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Structure and dynamics of topological defects in a glassy liquid on a negatively curved manifold
François Sausset, Gilles Tarjus, David R. Nelson
We study the low-temperature regime of an atomic liquid on the hyperbolic plane by means of molecular dynamics simulation and we compare the results to a continuum theory of defect…
Extrinsic Curvature, Geometric Optics, and Lamellar Order on Curved Substrates
R. D. Kamien, D. R. Nelson, C. D. Santangelo +1
When thermal energies are weak, two dimensional lamellar structures confined on a curved substrate display complex patterns arising from the competition between layer bending and c…
Shear Unzipping of DNA
Buddhapriya Chakrabarti, David R. Nelson
We study theoretically the mechanical failure of a simple model of double stranded DNA under an applied shear. Starting from a more microscopic Hamiltonian that describes a sheared…
Genetic Demixing and Evolutionary Forces in the One-Dimensional Stepping Stone Model
K. S. Korolev, Mikkel Avlund, Oskar Hallatschek +1
We review and extend results for mutation, selection, genetic drift, and migration in a one-dimensional continuous population. The population is described by a continuous limit of…
Fisher equation with turbulence in one dimension
Roberto Benzi, David R. Nelson
We investigate the dynamics of the Fisher equation for the spreading of micro-organisms in one dimension subject to both turbulent convection and diffusion. We show that for strong…