https://doi.org/10.1140/epjb/e2008-00436-x
First-principles and phenomenological theories of hydrodynamics of solids
1
Department of Physics, McGill University, 3600 University Street, Montréal, QC, H3A 2T8, Canada
2
Department of Mathematical and Life Sciences, Graduate School of Sciences, Hiroshima University, 1-3-1, Kagamiyama, Higashi-Hiroshima, 739-8526, Japan
Corresponding authors: a majaniem@physics.mcgill.ca - b nonomura@math.sci.hiroshima-u.ac.jp - c martin.grant@mcgill.ca
Received:
3
March
2008
Revised:
26
August
2008
Published online:
4
December
2008
The hydrodynamics of isothermal solids is studied via a nonlinear dynamic extension of classical density functional theory. Results are obtained for the diffusion coefficient, sound attenuation, sound speed, correlation functions, and other quantities. The domain of validity of phenomenological phase field models is examined and shown to be restricted to windows of particular length and time scales.
PACS: 61.50.Ah – Theory of crystal structure, crystal symmetry; calculations and modeling / 63.20.-e – Phonons in crystal lattices / 31.15.E- – Density-functional theory
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
