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| journal = [[Annalen der Physik und Chemie]]
| volume = 91
| issue = 1
| pages = 56–82, 179–213
| url = http://gallica.bnf.fr/ark:/12148/bpt6k15176w.pagination
| bibcode = 1854AnP...167...56K
}}.</ref>
thus it is also known as the '''Kohlrausch function'''. In 1970, G. Williams and D.C. Watts used the [[Fourier transform]] of the stretched exponential to describe [[dielectric spectroscopy|dielectric spectra]] of polymers;<ref>{{cite journal
|author1=Williams, G. |author2=Watts, D. C.
|lastauthoramp=yes | year = 1970
| title = Non-Symmetrical Dielectric Relaxation Behavior Arising from a Simple Empirical Decay Function
| journal = Transactions of the
| volume = 66
| pages = 80–85
Line 40 ⟶ 43:
| journal = Phys. Rev. B
| volume = 37
| issue = 7
| pages = 3716–3719
| year = 1988
Line 48 ⟶ 52:
| journal = The Journal of Chemical Physics
| volume = 63
|
| pages = 5445–5458
| year = 1975
| title = Dielectric relaxation and dynamic susceptibility of a one-dimensional model for perpendicular-dipole polymers
|doi = 10.1063/1.431279
}}</ref>
<ref>{{cite journal
| author = Brey, J. J. and Prados, A.
| journal = Physica A
| volume = 197
|
| pages = 569–582
| year = 1993
| title = Stretched exponential decay at intermediate times in the one-dimentional Ising model at low temperatures
|doi = 10.1016/0378-4371(93)90015-V
}}</ref>
it can be shown that the asymptotic decay is a stretched exponential, but the prefactor is usually an unrelated power.
Line 96 ⟶ 104:
| journal = [[Journal of Chemical Physics]]
| volume = 73
|issue=7
| pages = 3348–3357
| doi = 10.1063/1.440530|bibcode = 1980JChPh..73.3348L }}.
Line 104 ⟶ 113:
| journal = [[Chemical Physics]]
| volume = 315
| issue = 1–2
| pages = 171–182
| doi = 10.1016/j.chemphys.2005.04.006
Line 141 ⟶ 151:
| journal = [[Journal of Chemical Physics]]
| volume = 116
| issue = 8
| pages = 3204–3209
|bibcode = 2002JChPh.116.3204Z | url = http://juser.fz-juelich.de/record/1954/files/10418.pdf
Line 151 ⟶ 162:
| year = 2002
| title = ''H''-function representations for stretched exponential relaxation and non-Debye susceptibilities in glassy systems
| journal =
| volume = 65
| issue = 6
| pages = 061510
| doi=10.1103/physreve.65.061510
| bibcode = 2002PhRvE..65f1510H
| url = https://semanticscholar.org/paper/05653287a5f7e7408582d81b63c5be2594c17512
}}</ref> For practical purposes, the Fourier transform may be approximated by the [[Havriliak–Negami relaxation|Havriliak–Negami function]],<ref>{{cite journal
| author = Alvarez, F., Alegría, A. and Colmenero, J.
| year = 1991
| title = Relationship between the time-___domain Kohlrausch-Williams-Watts and frequency-___domain Havriliak-Negami relaxation functions
| journal =
| volume = 44
| issue = 14
| pages = 7306–7312
| doi = 10.1103/PhysRevB.44.7306
| pmid = 9998642
|bibcode = 1991PhRvB..44.7306A }}</ref>
though nowadays the numeric computation can be done so efficiently<ref>{{cite journal
Line 171 ⟶ 186:
|journal = [[Algorithms (journal)|Algorithms]]
| volume = 5
| issue = 4
| pages = 604–628
| doi = 10.3390/a5040604| arxiv = 0911.4796
Line 185 ⟶ 201:
| journal = [[Icarus (journal)|Icarus]]
| volume = 188
| issue = 2
| pages = 481–505
| doi = 10.1016/j.icarus.2006.11.024|bibcode = 2007Icar..188..481D }}</ref> the diffusion-weighted MRI signal in the brain,<ref>{{cite journal
Line 192 ⟶ 209:
| volume = 50
| pages = 727–734
| doi = 10.1002/mrm.10581|display-authors=etal}}</ref> and the production from unconventional gas wells.<ref>{{Cite journal|last=Valko|first=Peter P.|last2=Lee|first2=W. John|date=2010-01-01|title=A Better Way To Forecast Production From Unconventional Gas Wells
=== In probability, ===
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| volume = 10
| pages = 65–71
| doi = 10.1007/s10522-008-9156-4|pmid=18560989
}}</ref> <ref>
{{cite journal
| |||