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Exponential integral
(section)
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== Applications == * Time-dependent [[heat transfer]] * Nonequilibrium [[groundwater]] flow in the [[Aquifer test#Transient Theis solution|Theis solution]] (called a ''well function'') * Radiative transfer in stellar and planetary atmospheres * Radial diffusivity equation for transient or unsteady state flow with line sources and sinks * Solutions to the [[neutron transport]] equation in simplified 1-D geometries<ref>{{cite book|title=Nuclear Reactor Theory|year=1970|publisher=Van Nostrand Reinhold Company|author=George I. Bell|author2=Samuel Glasstone}}</ref> * Solutions to the [[Trachenko-Zaccone]] [[List of nonlinear ordinary differential equations|nonlinear differential equation]] for the [[stretched exponential function]] in the relaxation of [[amorphous solids]] and [[glass transition]]<ref>{{Cite journal |last1=Trachenko |first1=K. |last2=Zaccone |first2=A.|date=2021-06-14 |title=Slow stretched-exponential and fast compressed-exponential relaxation from local event dynamics |url=https://iopscience.iop.org/article/10.1088/1361-648X/ac04cd |journal=Journal of Physics: Condensed Matter |language=en |volume=33 |issue= |pages=315101 |doi= 10.1088/1361-648X/ac04cd|bibcode= |issn=0953-8984|arxiv=2010.10440 }}</ref><ref>{{Cite journal |last1=Ginzburg |first1=V. V.| last2=Gendelman | first2= O. V.| last3=Zaccone |first3=A.|date=2024-02-23 |title=Unifying Physical Framework for Stretched-Exponential, Compressed-Exponential, and Logarithmic Relaxation Phenomena in Glassy Polymers|url=https://pubs.acs.org/doi/full/10.1021/acs.macromol.3c02480 |journal=Macromolecules |language=en |volume=57 |issue= 5|pages=2520β2529 |doi= 10.1021/acs.macromol.3c02480|bibcode= |issn=0024-9297|arxiv=2311.09321 }}</ref>
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