Persistence exponents in a 3D symmetric binary fluid mixture

Details Persistence exponents in a 3D symmetric binary fluid mixture Persistence exponents in a 3D symmetric binary fluid mixture

1999-10-21

arxiv.org/abs/cond-mat/9910339v1

Phys. Rev. E 61(4) 4029 (2000)

Physics

Condensed Matter

9 pages RevTex, 9 figures included as eps files on last 3 pages, submitted to Phys Rev E

Scientific paper

10.1103/PhysRevE.61.4029

The persistence exponent, theta, is defined by N_F sim t^theta, where t is the time since the start of the coarsening process and the "no-flip fraction", N_F, is the number of points that have not seen a change of "color" since t=0. Here we investigate numerically the persistence exponent for a binary fluid system where the coarsening is dominated by hydrodynamic transport. We find that N_F follows a power law decay (as opposed to exponential) with the value of theta somewhat dependent on the domain growth rate (L sim t^alpha, where L is the average domain size), in the range theta=1.23 +-0.1 (alpha = 2/3) to theta=1.37 +-0.2 (alpha=1). These alpha values correspond to the inertial and viscous hydrodynamic regimes respectively.

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