Grüneisen approach for universal scaling of the Brillouin shift in gases
Abstract A Grüneisen relationship is defined for gases, following the formulation of the original microscopic Grüneisen ratio γ = (d ln ω )/(d ln V ) for solids. In the case of gases acoustic excitations represent the modes at frequency ω to be considered. By comparing to measured Brillouin shifts...
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Published in | New journal of physics Vol. 24; no. 10; pp. 103005 - 103013 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Bristol
IOP Publishing
01.10.2022
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Subjects | |
Online Access | Get full text |
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Summary: | Abstract
A Grüneisen relationship is defined for gases, following the formulation of the original microscopic Grüneisen ratio
γ
= (d ln
ω
)/(d ln
V
) for solids. In the case of gases acoustic excitations represent the modes at frequency
ω
to be considered. By comparing to measured Brillouin shifts in various gases (SF
6
, N
2
O, and CO
2
) under various conditions of pressure and temperature, a specific value of the defined ratio
γ
0
= 0.064 ± 0.004 is found to provide a universal description of the active modes in a gas. This finding of such universal gas law may find application in extrapolation of properties of ideal gases to regimes where those cannot be measured easily, like the acoustics and shocks at extremely high temperatures. |
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Bibliography: | NJP-115010.R1 |
ISSN: | 1367-2630 1367-2630 |
DOI: | 10.1088/1367-2630/ac93a7 |