S. Mazumder, R. Loidl, H. Rauch:
"Dynamical scaling of the structure factor for mesoscopic structures with non-Euclidean fractal morphology";
Physical Review B,
mesoscopic structures in non-Euclidean geometry, the real-time evolution of mesoscopic structures of light and
heavy water hydrated calcium sulphates has been investigated. Unlike the case for hydration of silicates,
hydration of sulphates with light and heavy water does not have distinct characteristic as far as the agreement
with the dynamical scaling hypothesis is concerned. There is no change of the topographical mesoscopic
structure for hydrating sulphates, unlike silicates, with light and heavy water. Real-time scattering measurements
on hydration of sulphates are incomprehensible in the light of observed S. Mazumder et al., Phys. Rev.
Lett. 93, 255704 2004 ; Phys. Rev. B. 72, 224208 2005 results on hydration of silicates. This reports a
disagreement with the hypothesis of dynamical scaling of the structure factor of a non-Euclidean system,
maintaining same topographical morphology during temporal evolution of the structure. The present investigation,
on dynamics of water in different geometric confinements, is also indicative of the fact that the
diffusion in non-Euclidean geometry is far from comprehensible.
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