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Collective modes, damping, and the scattering function in classical liquids

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Abstract

An exact representation for the density-density response function is presented. This representation is a generalization of the result obtained in the mean field approximation and amounts to replacing the static, effective potential by one which is both wavenumber- and frequency-dependent. This potential possesses both a real and an imaginary part; the latter describes the collisional damping of collective modes. Analyticity and sum rule arguments are used to describe the basic properties of this complex potential. The formalism allows us to write an exact formula for the scattering functionS(k, ω) in which the basic unknown is the collisional damping function. Using a small portion of the recent experimental data on coherent neutron scattering in liquid argon, we are able to calculateS(k, ω) and other quantities of interest and to make comparisons with the rest of the data.

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Authors and Affiliations

  1. Institut Max von Laue-Paul Langevin, Grenoble, France

    Alfred A. Kugler

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  1. Alfred A. Kugler
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Kugler, A.A. Collective modes, damping, and the scattering function in classical liquids. J Stat Phys 8, 107–153 (1973). https://doi.org/10.1007/BF01008535

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