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 (SF6, N2O, and CO2) 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.
Original language | English |
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Article number | 103005 |
Pages (from-to) | 1-9 |
Number of pages | 9 |
Journal | New Journal of Physics |
Volume | 24 |
Issue number | 10 |
Early online date | 7 Oct 2022 |
DOIs | |
Publication status | Published - Oct 2022 |
Bibliographical note
Funding Information:This work was supported by the Natural Science Foundation of China under Grant No. 62175072, and the Open Project of State Key Laboratory of Low-Dimensional Quantum Physics (Grant No. KF202008). YW thanks the Chinese Scholarship Council for support for his stay at VU Amsterdam, and VUA for their hospitality as well as the support from International Postdoctoral Exchange Fellowship Program (Talent-Introduction Program).
Publisher Copyright:
© 2022 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.
Keywords
- acoustic wave
- Brillouin shift
- Grüneisen parameter
- Rayleigh-Brillouin scattering spectrum