skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid

Abstract

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. Nonequipartition 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.

Authors:
 [1];  [2]
  1. Department of Physics, Boston University, Boston, Massachusetts 02215 (United States)
  2. (Spain)
Publication Date:
OSTI Identifier:
20774993
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevLett.96.010601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BREAKDOWN; HYDRODYNAMICS; LTE; ONE-DIMENSIONAL CALCULATIONS; SHOCK WAVES; THERMODYNAMICS

Citation Formats

Hurtado, Pablo I., and Institute Carlos I for Theoretical and Computational Physics, Universidad de Granada, Granada 18071. Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid. United States: N. p., 2006. Web. doi:10.1103/PhysRevLett.96.010601.
Hurtado, Pablo I., & Institute Carlos I for Theoretical and Computational Physics, Universidad de Granada, Granada 18071. Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid. United States. doi:10.1103/PhysRevLett.96.010601.
Hurtado, Pablo I., and Institute Carlos I for Theoretical and Computational Physics, Universidad de Granada, Granada 18071. Fri . "Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid". United States. doi:10.1103/PhysRevLett.96.010601.
@article{osti_20774993,
title = {Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid},
author = {Hurtado, Pablo I. and Institute Carlos I for Theoretical and Computational Physics, Universidad de Granada, Granada 18071},
abstractNote = {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. Nonequipartition 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.},
doi = {10.1103/PhysRevLett.96.010601},
journal = {Physical Review Letters},
number = 1,
volume = 96,
place = {United States},
year = {Fri Jan 13 00:00:00 EST 2006},
month = {Fri Jan 13 00:00:00 EST 2006}
}
  • We study dynamics of nearly elastic particles constrained to move on a line with energy input from the boundaries. We find that for typical initial conditions, the system evolves to an extraordinary'' state with particles separated to two groups: The majority of the particles get clamped into a small region of space and move with very slow velocities; a few remaining particles travel between the boundaries at much higher speeds. Such a state clearly violates equipartition of energy. The simplest hydrodynamic approach fails to give a correct description of the system.
  • The equations describing an electrically conducting medium with constant entropy, vanishing mean-charge
  • The equations describing an electrically conducting ((((((((Abstract unscannable)))))))))
  • In this paper we describe in full details a new family of recently found exact solutions of relativistic, perfect fluid dynamics. With an ansatz that generalizes the well-known Hwa-Bjorken solution we obtain a wide class of new exact, explicit, and simple solutions, which have a remarkable advantage as compared to presently known exact and explicit solutions: they do not lack acceleration. They can be utilized for the description of the evolution of the matter created in high energy heavy ion collisions. Because these solutions are accelerating, they provide a more realistic picture than the well-known Hwa-Bjorken solution, and give moremore » insight into the dynamics of the matter. We exploit this by giving an advanced simple estimation of the initial energy density of the produced matter in high energy collisions, which takes acceleration effects, i.e., the work done by the pressure, and the modified change of the volume elements, into account. We also give an advanced estimation of the life-time of the reaction. Our new solutions can also be used to test numerical hydrodynamical codes reliably. In the end, we also give an exact, 1+1 dimensional, relativistic hydrodynamical solution, where the initial pressure and velocity profile is arbitrary, and we show that this general solution is stable for perturbations.« less