Crossover from the hydrodynamic regime to the thermal fluctuation regime in a two-dimensional phase-separating binary fluid containing surfactants

Jiunn-Ren Roan and Chin-Kun Hu
Phys. Rev. E 62, 766 – Published 1 July 2000
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Abstract

Extensive simulations were carried out to investigate the crossover between the hydrodynamic regime at intermediate stage and the thermal fluctuation regime at late stage in a phase-separating binary fluid/surfactant system in two dimensions. The existence of the crossover and its dependence on the surfactant concentration were analyzed using Kawasaki and Ohta’s interface kinetic equation [Physica A 118, 175 (1983)]. The analysis showed that there should exist a critical surfactant concentration, above which thermal fluctuations dominate phase separation at all times. Simulations suggested that the crossover exists and the hydrodynamic regime shrinks when surfactant concentration increases. Simulations also demonstrated that the trapped surfactants seen in a previous study [Phys. Rev. E 59, 2109 (1999)] can remain trapped for a time much longer than the time needed to form well segregated domains, in spite of the presence of significant thermal fluctuations.

  • Received 10 September 1999

DOI:https://doi.org/10.1103/PhysRevE.62.766

©2000 American Physical Society

Authors & Affiliations

Jiunn-Ren Roan* and Chin-Kun Hu

  • Institute of Physics, Academia Sinica, Nankang, Taipei 115, Taiwan

  • *Present address: Doi Project, Nagoya University, Research & Education Center 1-4F, Furo-cho, Chikusa-ku, Nagoya, 464-8601, Japan. Electronic address: roan@post.harvard.edu
  • Electronic address: huck@phys.sinica.edu.tw

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Vol. 62, Iss. 1 — July 2000

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