A splash in a one-dimensional cold gas

A splash in a one-dimensional cold gas

Blog Article

We consider a set of hard point particles distributed uniformly with a specified density on the positive half-line and all initially at rest.The particle masses alternate between two values, $m$ and $M$.The particles interact via collisions that conserve energy and momentum.We study the cascade of activity that results when the left-most particle is given a Facial Cleansing Kits positive velocity.

At long times we find that this leads to two fascinating features in the observed dynamics.First, in the bulk of the gas, a shock front develops separating the cold gas from a thermalized region.The shock-front travels sub-ballistically, with the bulk described by self-similar solutions of Euler hydrodynamics.Second, there is a splash region Stock Pot Ranges formed by the recoiled particles which move ballistically with negative velocities.

The splash region is completely non-hydrodynamic and we propose two conjectures for the long time particle dynamics in this region.We provide a detailed analytic understanding of these coexisting regimes.These are supported by the results of molecular dynamics simulations.