Defects in crystalline packings of twisted filament bundles. II. Dislocations and grain boundaries.

@article{Azadi2012DefectsIC,
  title={Defects in crystalline packings of twisted filament bundles. II. Dislocations and grain boundaries.},
  author={Amir Azadi and Gregory M. Grason},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={85 3 Pt 1},
  pages={
          031604
        }
}
  • A. Azadi, G. Grason
  • Published 29 December 2011
  • Materials Science, Medicine, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Twisted and ropelike assemblies of filamentous molecules are common and vital structural elements in cells and tissues of living organisms. We study the intrinsic frustration occurring in these materials between the two-dimensional organization of filaments in cross section and out-of-plane interfilament twist in bundles. Using nonlinear continuum elasticity theory of columnar materials, we study the favorable coupling of twist-induced stresses to the presence of edge dislocations in the… 
Defects in crystalline packings of twisted filament bundles. I. Continuum theory of disclinations.
  • G. Grason
  • Materials Science, Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2012
TLDR
The effective theory of multiple disclination defects in the cross section of bundle with a fixed twist is derived and it is shown that above a critical degree of twist, one or more fivefold disclinations is favored in the elastic energy ground state.
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It is found that the value of azimuthal stress at the rim of the assembly determines the preferred directions for defect nucleation, which allows us to understand the progressive building-up of the typical disclination and grain boundary pattern observed for ground states of large 2D spherical crystals.
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This work shows the promising potential of exploiting richness in both physical interactions and substrate geometries to create new types of crystallographic defects, which have strong connections with the design of crystalline materials.
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References

SHOWING 1-10 OF 39 REFERENCES
The physics of liquid crystals
Part 1 Liquid crystals - main types and properties: introduction - what is a liquid crystal? the building blocks nematics and cholesterics smectics columnar phases more on long-, quasi-long and
Defects and geometry in condensed matter physics
1. Fluctuations, renormalization and universality 2. Defect mediated phase transitions 3. Order, frustration 4. The structure and statistical mechanics of glass 5. The statistical mechanics of
Collagen : structure and mechanics
Collagen: Structure and Mechanics, an Introduction.- Collagen Diversity, Synthesis and Assembly.- Collagen Fibrillar Structure and Hierarchies.- Restraining Cross-Links Responsible for the Mechanical
Geometrical Frustration: Frank and Kasper coordination polyhedra
Frank and Kasper polyhedra One can always, in an unambiguous way, divide up a structure, made of points, into (usually irregular) tetrahedra. This is done using first the Voronoi (or Dirichlet)
The pursuit of perfect packing
Prefaces How Many Sweets in the Jar? Loose Change and Tight Packing A Teasing but Tractable Problem A Handful of Coins Order and Disorder Hard Problems with Hard Spheres The Greengrocer's Dilemma
Physical principles in the construction of regular viruses.
  • D. Caspar, A. Klug
  • Biology, Medicine
    Cold Spring Harbor symposia on quantitative biology
  • 1962
TLDR
The authors' designs obey strict icosahedral symmetry, with the asymmetric unit in each case containing a heterodimer that comprises one subunit from each of the two components.
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
The Pursuit of Perfect Packing, Second Edition
Maintaining its mathematical core, this edition continues and revises some of the stories from its predecessor while adding several new examples and applications.
Phys
  • Rev. Lett. 105, 045502
  • 2010
Biophys
  • J. 68, 1661
  • 1995
...
1
2
3
4
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