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This distribution function is usually written as g(τ), see e.g. C.J.F. Böttcher, P. Bordewijk, Theory of Electric Polarization, vol. II, Elsevier, Amsterdam, 1978.
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0347030818
-
-
note
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This measure of heterogeneity relates to a specific functional form for intrinsic and macroscopic responses, but it is obvious that analogous definitions can be given for other forms.
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21
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0000853066
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J. Fourkas, D. Kivelson, U. Mohanty, K. Nelson (Eds.), ch. 12, ACS, Washington
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0347030816
-
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note
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p]〉 functions, see Ref. [4].
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25
-
-
0347030817
-
-
note
-
See also the results obtained for a polymer as discussed in Ref. [5].
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26
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0031508377
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Different measures of heterogeneity and homogeneity however also based on 3t-CFs were introduced by A. Heuer, S.C. Kuebler, U. Tracht, H.W. Spiess, Appl. Magn. Reson. 12 (1997) 183.
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0347030812
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-
note
-
Note that the heterogeneity of response functions is due to a distribution of dynamically distinguishable contributions, while e.g. in optical or NMR spectroscopy the inhomogeneous broadening is often due the presence of (static) molecular orientations or local configurations etc.
-
-
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31
-
-
0347030811
-
-
note
-
in = 1 can occur. However, via simulations in principle they can be taken into account, see Ref. [6].
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32
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0001098050
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and references cited therein
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and papers cited therein
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R.D. Mountain, in: J. Fourkas, D. Kivelson, U. Mohanty, K. Nelson (Eds.), Theoretical and Experimental Approaches to Supercooled Liquids: Advances and Novel Applications, ch. 9, ACS, Washington, 1997, p. 122.
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0347030809
-
-
note
-
Non-Gaussian propagators are well known when dealing with restricted diffusion, however in the present discussion we focus on overall spatially uniform systems.
-
-
-
-
42
-
-
0347030810
-
-
note
-
Of course also in systems describable by a single Fickian diffusion coefficient, different particles in a given time in general move across different distances which obviously is not the issue of concern here.
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44
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