Barometric distribution of gas density obeying the Lorentz equation of state
Dubinov A. E. 1,2
1Federal State Unitary Enterprise "Russian Federal Nuclear Center - All-Russian Research Institute of Experimental Physics", Sarov, Nizhny Novgorod Region, Russia
2Sarov Physical and Technical Institute – branch of National Research Nuclear University “Moscow Engineering Physics Institute”, Sarov, Nizhny Novgorod region, Russia
Email: dubinov-ae@yandex.ru

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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.
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