Kavli Affiliate: Mark Bowick | First 5 Authors: Mark Bowick, Rastko Sknepnek, , , | Summary: The interplay between geometry, topology and order can lead to geometric frustration that profoundly affects the shape and structure of a curved surface. In this commentary we show how frustration in this context can result in the faceting of […]
Kavli Affiliate: Mark Bowick | First 5 Authors: Zhenwei Yao, Mark Bowick, Xu Ma, Rastko Sknepnek, | Summary: If an inextensible thin sheet is adhered to a substrate with a negative Gaussian curvature it will experience stress due to geometric frustration. We analyze the consequences of such geometric frustration using analytic arguments and numerical simulations. […]
Kavli Affiliate: Mark Bowick | First 5 Authors: Zhenwei Yao, Mark Bowick, , , | Summary: We analyze the stability and dynamics of toroidal liquid droplets. In addition to the Rayleigh instabilities akin to those of a cylindrical droplet there is a shrinking instability that is unique to the topology of the torus and dominates […]
Kavli Affiliate: Anthony Zee | First 5 Authors: Daniel E. Holz, Anthony Zee, , , | Summary: As has been previously proposed, a minimal modification of the standard $SU(3)times SU(2)times U(1)$ theory provides a viable dark matter candidate. Such a particle, a scalar gauge singlet, is naturally self-interacting—making it of particular interest given recent developments […]
Kavli Affiliate: Anthony Zee | First 5 Authors: Anthony Zee, , , , | Summary: We discuss the problem of adding random matrices, which enable us to study Hamiltonians consisting of a deterministic term plus a random term. Using a diagrammatic approach and introducing the concept of “gluon connectedness," we calculate the density of energy […]
Kavli Affiliate: Anthony Zee | First 5 Authors: Anthony Zee, Edouard Brézin, , , | Summary: We prove that in random matrix theory there exists a universal relation between the one-point Green’s function $G$ and the connected two- point Green’s function $G_c$ given by vfill $ N^2 G_c(z,w) = {part^2 over part z part w} […]
Kavli Affiliate: Anthony Zee | First 5 Authors: Anthony Zee, Edouard Brézin, , , | Summary: We prove that in random matrix theory there exists a universal relation between the one-point Green’s function $G$ and the connected two- point Green’s function $G_c$ given by vfill $ N^2 G_c(z,w) = {part^2 over part z part w} […]