Athermal analogue of sheared dense Brownian suspensions

Martin Trulsson 1 Mehdi Bouzid 2 Jorge Kurchan 2 Eric Clément 2 Philippe Claudin 2 Bruno Andreotti 2

EPL, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2015, 111, pp.18001

The rheology of dense Brownian suspensions of hard spheres is investigated numer- ically beyond the low-shear-rate Newtonian regime. We analyze an athermal analogue of these suspensions, with an effective logarithmic repulsive potential representing the vibrational entropic forces. We show that both systems present the same rheology without adjustable parameters. Moreover, all rheological responses display similar Herschel-Bulkley relations once the shear stress and the shear rate are respectively rescaled by a characteristic stress scale and by a microscopic reorganization time scale, both related to the normal confining pressure. This pressure-controlled approach, originally developed for granular flows, reveals a striking physical analogy between the colloidal glass transition and granular jamming.

  • 1. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
  • 2. PMMH - Physique et mécanique des milieux hétérogenes