Speed of sound in dense simple liquids
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908462011645952 |
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| author | Khrapak, Sergey |
| author_facet | Khrapak, Sergey |
| contents | The speed of sound of simple dense fluids is shown to exhibit a pronounced freezing temperature scaling of the form $c_{\rm s}/v_{\rm T}\simeq \sqrtγ +α(T_{\rm fr}/T)^β$, where $c_s$ is the speed of sound, $v_{\rm T}$ is the characteristic thermal velocity, $γ$ is the ideal gas heat capacity ratio, $T$ is the temperature, $T_{\rm fr}$ is the freezing temperature, and $α$ and $β$ are dimensionless parameters. For the Lennard-Jones fluid we get $γ=5/3$, $α\simeq 7$ with a weak temperature dependence, and $β= 1/3$. Similar scaling works in several real liquids, such as argon, krypton, xenon, nitrogen, and methane. In this case, $α$ and $β$ are substance-dependent fitting parameters. A comparison between the prediction of this freezing temperature scaling and a recent experimental measurement of the speed of sound in methane under conditions of planetary interiors is presented and discussed. The results provide a simple practical tool to estimate the speed of sound in regimes where no experimental data are yet available. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Speed of sound in dense simple liquids Khrapak, Sergey Soft Condensed Matter Statistical Mechanics Chemical Physics The speed of sound of simple dense fluids is shown to exhibit a pronounced freezing temperature scaling of the form $c_{\rm s}/v_{\rm T}\simeq \sqrtγ +α(T_{\rm fr}/T)^β$, where $c_s$ is the speed of sound, $v_{\rm T}$ is the characteristic thermal velocity, $γ$ is the ideal gas heat capacity ratio, $T$ is the temperature, $T_{\rm fr}$ is the freezing temperature, and $α$ and $β$ are dimensionless parameters. For the Lennard-Jones fluid we get $γ=5/3$, $α\simeq 7$ with a weak temperature dependence, and $β= 1/3$. Similar scaling works in several real liquids, such as argon, krypton, xenon, nitrogen, and methane. In this case, $α$ and $β$ are substance-dependent fitting parameters. A comparison between the prediction of this freezing temperature scaling and a recent experimental measurement of the speed of sound in methane under conditions of planetary interiors is presented and discussed. The results provide a simple practical tool to estimate the speed of sound in regimes where no experimental data are yet available. |
| title | Speed of sound in dense simple liquids |
| topic | Soft Condensed Matter Statistical Mechanics Chemical Physics |
| url | https://arxiv.org/abs/2507.16967 |