Travelling waves near a critical point of a binary fluid mixture

Henri Gouin (1) , Augusto Muracchini (2) , Tommaso Ruggeri (2)

1 IUSTI - Institut universitaire des systèmes thermiques industriels
2 CIRAM - Department of Mathematics and Research Center of Applied Mathematics

Travelling waves of densities of binary fluid mixtures are investigated near a critical point. The free energy is considered in a non-local form taking account of the density gradients. The equations of motions are applied to a universal form of the free energy near critical conditions and can be integrated by a rescaling process where the binary mixture is similar to a single fluid. Nevertheless, density solution profiles obtained are not necessarily monotonic. As indicated in Appendix, the results might be extended to other topics like finance or biology.

Mots clés: rescaling process; Binary fluid mixtures; critical points; travelling waves; rescaling process.

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Chimie-Physique [physics.chem-ph]; Matière Molle [cond-mat.soft]; Physique mathématique [math-ph]

Henri Gouin, Augusto Muracchini, Tommaso Ruggeri. Travelling waves near a critical point of a binary fluid mixture. International Journal of Non-Linear Mechanics, 2011, 47, pp.77-84. ⟨10.1016/j.ijnonlinmec.2011.09.016⟩. ⟨hal-00634703⟩