Abstract
The dynamics of liquids is discussed with the help of time-dependent correlation functions. They are related to response functions by the fluctuation-dissipation theorem. This theorem enables to relate experimentally measured inelastic scattering data to the Fourier-transformed correlation and response functions. The Laplace transform of the correlation functions can be represented as a continuous fraction with suitable residual terms (memory functions). The projection formalism of Mori and Zwanzig is introduced.
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Notes
- 1.
As a liquid is isotropic its spatial correlations depend only on the modulus q = | q | of the momentum.
- 2.
See next section.
- 3.
For showing this we need formula (B.7) of the Appendix.
References
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Schirmacher, W. (2015). Time-Dependent Correlation and Response Functions. 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_7
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DOI: https://doi.org/10.1007/978-3-319-06950-0_7
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