Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid

Details Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid

2005-07-28

arxiv.org/abs/cond-mat/0507689v2

Phys. Rev. Lett. 96, 010601 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.96.010601

We investigate the behavior of a one-dimensional diatomic fluid under a shock wave excitation. We find that the properties of the resulting shock wave are in striking contrast with those predicted by hydrodynamic and kinetic approaches, e.g., the hydrodynamic profiles relax algebraically toward their equilibrium values. Deviations from local thermodynamic equilibrium are persistent, decaying as a power law of the distance to the shock layer. Non-equipartition is observed infinitely far from the shock wave, and the velocity-distribution moments exhibit multiscaling. These results question the validity of simple hydrodynamic theories to understand collective behavior in 1d fluids.

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