4 papers
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…