title: Persistence exponents in a three-dimensional symmetric binary fluid mixture
abstract: 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.
authors.affiliation: Department of Physics and Astronomy, JCMB King's Buildings, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom.
authors.initials: VM
authors.lastname: Kendon
authors.initials: ME
authors.lastname: Cates
authors.initials: JC
authors.lastname: Desplat