Archive ouverte HAL – Correlated Rigidity Percolation and Colloidal Gels

Shang ZhangLeyou ZhangMehdi Bouzid 1, 2 D. Zeb RocklinEmanuela del Gado 3 Xiaoming Mao 4

Shang Zhang, Leyou Zhang, Mehdi Bouzid, D. Zeb Rocklin, Emanuela del Gado, et al.. Correlated Rigidity Percolation and Colloidal Gels. Physical Review Letters, American Physical Society, 2019, 123 (5), ⟨10.1103/PhysRevLett.123.058001⟩. ⟨hal-02291872⟩

Rigidity percolation (RP) occurs when mechanical stability emerges in disordered networks as constraints or components are added. Here we discuss RP with structural correlations, an effect ignored in classical theories albeit relevant to many liquid-to-amorphous-solid transitions, such as colloidal gelation, which are due to attractive interactions and aggregation. Using a lattice model, we show that structural correlations shift RP to lower volume fractions. Through molecular dynamics simulations, we show that increasing attraction in colloidal gelation increases structural correlation and thus lowers the RP transition, agreeing with experiments. Hence colloidal gelation can be understood as a RP transition, but occurs at volume fractions far below values predicted by the classical RP, due to attractive interactions which induce structural correlation.

  • 1. PMMH - Physique et mécanique des milieux hétérogenes
  • 2. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
  • 3. LCVN - Laboratoire des colloïdes, verres et nanomatériaux
  • 4. UIUC - Physics Department