Phase separation in a chaotic flow

Details Phase separation in a chaotic flow Phase separation in a chaotic flow

2000-10-17

arxiv.org/abs/cond-mat/0010236v2

Phys. Rev. Lett. 86, 2014 (2001)

Physics

Condensed Matter

Statistical Mechanics

Minor changes - Version accepted for publication - Physical Review Letters

Scientific paper

10.1103/PhysRevLett.86.2014

The phase separation between two immiscible liquids advected by a bidimensional velocity field is investigated numerically by solving the corresponding Cahn-Hilliard equation. We study how the spinodal decomposition process depends on the presence -or absence- of Lagrangian chaos. A fully chaotic flow, in particular, limits the growth of domains and for unequal volume fractions of the liquids, a characteristic exponential distribution of droplet sizes is obtained. The limiting domain size results from a balance between chaotic mixing and spinodal decomposition, measured in terms of Lyapunov exponent and diffusivity constant, respectively.

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