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Microbial range expansions on liquid substrates
Severine Atis, Bryan T. Weinstein, Andrew W. Murray +1
Despite the importance that fluid flow plays in transporting and organizing populations, few laboratory systems exist to systematically investigate the impact of advection on their…
Evolution in range expansions with competition at rough boundaries
Sherry Chu, Mehran Kardar, David R. Nelson +1
When a biological population expands into new territory, genetic drift develops an enormous influence on evolution at the propagating front. In such range expansion processes, fluc…
Non-Hermitian Quasi-Localization and Ring Attractor Neural Networks
Hidenori Tanaka, David R. Nelson
Eigenmodes of a broad class of "sparse" random matrices, with interactions concentrated near the diagonal, exponentially localize in space, as initially discovered in 1957 by Ander…
Kirigami mechanics as stress relief by elastic charges
Michael Moshe, Edward Esposito, Suraj Shankar +4
We develop a geometric approach to understand the mechanics of perforated thin elastic sheets, using the method of strain-dependent image elastic charges. This technique recognizes…
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…
Nonlinear mechanics of thin frames
Michael Moshe, Edward Esposito, Suraj Shankar +4
The dramatic effect kirigami, such as hole cutting, has on the elastic properties of thin sheets invites a study of the mechanics of thin elastic frames under an external load. Suc…