Persistence exponents in a three-dimensional symmetric binary fluid mixture

Kendon, V. M. and Cates, M. E. and Desplat, J.-C. (2000) Persistence exponents in a three-dimensional symmetric binary fluid mixture. Physical Review E, 61 (4). 4029. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.61.4029)

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Abstract

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.

ORCID iDs

Kendon, V. M. ORCID logoORCID: https://orcid.org/0000-0002-6551-3056, Cates, M. E. and Desplat, J.-C.;
  • Item type:Article
    ID code:78853
    Dates:
    Date
    Event
    1 April 2000
    Published
    21 October 1999
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:09 Dec 2021 14:43
    Last modified:11 Nov 2024 13:19
    URI:https://strathprints.strath.ac.uk/id/eprint/78853
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