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Current Problems in the Quasi-elastic Incoherent Neutron Scattering and the Collective Drift of Molecules

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Modern Problems of the Physics of Liquid Systems (PLMMP 2018)

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Abstract

The determination of the self-diffusion coefficient \( D_{\text{s}} \) is one of well known applications of the quasi-elastic incoherent neutron scattering. Here we will show that the half-width of the neutron peak considered as a function of wave vector can be used for the determination of (1) the residence time \( \tau_{0} \) for water molecules and (2) the very important ratio \( D_{\text{c}} /D_\text{s} \) where \( D_{\text{c}} \) is the collective part of the self-diffusion coefficient, caused by its drift in the field of thermal hydrodynamic fluctuations. The applicability region for the simplest diffusion approximation is discussed in details. The influence of the rotational motion of water molecules on spectra of the intermediate scattering function (ISF) is studied. A new type of the high-frequency asymptote for the ISF-spectra is predicted.

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Acknowledgements

We cordially thanks Professor S. Magazu, Professor G. G. Malenkov, Professor G. E. Norman, Dr. V. Yu. Bardik and V. Sokolov for fruitfull discussion of our results.

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Authors and Affiliations

  1. Department of Molecular Physics, Kyiv Taras Shevchenko National University, 2 Academic Glushkov Ave., Kyiv, 03680, Ukraine

    Leonid A. Bulavin

  2. Department of Theoretical Physics, Odessa I.I.Mechnikov National University, 2 Dvoryanskaja str., Odesa, 65026, Ukraine

    N. P. Malomuzh

  3. Department of Physics and Chemistry, National University “Odessa Maritime Academy”, 8 Didrikhson str., Odesa, 65043, Ukraine

    K. S. Shakun

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  1. Leonid A. Bulavin
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Correspondence to K. S. Shakun .

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  1. National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Leonid A. Bulavin

  2. International Center for Quantum Materials and School of Physics, Peking University, Beijing, China

    Limei Xu

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Bulavin, L.A., Malomuzh, N.P., Shakun, K.S. (2019). Current Problems in the Quasi-elastic Incoherent Neutron Scattering and the Collective Drift of Molecules. In: Bulavin, L., Xu, L. (eds) Modern Problems of the Physics of Liquid Systems. PLMMP 2018. Springer Proceedings in Physics, vol 223. Springer, Cham. https://doi.org/10.1007/978-3-030-21755-6_2

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