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Structure factor scaling in colloidal phase separation.

Juan J Cerdà1, Tomás Sintes, C M Sorensen

  • 1Departament de Física and IMEDEA (CSIC-UIB), Universitat de les Illes Balears and Consejo Superior de Investigaciones Científicas, 07071 Palma de Mallorca, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
Summary
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Shallow quenches in colloidal systems show true dynamical scaling. Deep quenches exhibit fractal growth, deviating from simple scaling laws due to multiple length scales.

Area of Science:

  • Colloid Science
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Depletion interactions drive colloidal phase separation.
  • Dynamical scaling describes how systems evolve over time.
  • Understanding structure factor evolution is key to phase separation dynamics.

Purpose of the Study:

  • Investigate dynamical scaling in colloidal phase separation.
  • Differentiate scaling behavior between shallow and deep quenches.
  • Compare simulation results with theoretical predictions.

Main Methods:

  • Brownian dynamics simulations were employed.
  • Analysis focused on the structure factor, S(q).
  • System dynamics under varying quench depths were simulated.

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Main Results:

  • True dynamical scaling observed for shallow quenches into the coexistence region.
  • Compact clusters form and grow with a single characteristic length scale.
  • Deep quenches lead to fractal cluster growth with two evolving length scales, showing apparent scaling only transiently.

Conclusions:

  • Shallow quenches validate the dynamical scaling hypothesis for colloidal phase separation.
  • Deep quenches deviate from true dynamical scaling due to complex multi-length scale dynamics.
  • Simulation results align with theoretical models when accounting for distinct cluster and single-cluster structure factors.