Cutoff wave number for shear waves and Maxwell relaxation time in Yukawa liquids

J. Goree, Z. Donkó, P. Hartmann

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Because liquids cannot resist shear except over very short distances comparable to the atomic spacing, shear sound waves (i.e., transverse phonons) propagate only for very short wavelengths. A measure of this limit is the cutoff wave number k c, which is sometimes called the critical wave number. Previously k c was determined in molecular dynamics (MD) simulations by obtaining the dispersion relation. Another approach is developed in this paper by identifying the wave number at the onset of a negative peak in the transverse current correlation function. This method is demonstrated using a three-dimensional MD simulation of a Yukawa fluid, which mimics dusty plasmas. In general, k c is an indicator of conditions where elastic and dissipative effects are approximately balanced. Additionally, the crossover frequency for the real and imaginary terms of the complex viscosity of a dusty plasma is obtained; this crossover frequency corresponds to the Maxwell relaxation time.

Original languageEnglish
Article number066401
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number6
DOIs
Publication statusPublished - Jun 11 2012

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Relaxation Time
S waves
cut-off
relaxation time
dusty plasmas
Liquid
crossovers
liquids
Molecular Dynamics Simulation
molecular dynamics
shear
Crossover
Transverse
Plasma
sound waves
Phonons
phonons
Dispersion Relation
simulation
spacing

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Cutoff wave number for shear waves and Maxwell relaxation time in Yukawa liquids. / Goree, J.; Donkó, Z.; Hartmann, P.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 85, No. 6, 066401, 11.06.2012.

Research output: Contribution to journalArticle

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