title: Blast Dynamics in a Dissipative Gas.
abstract: The blast caused by an intense explosion has been extensively studied in conservative fluids, where the Taylor-von Neumann-Sedov hydrodynamic solution is a prototypical example of self-similarity driven by conservation laws. In dissipative media, however, energy conservation is violated, yet a distinctive self-similar solution appears. It hinges on the decoupling of random and coherent motion permitted by a broad class of dissipative mechanisms. This enforces a peculiar layered structure in the shock, for which we derive the full hydrodynamic solution, validated by a microscopic approach based on molecular dynamics simulations. We predict and evidence a succession of temporal regimes, as well as a long-time corrugation instability, also self-similar, which disrupts the blast boundary. These generic results may apply from astrophysical systems to granular gases, and invite further cross-fertilization between microscopic and hydrodynamic approaches of shock waves.
authors.affiliation: Department of Ecology and Evolutionary Biology, Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: M
authors.initials: M
authors.lastname: Barbier
authors.affiliation: Laboratoire de Physique Théorique de l'ENS (CNRS UMR 8549) and Institut de Physique Théorique Philippe Meyer, 24 rue Lhomond 75005 Paris, France.
authors.forename: D
authors.initials: D
authors.lastname: Villamaina
authors.affiliation: Laboratoire de Physique Théorique et Modèles Statistiques (CNRS UMR 8626), Bâtiment 100, Université Paris-Sud, 91405 Orsay cedex, France.
authors.forename: E
authors.initials: E
authors.lastname: Trizac
mesh_terms: D005107:Explosions; D005740:Gases; D008962:Models, Theoretical
chemical_list: D005740:Gases