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Collapse and folding of pressurized rings in two dimensions
Eleni Katifori, Silas Alben, David R. Nelson
Hydrostatically pressurized circular rings confined to two dimensions (or cylinders constrained to have only z-independent deformations) undergo Euler type buckling when the outsid…
Genetic drift at expanding frontiers promotes gene segregation
Oskar Hallatschek, Pascal Hersen, Sharad Ramanathan +1
Competition between random genetic drift and natural selection plays a central role in evolution: Whereas non-beneficial mutations often prevail in small populations by chance, mut…
Vortices in Superfluid Films on Curved Surfaces
Ari M. Turner, Vincenzo Vitelli, David R. Nelson
We present a systematic study of how vortices in superfluid films interact with the spatially varying Gaussian curvature of the underlying substrate. The Gaussian curvature acts as…
Defect-Mediated Emulsification in Two Dimensions
K. S. Korolev, David R. Nelson
We consider two dimensional dispersions of droplets of isotropic phase in a liquid with an XY-like order parameter, tilt, nematic, and hexatic symmetries being included. Strong anc…