Molecular velocity auto-correlation of simple liquids observed by NMR MGSE method
Janez Stepišnik (),
Carlos Mattea,
Siegfried Stapf and
Aleš Mohorič
Additional contact information
Janez Stepišnik: Faculty of Mathematics and Physics, University of Ljubljana
Carlos Mattea: Ilmenau University of Technology
Siegfried Stapf: Ilmenau University of Technology
Aleš Mohorič: Faculty of Mathematics and Physics, University of Ljubljana
The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 11, 1-9
Abstract:
Abstract The velocity auto-correlation spectra of simple liquids obtained by the NMR method of modulated gradient spin echo show features in the low frequency range up to a few kHz, which can be explained reasonably well by a t−3∕2 long-time tail decay only for non-polar liquid toluene, while the spectra of polar liquids, such as ethanol, water and glycerol, are more congruent with the model of diffusion of particles temporarily trapped in potential wells created by their neighbors. As the method provides the spectrum averaged over ensemble of particle trajectories, the initial non-exponential decay of spin echoes is attributed to a spatial heterogeneity of molecular motion in a bulk of liquid, reflected in distribution of the echo decays for short spin trajectories. While at longer time intervals, and thus with longer trajectories, heterogeneity is averaged out, giving rise to a spectrum which is explained as a combination of molecular self-diffusion and eddy diffusion within the vortexes of hydrodynamic fluctuations.
Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1140/epjb/e2018-90284-4
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