Abstract
An Introduction to the description of the static structure of simple liquids is given. The principle quantity, which describes this structure is the structure factor, which can be measured with neutron and X-ray diffraction. The structure factor is the Fourier transform of the radial pair distribution function, which describes the statistics of the atoms around a given one. Several theories are introduced for calculating this quantities. It is shown that the structure of liquid metals is dominated by their hardcore repulsion. In the low-wavenumber limit the structure factor is related to the compressibility of the liquid. In this limit deviations from the hard-core model become importent, which can be described by a perturbative random-phase approximation (RPA).
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Notes
- 1.
β = 1∕k B T.
References
Ashcroft, N.W., Lekner, J.: Phys. Rev. 145, 83 (1966)
Evans, R., Schirmacher, W.: J. Phys. C Solid State Phys. 11, 2437 (1978)
Hansen, J.-P., McDonald, I.: Theory of Simple Liquids. Academic, New York (1986)
Lee, G.W., Gangopadhyay, A.K., Kelton, K.F., Hyers, R.W., Rathz, T.J., Rogers, J.R., Robinson, D.S.: Phys. Rev. Lett. 93, 37802 (2004)
Mott, N.F., Davis, E.A.: Electronic Processes in Non-crystalline Materials. Clarendon, Oxford (1971)
Nozières, P., Pines, D.: Theory of Quantum Liquids. Benjamin, New York (1965)
Scopigno, T., Ruocco, G., Sette, F.: Rev. Mod. Phys. 77, 881 (2005)
Song, C., Wang, P., Makse, H.A.: Nature 453, 629 (2008)
Weeks, J.D., Chandler, D., Andersen, H.C.: J. Chem. Phys. 54, 5237 (1971)
Edwards, S.: Philos. Mag. 3, 1020 (1958)
Ziman, J. M.: Philos. Mag. 6, 1013 (1961)
Ziman, J. M. and Faber, T. E.: Philos. Mag. 11, 153 (1965)
Ziman, J. M.: Adv. Phys. 16, 551 (1967)
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Schirmacher, W. (2015). Structure of Liquids. In: Theory of Liquids and Other Disordered Media. Lecture Notes in Physics, vol 887. Springer, Cham. https://doi.org/10.1007/978-3-319-06950-0_2
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DOI: https://doi.org/10.1007/978-3-319-06950-0_2
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