Incompressibility in Rod and Shell Theories

Incompressibility in rod and shell theories

We treat the problem of constructmg exact théories of rods and shells for thm mcom pressible bodies We employ a systematic method that consists m imposmg constramts to reduce the number of degrees of freedom df each cross section to a finit e number We show that it is very difficult to produce théories that exactly preserve the mcompressibihty and we show that it is impossible to do so for naïv...

Plasmonic rod-in-shell nanoparticles for photothermal therapy.

The plasmonic gold nanoparticles are promising candidates for photothermal therapy (PTT) application. The optical properties of various gold nanoparticles have been widely investigated for PTT application in the first near-infrared (NIR) window (650-950 nm). However, few studies have been reported on the nanoparticles employed in the second NIR window (1000-1350 nm) where light penetrates deepe...

Recurrence and Incompressibility

Incompressibility and Global Inversion

Given a local diffeomorphism f : R → R, we consider certain incompressibility conditions on the parallelepiped Df(x) ([0, 1]) which imply that the pre-image of an affine subspace is non-empty and has trivial homotopy groups. These conditions are then used to establish criteria for f to be globally invertible, generalizing in all dimensions the previous results of Sabatini.

On-Shell Recursion Relations for Generic Theories

We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at least one gluon obeys a recursion relation. In (super)gravity coupled to scalars and fermions, the same holds for any amplitude with at least one graviton. This ...