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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…
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…
Towards a Tetravalent Chemistry of Colloids
David R. Nelson
We propose coating spherical particles or droplets with anisotropic nano-sized objects to allow micron-scale colloids to link or functionalize with a four-fold valence, similar to…
Vortex Pinning and Non-Hermitian Quantum Mechanics
Naomichi Hatano, David R. Nelson
A delocalization phenomenon is studied in a class of non-Hermitian random quantum-mechanical problems. Delocalization arises in response to a sufficiently large constant imaginary…
Irreversibility, Mechanical Entanglement and Thermal Melting in Superconducting Vortex Crystals with Point Impurities
Deniz Ertas, David R. Nelson
We discuss the onset of irreversibility and entanglement of vortex lines in high Tc superconductors due to point disorder and thermal fluctuations using a simplified cage model. A…
Pinning and Tribology of Tethered Monolayers on Disordered Substrates
Carlo Carraro, David R. Nelson
We study the statistical mechanics and dynamics of crystalline films with a fixed internal connectivity on a random substrate. Defect free triangular lattices exhibit a sharp trans…