Gases and Fluids

Barometric distribution of gas density obeying the Lorentz equation of state

A. E. Dubinov<sup>ab

a</sup> Federal State Unitary Enterprise "Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics", Sarov, Nizhny Novgorod region
^b Sarov State Institute of Physics and Technology

Abstract: An exact explicit barometric formula is obtained for a non-ideal gas obeying the Lorentz equation of state. The formula describes the density distribution of such a gas in a homogeneous gravitational field. The formula can be useful, for example, when testing codes of molecular dynamics. An example of the application of the formula in deriving the Einstein–Smoluchowski-type relation for a gas with the Lorentz equation of state in a gravitational field is given.

Keywords: non-ideal gas, gravitational field, barometric formula, Lorentz equation of state.

Received: 03.12.2024
Revised: 11.02.2025
Accepted: 11.02.2025

DOI: 10.61011/JTF.2025.06.60459.435-24

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