1999/10/21 by Viv Kendon, V. M. Kendon, M. E. Cates +2
Engineering · Mathematics · Physics and Astronomy · #Lattice Boltzmann Simulation Studies #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physreve.61.4029
published as Phys. Rev. E 61(4) 4029 (2000) · 9 pages RevTex, 9 figures included as eps files on last 3 pages, submitted to Phys Rev E
arxiv created 1999/10/21 · openalex publication_date 2000/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The persistence exponent, \ensuremathθ, is defined by NF\ensuremath∼t^\ensuremath-\ensuremathθ, where t is the time since the start of the coarsening process and the ``no-flip fraction,'' NF, 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 NF follows a power law decay (as opposed to exponential) with the value of \ensuremathθ somewhat dependent on the domain growth rate (L\ensuremath∼t^\ensuremathα, where L is the average domain size), in the range \ensuremathθ=1.23\ifmmode±\else\textpm\fi0.1 (\ensuremathα=2/3) to \ensuremathθ=1.37\ifmmode±\else\textpm\fi0.2 (\ensuremathα=1). These \ensuremathα values correspond to the inertial and viscous hydrodynamic regimes, respectively.