Interacting topological defects on frozen topographies

@article{Bowick2000InteractingTD,
  title={Interacting topological defects on frozen topographies},
  author={M. Bowick and D. Nelson and A. Travesset},
  journal={Physical Review B},
  year={2000},
  volume={62},
  pages={8738-8751}
}
We propose and analyze an effective free energy describing the physics of disclination defects in particle arrays constrained to move on an arbitrary two-dimensional surface. At finite temperature the physics of interacting disclinations is mapped to a Laplacian sine-Gordon Hamiltonian suitable for numerical simulations. We discuss general features of the ground state and thereafter specialize to the spherical case. The ground state is analyzed as a function of the ratio of the defect core… Expand
Interstitial fractionalization and spherical crystallography.
Monte Carlo study of crystalline order and defects on weakly curved surfaces.
Discrete Charges on a Two Dimensional Conductor
Equidistribution of Jellium Energy for Coulomb and Riesz Interactions
Freezing on a sphere
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