3D Spinodal Decomposition in the Inertial Regime

Details 3D Spinodal Decomposition in the Inertial Regime 3D Spinodal Decomposition in the Inertial Regime

1999-02-25

arxiv.org/abs/cond-mat/9902346v2

Phys. Rev. Lett. 83, 576 (1999)

Physics

Condensed Matter

4 pages, 3 eps figures, RevTex, minor changes to bring in line with published version. Mobility values added to Table I

Scientific paper

10.1103/PhysRevLett.83.576

We simulate late-stage coarsening of a 3D symmetric binary fluid using a lattice Boltzmann method. With reduced lengths and times l and t respectively (scales set by viscosity, density and surface tension) our data sets cover 1 < l < 10^5, 10 < t < 10^8. We achieve Reynolds numbers approaching 350. At Re > 100 we find clear evidence of Furukawa's inertial scaling (l ~ t^{2/3}), although the crossover from the viscous regime (l ~ t) is very broad. Though it cannot be ruled out, we find no indication that Re is self-limiting (l ~ t^{1/2}) as proposed by M. Grant and K. R. Elder [Phys. Rev. Lett. 82, 14 (1999)].

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