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Spherical Crystallography: Virus Buckling and Grain Boundary Scars
David R. Nelson
Ordered states on spheres require a minimum number of topological defects. For the case of crystalline order, triangular lattices must be interrupted by an array of at least 12 fiv…
Dynamics of Molecular Motors and Polymer Translocation with Sequence Heterogeneity
Yariv Kafri, David K. Lubensky, David R. Nelson
The effect of sequence heterogeneity on polynucleotide translocation across a pore and on simple models of molecular motors such as helicases, DNA polymerase/exonuclease and RNA po…
Curvature-Induced Defect Unbinding in Toroidal Geometries
Mark Bowick, David R. Nelson, Alex Travesset
Toroidal templates such as vesicles with hexatic bond orientational order are discussed. The total energy including disclination charges is explicitly computed for hexatic order em…
A Quasispecies on a Moving Oasis
Michael M. Desai, David R. Nelson
A population evolving in an inhomogeneous environment will adapt differently to different regions. We study the conditions under which such a population can maintain adaptations to…
Statistical Physics of Unzipping DNA
David R. Nelson
The denaturation of double-stranded DNA as function of force and temperature is discussed. At room temperature, sequence heterogeneity dominates the physics of single molecule forc…
Virus shapes and buckling transitions in spherical shells
Jack Lidmar, Leonid Mirny, David R. Nelson
We show that the icosahedral packings of protein capsomeres proposed by Caspar and Klug for spherical viruses become unstable to faceting for sufficiently large virus size, in anal…