Persistence exponents in a three-dimensional symmetric binary fluid mixture

V. M. Kendon, M. E. Cates, J.-C. Desplat

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The persistence exponent, theta, is defined by N(F)similar to t(-theta), where t is the lime 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 similar to 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.
Original languageEnglish
Article number4029
Number of pages7
JournalPhysical Review E
Issue number4
Publication statusPublished - 1 Apr 2000


  • hydrodynamics
  • average domain size
  • binary fluid mixtures
  • binary fluid system
  • coarsening process
  • hydrodynamic regime
  • hydrodynamic transport
  • persistence exponents
  • power law decay
  • transport properties


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