Persistence exponents in a three-dimensional symmetric binary fluid mixture

The persistence exponent, [Formula Presented] is defined by [Formula Presented] where t is the time since the start of the coarsening process and the “no-flip fraction,” [Formula Presented] is the number of points that have not seen a change of “color” since [Formula Presented] Here we investigate numerically the persistence exponent for a binary fluid system where the coarsening is dominated by hydrodynamic transport. We find that [Formula Presented] follows a power law decay (as opposed to exponential) with the value of [Formula Presented] somewhat dependent on the domain growth rate [Formula Presented] where L is the average domain size), in the range [Formula Presented] [Formula Presented] to [Formula Presented] [Formula Presented] These [Formula Presented] values correspond to the inertial and viscous hydrodynamic regimes, respectively.