Anomalous viscous retardation of a mechanical wave at percolation threshold

S. Roux , A. Hansen

We study the mean transit time needed for a mechanical shock to propagate through a random depleted lattice of freely-rotating elastic springs in a viscous medium at the central-force percolation threshold. This problem is the exact mechanical counterpart of anomalous diffusion. We show that the mean transit time for a pulse to cross a lattice of size L, scales as ∝ L2+θ' through a transfer-matrix analysis.

Mots clés: elastic waves; percolation; shock waves

Domaines: Articles anciens

S. Roux, A. Hansen. Anomalous viscous retardation of a mechanical wave at percolation threshold. Journal de Physique, 1988, 49 (6), pp.897-900. ⟨10.1051/jphys:01988004906089700⟩. ⟨jpa-00210777⟩