Theory of collective excitations in simple liquids
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We present a parameter-free theory of the collective excitations in simple liquids such as liquid metals or rare gases. The theory is based on the mode-coupling theory (MCT), which has been previously applied successfully for explaining the liquid-to glass transition. The only input is the liquid structure factor. We achieve good agreement both for the liquid dispersion (maximum of the longitudinal current spectrum) and width (damping) with experimental findings. The time-dependent memory function predicted by MCT has a two-step exponential decay as previously found in computer simulations. Furthermore MCT predicts a scaling of the liquid dispersion with the effective hard-sphere diameter of the materials. This scaling is obeyed by the available experimental data.
KeywordsLiquid Metal European Physical Journal Special Topic Memory Function Hard Sphere Packing Fraction
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- 1.S. Chapman, T. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge Univ. Press, Cambridge, 1952)Google Scholar
- 3.J.P. Boon, S. Yip, Molecular Hydrodynamics (McGraw Hill, New York, 1980)Google Scholar
- 4.J.P. Hansen, I.R. McDonald, Theory of Simple Liquids (Academic Press, Amsterdam, 1986)Google Scholar
- 5.P.A. Egelstaff, An Introduction to the Liquid State (Clarendon Press, Oxford, 1994)Google Scholar
- 7.D. Forster, Hydrodynmics, Broken Symmetry and Correlation Func (Benjamin, Reading, Mass, 1975)Google Scholar
- 9.W. Götze, M. Lücke, Phys. Rev. A 13, 3822 (1976)Google Scholar
- 10.W. Götze, M. Lücke, Phys. Rev. A 13, 3825 (1976)Google Scholar
- 17.W. PGötze, in Liquids, Freezing and the Glass transition, edited by J.P. Hansen, D. Levesque, J. Zinn-Justin (North-Holland, Amsterdam, 1991)Google Scholar
- 18.W. Götze, Complex Dynamics of Glass-Forming Liquids (Oxford University Press, Oxford, 2010)Google Scholar
- 20.W. Schirmacher, H. Sinn, Cond. Matter Phys. 11, 127 (2008)Google Scholar
- 31.A. Rahman, Neutron Inelastic Scattering (Int. Atomic Energy Agency, Vienna, 1968)Google Scholar