Persistence exponents in a threedimensional symmetric binary fluid mixture
Kendon, V. M. and Cates, M. E. and Desplat, J.C. (2000) Persistence exponents in a threedimensional symmetric binary fluid mixture. Physical Review E, 61 (4). 4029. ISSN 24700053 (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 "noflip 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 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.


Item type: Article ID code: 78853 Dates: DateEvent1 April 2000Published21 October 1999AcceptedSubjects: Science > Physics Department: Faculty of Science > Physics Depositing user: Pure Administrator Date deposited: 09 Dec 2021 14:43 Last modified: 20 May 2024 01:37 URI: https://strathprints.strath.ac.uk/id/eprint/78853