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Zigzag transitions and nonequilibrium pattern formation in colloidal chains.

Arthur V Straube1, Roel P A Dullens, Lutz Schimansky-Geier

  • 1Department of Physics, Humboldt University of Berlin, Newtonstr. 15, D-12489 Berlin, Germany.

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|October 15, 2013
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Summary
This summary is machine-generated.

Colloidal particles in optical traps form zigzag patterns due to magnetic fields. Even when traps are removed, these nonequilibrium patterns exhibit zigzag symmetry, offering insights into particle interactions.

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Area of Science:

  • Soft matter physics
  • Colloidal science
  • Statistical mechanics

Background:

  • Paramagnetic colloidal particles in optical arrays can form ordered structures.
  • External magnetic fields can induce repulsive interparticle forces, altering particle arrangements.
  • Nonequilibrium dynamics of trapped particle systems are crucial for understanding pattern formation.

Purpose of the Study:

  • To investigate the formation of zigzag patterns in optically trapped colloidal particles under magnetic fields.
  • To analyze the symmetry of nonequilibrium expanding patterns after trap removal.
  • To understand the influence of trap anharmonicity and magnetic field strength on pattern stability.

Main Methods:

  • Theoretical modeling of optically trapped paramagnetic colloidal particles.
  • Normal mode analysis of particle chain configurations.
  • Analytical investigation of equilibrium and nonequilibrium states.

Main Results:

  • Repulsive magnetic interactions induce zigzag patterns in optically trapped particles.
  • Nonequilibrium expanding patterns exhibit zigzag symmetry even with weak magnetic fields.
  • Trap anharmonicity can destabilize the equilibrium zigzag state.
  • Increasing magnetic field alters longitudinal and transverse spring constants, leading to zigzag instability.

Conclusions:

  • The zigzag symmetry in nonequilibrium patterns arises from the instability of the linear configuration.
  • Analytical models provide insights into factors influencing pattern formation, including chain length and thermal fluctuations.
  • The study elucidates the interplay between confinement, interparticle forces, and dynamics in colloidal systems.