Diffusion on a heptagonal lattice.

@article{Baek2008DiffusionOA,
  title={Diffusion on a heptagonal lattice.},
  author={S. K. Baek and S. Yi and B. Kim},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2008},
  volume={77 2 Pt 1},
  pages={
          022104
        }
}
  • S. K. Baek, S. Yi, B. Kim
  • Published 2008
  • Mathematics, Medicine, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • We study the diffusion phenomena on the negatively curved surface made up of congruent heptagons. Unlike the usual two-dimensional plane, this structure makes the boundary increase exponentially with the distance from the center, and hence the displacement of a classical random walker increases linearly in time. The diffusion of a quantum particle put on the heptagonal lattice is also studied in the framework of the tight-binding model Hamiltonian, and we again find the linear diffusion like… CONTINUE READING
    7 Citations

    Figures and Topics from this paper.

    Explore Further: Topics Discussed in This Paper

    Curvature-induced frustration in the XY model on hyperbolic surfaces.
    • 14
    • PDF
    Bootstrap Percolation and Kinetically Constrained Models on Hyperbolic Lattices
    • 21
    • PDF
    Percolation on hyperbolic lattices.
    • 32
    • PDF
    Phase transition of q-state clock models on heptagonal lattices.
    • 7
    • PDF
    Majority-vote model on hyperbolic lattices.
    • Zhi-Xi Wu, P. Holme
    • Mathematics, Physics
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2010
    • 33
    • PDF