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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}
}