Self-Assembly of Magnetic Spheres in Strong Homogeneous Magnetic Field

Abstract

The self-assembly in two dimensions of spherical magnets in strong magnetic field is addressed theoretically. %% It is shown that the attraction and assembly of parallel magnetic chains is the result of a delicate interplay of dipole-dipole interactions and short ranged excluded volume correlations. %% Minimal energy structures are obtained by numerical optimization procedure as well as analytical considerations. For a small number of constitutive magnets $N_{\mathrm{tot}}\le 26$, a straight chain is found to be stable. In the regime of larger $N_{\mathrm{tot}}\ge 27$, the magnets form \textit{two touching} chains with equally long tails at both ends. We succeed to identify the transition from \textit{two} to \textit{three} touching chains at $N_{\mathrm{tot}}=129$.

References in corpus (1)

• Active dipole clusters: from helical motion to fission

Cited by in corpus (6)

• Membrane penetration and trapping of an active particle
• Ground state of dipolar hard spheres confined in channels
• Theory of active particle penetration through a planar elastic membrane
• Macroscopic equivalence for microscopic motion in a turbulence driven three-dimensional self-assembly reactor
• Assembly of nanocube super-structures directed by surface and magnetic interactions
• A Model for Multiple Metal Spheres in Oscillating Magnetic Fields using Displaced Dipoles