Blast and splash in a cold gas

Blast and splash in a cold gas

We study the response of a cold gas (all particles are initially at rest) to a kick when one particle suddenly starts moving. The outcome is a spherical shock wave advancing as $t^\frac{2}{d+2}$. The density, velocity, and temperature behind the shock are described by Euler equations. Deviations from the predictions of non-dissipative hydrodynamics arise in the central region whose size increases slower than the radius $R$ of the shock wave, viz. as $R^{4/5}$ in 2D and $R^{31/35}$ in 3D. In a one-dimensional semi-infinite setting, when the leftmost particle suddenly starts moving to the right, a growing number of « splatter » particles penetrate the initially empty half-line. The total energy and momentum of the splatter particles exhibit counterintuitive behaviors.

L'événement est terminé.

Date

3 mars 2025
Expiré!

Heure

14h00 – 15h00

Lieu

Salle Claude Itzykson, Bât. 774
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