Blast Waves in the Zero Temperature Hard Sphere Gas: Double Scaling Structure

We study the blast generated by sudden localized release of energy in a cold gas. Specifically, we consider one-dimensional hard-rod gas and two-dimensional hard disc For this problem, Taylor–von Neumann–Sedov (TvNS) solution Euler equations has self-similar form. The shock wave remains infinitely strong for zero-temperature gas, so applies indefinitely. TvNS ignores dissipation, however. show that is erroneous core region which, two dimensions, expands as $$t^{2/5}$$ while propagates $$t^{1/2}$$ . A new depending on scaling variable $$r/t^{2/5}$$ describes core, bulk. demonstrate from numerical Navier–Stokes (NS) molecular dynamics simulations discs dimensions rods one dimension. In both cases, front position predicted NS agrees with simulations. However, fail to describe near-core form functions.