22 citations · 89 across the 8 of their papers we have counts for
8 papers
Geometric frustration of hard-disk packings on cones
Jessica H. Sun, Abigail Plummer, Grace H. Zhang +2
Conical surfaces pose an interesting challenge to crystal growth: a crystal growing on a cone can wrap around and meet itself at different radii. We use a disk-packing algorithm to…
Obstructed swelling and fracture of hydrogels
Abigail Plummer, Caroline Adkins, Jean-François Louf +2
Obstructions influence the growth and expansion of bodies in a wide range of settings -- but isolating and understanding their impact can be difficult in complex environments. Here…
Curvature as an external field in mechanical antiferromagnets
Abigail Plummer, Paul Z. Hanakata, David R. Nelson
A puckered sheet is a freestanding crystalline membrane with an embedded array of bistable buckled units. Recent work has shown that the bistable units behave like spins in a two-d…
Anomalous thermal expansion in Ising-like puckered sheets
Paul Z. Hanakata, Abigail Plummer, David R. Nelson
Motivated by efforts to create thin nanoscale metamaterials and understand atomically thin binary monolayers, we study the finite temperature statistical mechanics of arrays of bis…
Buckling and metastability in membranes with dilation arrays
Abigail Plummer, David R. Nelson
We study periodic arrays of impurities that create localized regions of expansion, embedded in two-dimensional crystalline membranes. These arrays provide a simple elastic model of…
Discrete Eulerian model for population genetics and dynamics under flow
Giorgia Guccione, Roberto Benzi, Abigail Plummer +1
Marine species reproduce and compete while being advected by turbulent flows. It is largely unknown, both theoretically and experimentally, how population dynamics and genetics are…
Joint Instability and Abrupt Nonlinear Transitions in a Differentially Rotating Plasma
Abigail Plummer, J. B. Marston, S. M. Tobias
Global magnetohydrodynamic (MHD) instabilities are investigated in a computationally tractable two-dimensional model of the solar tachocline. The model's differential rotation yiel…
Fixation Probabilities in Weakly Compressible Fluid Flows
Abigail Plummer, Roberto Benzi, David R. Nelson +1
Competition between biological species in marine environments is affected by the motion of the surrounding fluid. An effective 2D compressibility can arise, for example, from the c…