Energy conservation and H theorem for the Enskog-Vlasov equation

Benilov, E. S.; Benilov, M. S.

http://hdl.handle.net/10400.13/4567

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
Energy conservation and H theorem for the Enskog-Vlasov equation.pdf		519.82 KB	Adobe PDF	Download

Send Feedback

Authors

Benilov, E. S.

Benilov, M. S.

Abstract(s)

The Enskog-Vlasov (EV) equation is a widely used semiphenomenological model of gas-liquid phase transitions. We show that it does not generally conserve energy, although there exists a restriction on its coefficients for which it does. Furthermore, if an energy-preserving version of the EV equation satisfies an H theorem as well, it can be used to rigorously derive the so-called Maxwell construction which determines the parameters of liquid-vapor equilibria. Finally, we show that the EV model provides an accurate description of the thermodynamics of noble fluids, and there exists a version simple enough for use in applications.

Keywords

Energy conservation H theorem Enskog-Vlasov equation . Faculdade de Ciências Exatas e da Engenharia

URI

http://hdl.handle.net/10400.13/4567

Citation

Benilov, E. S., & Benilov, M. S. (2018). Energy conservation and H theorem for the Enskog-Vlasov equation. Physical Review E, 97(6), 062115. DOI: 10.1103/physreve.97.062115