75 citations · 179 across the 7 of their papers we have counts for
7 papers
The Allee Effect in Compressible Flows
Jonathan Bauermann, Roberto Benzi, David R. Nelson +1
Microbes in marine environments are often confined to thin near-surface layers while being advected by turbulent flows. Because such constrained advection generates an effectively…
Banded non-Hermitian random matrices, neural networks, and eigenvalue degeneracies
Richard Huang, David R. Nelson
We study two-banded, non-Hermitian random matrices inspired by sparse neural networks with a circular, 1d topology. We focus on two paradigmatic models, an SSH chain and a ladder m…
Genetic interfaces at the frontier of expanding microbial colonies
Jonathan Bauermann, David R. Nelson
We study the genetic interfaces between two species of an expanding colony that consists of individual microorganisms that reproduce and undergo diffusion, both at the frontier and…
Defects in Chiral Columnar Phases: Tilt Grain Boundaries and Iterated Moire Maps
Randall D. Kamien, David R. Nelson
Biomolecules are often very long with a definite chirality. DNA, xanthan and poly-gamma-benzyl-glutamate (PBLG) can all form columnar crystalline phases. The chirality, however, co…
Iterated Moire Maps and Braiding of Chiral Polymer Crystals
Randall D. Kamien, David R. Nelson
In the hexagonal columnar phase of chiral polymers a bias towards cholesteric twist competes with braiding along an average direction. When the chirality is strong, screw dislocati…
Rotational Invariance and the Theory of Directed Polymer Nematics
Randall D. Kamien, Pierre Le Doussal, David R. Nelson
The consequences of rotational invariance in a recent theory of fluctuations in dilute polymer nematics are explored. A correct rotationally invariant free energy insures that anom…
Theory of Directed Polymers
R. D. Kamien, P. Le Doussal, D. R. Nelson
We develop a theory of polymers in a nematic solvent by exploiting an analogy with two-dimensional quantum bosons at zero temperature. We argue that the theory should also describe…