### Abstract

Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field [Formula presented] when the system is segregated into two phases (at low temperatures) with a sharp interface between them. [Formula presented] satisfies the incompressible Navier-Stokes equations together with a jump boundary condition for the pressure across the interface which, in turn, moves with a velocity given by the normal component of [Formula presented]. Numerical simulations of the Vlasov-Boltzmann equations for shear flows parallel and perpendicular to the interface in a phase segregated mixture support this analysis. We expect similar behavior in real fluid mixtures.

Original language | English (US) |
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Journal | Physical review letters |

Volume | 89 |

Issue number | 23 |

DOIs | |

State | Published - Jan 1 2002 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cite this

*Physical review letters*,

*89*(23). https://doi.org/10.1103/PhysRevLett.89.235701