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A parallel algorithm for implicit depletant simulations.

Jens Glaser1, Andrew S Karas1, Sharon C Glotzer1

  • 1Department of Chemical Engineering, University of Michigan, 2800 Plymouth Rd., Ann Arbor, Michigan 48109, USA.

The Journal of Chemical Physics
|November 17, 2015
PubMed
Summary
This summary is machine-generated.

We developed a faster simulation algorithm for anisotropic colloids and depletants. This method reveals new cluster phases and ordered lattices, enabling fluid-solid transition studies.

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Area of Science:

  • Colloid Science
  • Computational Physics
  • Materials Science

Background:

  • Simulating many-body depletion interactions in colloidal systems is computationally intensive.
  • Existing methods often struggle with efficiency when tracking depletant particles explicitly.

Purpose of the Study:

  • To present an efficient algorithm for simulating many-body depletion interactions between anisotropic colloids.
  • To enable the study of emergent cluster phases and fluid-solid transitions in colloidal systems.

Main Methods:

  • An implicit algorithm that integrates out depletant degrees of freedom, treating them as an ideal gas.
  • Parallel random insertion of depletants into the excluded volume of colloids, enhanced by configurational bias.
  • Validation and benchmarking on multi-core processors and GPUs for various colloid shapes (spheres, hemispheres, discoids).

Main Results:

  • Demonstrated significant speedup compared to explicit depletant tracking methods for colloid packing fractions below 0.50.
  • Observed novel cluster phases where hemispheres self-assemble into spheres, subsequently forming ordered hexagonal close-packed (hcp) and face-centered cubic (fcc) lattices.
  • Successfully enabled the simulation of the fluid-solid transition in colloidal systems.

Conclusions:

  • The developed implicit algorithm offers a computationally efficient approach for simulating complex colloidal systems with depletion interactions.
  • The method facilitates the discovery of new self-assembly pathways and phase behaviors, including ordered lattice formation.
  • This work provides a powerful tool for exploring phase transitions and emergent structures in soft matter systems.