Hydrodynamic crystals: collective dynamics of regular arrays of spherical particles in a parallel-wall channel

Details Hydrodynamic crystals: collective dynamics of regular arrays of spherical particles in a parallel-wall channel Hydrodynamic crystals: collective dynamics of regular arrays of spherical particles in a parallel-wall channel

2007-08-20

arxiv.org/abs/0708.2688v3

Phys. Rev. Lett. 100, Art. No .174502 (2008)

Physics

Condensed Matter

Soft Condensed Matter

4 pages 6 figures

Scientific paper

10.1103/PhysRevLett.100.174502

Simulations of over $10^3$ hydrodynamically coupled solid spheres are performed to investigate collective motion of linear trains and regular square arrays of particles suspended in a fluid bounded by two parallel walls. Our novel accelerated Stokesian-dynamics algorithm relies on simplifications associated with the Hele--Shaw asymptotic far-field form of the flow scattered by the particles. The simulations reveal propagation of particle-displacement waves, deformation and rearrangements of a particle lattice, propagation of dislocation defects in ordered arrays, and long-lasting coexistence of ordered and disordered regions.

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