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Publication
The Enskog–Vlasov equation: a kinetic model describing gas, liquid, and solid
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Authors
Advisor(s)
Abstract(s)
The Enskog–Vlasov (EV) equation is a semi-empiric kinetic model
describing gas–liquid phase transitions. In the framework of the EV equation,
these correspond to an instability with respect to infinitely long perturbations,
developing in a gas state when the temperature drops below (or density rises
above) a certain threshold. In this paper, we show that the EV equation describes
one more instability, with respect to perturbations with a finite wavelength and
occurring at a higher density. This instability corresponds to fluid-solid phase
transition and the perturbations’ wavelength is essentially the characteristic
scale of the emerging crystal structure. Thus, even though the EV model does
not describe the fundamental physics of the solid state, it can ‘mimic’ it—and,
thus, be used in applications involving both evaporation and solidification of
liquids. Our results also predict to which extent a pure fluid can be overcooled
before it definitely turns into a solid.
Description
Keywords
Classical phase transitions Kinetic theory of gases and liquids . Faculdade de Ciências Exatas e da Engenharia
Citation
Benilov, E. S., & Benilov, M. S. (2019). The Enskog–Vlasov equation: a kinetic model describing gas, liquid, and solid. Journal of Statistical Mechanics: Theory and Experiment, 2019(10), 103205. DOI: 10.1088/1742-5468/ab3ccf
Publisher
IOP Publishing