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Population Genetics with Fluctuating Population Sizes
Thiparat Chotibut, David R. Nelson
Standard neutral population genetics theory with a strictly fixed population size has important limitations. An alternative model that allows independently fluctuating population s…
Non-Hookean statistical mechanics of clamped graphene ribbons
Mark J. Bowick, Andrej Kosmrlj, David R. Nelson +1
Thermally fluctuating sheets and ribbons provide an intriguing forum in which to investigate strong violations of Hooke's Law: large distance elastic parameters are in fact not con…
Statistical mechanics of thin spherical shells
Andrej Kosmrlj, David R. Nelson
We explore how thermal fluctuations affect the mechanics of thin amorphous spherical shells. In flat membranes with a shear modulus, thermal fluctuations increase the bending rigid…
Plastic deformation of tubular crystals by dislocation glide
Daniel A. Beller, David R. Nelson
Tubular crystals, two-dimensional lattices wrapped into cylindrical topologies, arise in many contexts, including botany and biofilaments, and in physical systems such as carbon na…
Striated Populations in Disordered Environments with Advection
Thiparat Chotibut, David R. Nelson, Sauro Succi
Growth in static and controlled environments such as a Petri dish can be used to study the spatial population dynamics of microorganisms. However, natural populations such as marin…
Non-Hermitian Localization in Biological Networks
Ariel Amir, Naomichi Hatano, David R. Nelson
We explore the spectra and localization properties of the N-site banded one-dimensional non-Hermitian random matrices that arise naturally in sparse neural networks. Approximately…