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@ARTICLE{Gommes:894027,
author = {Gommes, Cedric and Zorn, Reiner and Jaksch, Sebastian and
Frielinghaus, Henrich and Holderer, Olaf},
title = {{I}nelastic neutron scattering analysis with time-dependent
{G}aussian-field models},
journal = {The journal of chemical physics},
volume = {155},
number = {2},
issn = {1089-7690},
address = {Melville, NY},
publisher = {American Institute of Physics},
reportid = {FZJ-2021-02993},
pages = {024121 -},
year = {2021},
abstract = {Converting neutron scattering data to real-space
time-dependent structures can only be achieved through
suitable models, which is particularly challenging for
geometrically disordered structures. We address this problem
by introducing time-dependent clipped Gaussian field models.
General expressions are derived for all space- and
time-correlation functions relevant to coherent inelastic
neutron scattering for multiphase systems and arbitrary
scattering contrasts. Various dynamic models are introduced
that enable one to add time-dependence to any given spatial
statistics, as captured, e.g., by small-angle scattering. In
a first approach, the Gaussian field is decomposed into
localized waves that are allowed to fluctuate in time or to
move either ballistically or diffusively. In a second
approach, a dispersion relation is used to make the spectral
components of the field time-dependent. The various models
lead to qualitatively different dynamics, which can be
discriminated by neutron scattering. The methods of this
paper are illustrated with oil/water microemulsion studied
by small-angle scattering and neutron spin-echo. All
available data—in both film and bulk contrasts, over the
entire range of q and τ—are analyzed jointly with a
single model. The analysis points to the static large-scale
structure of the oil and water domains while the interfaces
are subject to thermal fluctuations. The fluctuations have
an amplitude of around 60 Å and contribute to $30\%$ of the
total interface area},
cin = {JCNS-FRM-II / JCNS-1 / JCNS-4 / MLZ},
ddc = {530},
cid = {I:(DE-Juel1)JCNS-FRM-II-20110218 /
I:(DE-Juel1)JCNS-1-20110106 / I:(DE-Juel1)JCNS-4-20201012 /
I:(DE-588b)4597118-3},
pnm = {6G4 - Jülich Centre for Neutron Research (JCNS) (FZJ)
(POF4-6G4) / 632 - Materials – Quantum, Complex and
Functional Materials (POF4-632)},
pid = {G:(DE-HGF)POF4-6G4 / G:(DE-HGF)POF4-632},
experiment = {EXP:(DE-MLZ)KWS2-20140101},
typ = {PUB:(DE-HGF)16},
pubmed = {34266279},
UT = {WOS:000692373500006},
doi = {10.1063/5.0053446},
url = {https://juser.fz-juelich.de/record/894027},
}