.-B. Delfau, H. Ollivier, C. López, B. Blasius & E. Hernández-García, Pattern formation with repulsive soft-core interactions: Discrete particle dynamics and Dean-Kawasaki equation, Phys. Rev. E 94, 042120 (2016)
  • J.-B. Delfau, C. López, E. Hernández-García, Active cluster crystals, arXiv:1701.02639

Date/Time : 28/03/2017 - 11:00 - 12:00

Location : LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay

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