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Phonons in Yukawa lattices and liquids

Thomas Sullivan1, Gabor J Kalman1, Stamatios Kyrkos1,2, Pradip Bakshi1, Marlene Rosenberg3 and Zoltan Donko4

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The understanding of the theoretical structure of phonon dispersion in Yukawa lattices and the relationship between these perfect lattice phonons on the one hand, and the excitations in the disordered and liquid states on the other, is an important issue in analysing experimental and simulation results on plasma crystals. As the first step in this programme, we have numerically calculated the full phonon spectrum for 2D triangular Yukawa lattices, for a wide range of \bar{\kappa} (screening parameter) values and along different propagation angles. Earlier calculations of the excitation spectra of the 2D and 3D Yukawa liquids were based on the quasilocalized charge approximation (QLCA), whose implicit premise is that the spectrum of an average distribution (governed by the isotropic liquid pair correlation function) is a good representation of the actual spectrum. To see the implications of this model more clearly, we compare the high Γ (near crystallization) QLCA phonon spectra with the angle-averaged phonon spectra of the lattice phonons.


PACS

63.20.D- Phonon states and bands, normal modes, and phonon dispersion

52.27.Gr Strongly-coupled plasmas

52.65.Yy Molecular dynamics methods

52.27.Lw Dusty or complex plasmas; plasma crystals

MSC

82D10 Plasmas

Subjects

Plasma physics

Condensed matter: structural, mechanical & thermal

Dates

Issue 17 (28 April 2006)

Received 27 September 2005, in final form 19 December 2005

Published 7 April 2006



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