Phase diagram and aggregation dynamics of a monolayer of paramagnetic colloids

An T. Pham, Yuan Zhuang, Paige Detwiler, Joshua E. S. Socolar, Patrick Charbonneau, and Benjamin B. Yellen
Phys. Rev. E 95, 052607 – Published 12 May 2017
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Abstract

We have developed a tunable colloidal system and a corresponding theoretical model for studying the phase behavior of particles assembling under the influence of long-range magnetic interactions. A monolayer of paramagnetic particles is subjected to a spatially uniform magnetic field with a static perpendicular component and a rapidly rotating in-plane component. The sign and strength of the interactions vary with the tilt angle θ of the rotating magnetic field. For a purely in-plane field, θ=90, interactions are attractive and the experimental results agree well with both equilibrium and out-of-equilibrium predictions based on a two-body interaction model. For tilt angles 50θ55, the two-body interaction gives a short-range attractive and long-range repulsive interaction, which predicts the formation of equilibrium microphases. In experiments, however, a different type of assembly is observed. Inclusion of three-body (and higher-order) terms in the model does not resolve the discrepancy. We further characterize the anomalous regime by measuring the time-dependent cluster size distribution.

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  • Received 11 January 2017

DOI:https://doi.org/10.1103/PhysRevE.95.052607

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Polymers & Soft Matter

Authors & Affiliations

An T. Pham1,2, Yuan Zhuang1,3, Paige Detwiler4, Joshua E. S. Socolar1,5,*, Patrick Charbonneau1,3,5,†, and Benjamin B. Yellen1,2,4,‡

  • 1NSF Research Triangle Materials Research Science and Engineering Center, Duke University, Durham, North Carolina 27708, USA
  • 2Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
  • 3Department of Chemistry, Duke University, Durham, North Carolina 27708, USA
  • 4Department of Biomedical Engineering, Duke University, Durham, North Carolina 27708, USA
  • 5Department of Physics, Duke University, Durham, North Carolina 27708, USA

  • *Corresponding author: socolar@phy.duke.edu.
  • patrick.charbonneau@duke.edu
  • yellen@duke.edu

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Issue

Vol. 95, Iss. 5 — May 2017

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