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Pattern formation and coarse-graining in two-dimensional colloids driven by multiaxial magnetic fields.

Kathrin Müller1, Natan Osterman, Dušan Babič

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We investigated superparamagnetic colloids and found that many-body effects create anisotropic interactions, leading to complex structures like chains and networks. A new model accurately describes these colloidal patterns.

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Area of Science:

  • Soft Matter Physics
  • Colloidal Science
  • Pattern Formation

Background:

  • Superparamagnetic colloids respond to magnetic fields, enabling controlled interactions.
  • Pairwise interactions can be tuned from repulsive to attractive by altering external field geometry.
  • Many-body effects become significant at intermediate field angles, complicating simple pairwise models.

Purpose of the Study:

  • To investigate pattern formation in a 2D superparamagnetic colloid system under a precessing magnetic field.
  • To understand the transition from ordered crystals to complex structures due to many-body effects.
  • To develop a theoretical model that accurately captures the observed colloidal structures.

Main Methods:

  • Experimental manipulation of superparamagnetic colloids using a precessing magnetic field.
  • Observation of colloidal structures at varying field opening angles.
  • Development of a coarse-grained model of a binary mixture (patchy/nonpatchy particles).
  • Optimization of model parameters using genetic algorithms and Monte Carlo simulations.

Main Results:

  • Hexagonal crystals formed at repulsive interactions (zero angle) and frothlike structures at attractive interactions (90°).
  • Intermediate angles led to anisotropic interactions and the formation of chains and networks.
  • The developed coarse-grained model quantitatively reproduced the experimentally observed sequence of structures.
  • The system could be efficiently described by a pairwise-additive Hamiltonian representing a binary mixture.

Conclusions:

  • Many-body depolarization effects induce anisotropy in colloidal systems, leading to complex pattern formation beyond simple pairwise additivity.
  • A coarse-grained binary mixture model effectively captures the behavior of the one-component colloidal system.
  • The findings provide new insights into anisotropic interactions and offer an efficient theoretical description for such systems.