Buckling of elastic filaments by discrete magnetic moments

@article{Boltz2017BucklingOE,
  title={Buckling of elastic filaments by discrete magnetic moments},
  author={Horst-Holger Boltz and Stefan Klumpp},
  journal={The European Physical Journal E},
  year={2017},
  volume={40},
  pages={1-7}
}
Abstract.We study the buckling of an idealized, semiflexible filament along whose contour magnetic moments are placed. We give analytic expressions for the critical stiffness of the filament below which it buckles due to the magnetic compression. For this, we consider various scenarios of the attachment of the magnetic particles to the filament. One possible application for this model are the magnetosome chains of magnetotactic bacteria. An estimate of the critical bending stiffness indicates… 
5 Citations
Reversible magnetomechanical collapse: virtual touching and detachment of rigid inclusions in a soft elastic matrix.
TLDR
Experimental results show that in this case the cycle of virtual touching and detachment shows hysteretic behavior due to the mutual magnetization between the paramagnetic particles, important for the design and construction of reversibly tunable mechanical damping devices.
Ground state of dipolar hard spheres confined in channels.
TLDR
The ground state of a classical two-dimensional system of hard-sphere dipoles confined between two hard walls is investigated and it is revealed that at fixed wall separations, a first-order transition from a vacuum to a straight one-dimensional chain of dipoles occurs upon increasing the density.
Membrane penetration and trapping of an active particle.
TLDR
A simple model to describe the interaction of a self-driven spherical particle (moving through an effective constant active force) with a minimal membrane system, allowing for both penetration and trapping and results might be useful to predict the mechanical properties of synthetic minimal membranes.

References

SHOWING 1-10 OF 68 REFERENCES
Modelling semiflexible polymers: shape analysis, buckling instabilities, and force generation
The behavior of semiflexible polymers and filaments is governed by their bending energy. The corresponding bending rigidity gives rise to material properties that are distinct from those of flexible
The magneto-elastica: from self-buckling to self-assembly
TLDR
An effective magnetic bending stiffness is introduced for a chain of magnets and it is shown that, used in conjunction with classic results for elastic rods, it provides excellent estimates for the buckling and vibration dynamics of magnetic chains.
Buckling of paramagnetic chains in soft gels.
TLDR
Based on the observation that the magnetic chains are strongly coupled to the surrounding polymer network, a simplified model is developed to describe their buckling behavior and a coarse-grained molecular dynamics simulation model leading to morphologies in agreement with the experimentally observed buckling effects.
Elastic properties of magnetosome chains
TLDR
The calculations show that the presence of the cytoskeletal filament stabilizes the chain against ring closure, either thermodynamically or kinetically, depending on the stiffness of the filament, confirming that such stabilization is one of the roles of this structure in these bacterial cells.
Effects of the dipolar interaction on the equilibrium morphologies of a single supramolecular magnetic filament in bulk.
TLDR
The existence of three structural regimes as the value of the dipolar coupling parameter is increased is demonstrated: a coil compaction regime, a coil expansion regime, and a closed chain regime in which the structures tend progressively to an ideal ring configuration.
Hardening transition in a one-dimensional model for ferrogels.
TLDR
A coarse-grained model for quasi one-dimensional ferrogels that can provide a benchmark to test future descriptions of higher complexity and could be exploited for the construction of novel damping devices of tunable shock absorbance.
The Mechanics of a Chain or Ring of Spherical Magnets
TLDR
It is found that the mechanical properties of a chain of magnets differ significantly from those of an elastic rod: while both magnetic chains and elastic rods support bending by change of local curvature, nonlocal interaction terms also appear in the energy formulation for a magnetic chain.
Elastic stability of chains of magnetosomes in magnetotactic bacteria
Abstract Electron micrographs of magnetotactic bacteria reveal that chains of magnetosomes are often bent. This is surprising inasmuch as straight chains are actually the most favourable arrangement
A magnetosome chain viewed as a bio-elastic magnet.
TLDR
The results suggest that a magnetosome chain not only orients bacteria but also should be considered as a potential storage of elastic energy.
...
...