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Effects of kinked linear defects on planar flux line arrays
Eleni Katifori, David R. Nelson
In the hard core limit, interacting vortices in planar type II superconductors can be modeled as non-interacting one dimensional fermions propagating in imaginary time. We use this…
Genome landscapes and bacteriophage codon usage
Julius B. Lucks, David R. Nelson, Grzegorz Kudla +1
Across all kingdoms of biological life, protein-coding genes exhibit unequal usage of synonmous codons. Although alternative theories abound, translational selection has been accep…
Interstitial Fractionalization and Spherical Crystallography
Mark J. Bowick, David R. Nelson, Homin Shin
Finding the ground states of identical particles packed on spheres has relevance for stabilizing emulsions and a venerable history in the literature of theoretical physics and math…
Soft modes near the buckling transition of icosahedral shells
M. Widom, J. Lidmar, D. R. Nelson
Icosahedral shells undergo a buckling transition as the ratio of Young's modulus to bending stiffness increases. Strong bending stiffness favors smooth, nearly spherical shapes, wh…
Unzipping Vortices in Type-II Superconductors
Yariv Kafri, David R. Nelson, Anatoli Polkovnikov
The unzipping of vortex lines using magnetic-force microscopy from extended defects is studied theoretically. We study both the unzipping isolated vortex from common defects, such…
Gene surfing
Oskar Hallatschek, David R. Nelson
Spatially resolved genetic data is increasingly used to reconstruct the migrational history of species. To assist such inference, we study, by means of simulations and analytical m…
Geometric Theory of Columnar Phases on Curved Substrates
Christian D. Santangelo, Vincenzo Vitelli, Randall D. Kamien +1
We study thin self-assembled columns constrained to lie on a curved, rigid substrate. The curvature presents no local obstruction to equally spaced columns in contrast to curved cr…