Persistence exponents in a three-dimensional symmetric binary fluid mixture
The persistence exponent, straight theta, is defined by N(F) approximately t(-straight 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 straight theta somewhat dependent on the domain growth rate (L approximately t(alpha), where L is the average domain size), in the range straight theta=1.23+/-0.1 (alpha=2/3) to straight theta=1.37+/-0.2 (alpha=1). These alpha values correspond to the inertial and viscous hydrodynamic regimes, respectively.
Kendon
VM
Department of Physics and Astronomy, JCMB King's Buildings, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom.
Cates
ME
Desplat
JC