Rotational-like properties of the shears bands

Abstract

We present a model study of the quasirotational properties of a system consisting of two angular momentum vectors (blades) interacting via an effective force of the form ${V}_{2}{P}_{2}(\ensuremath{\theta}),$ where $\ensuremath{\theta}$ is the angle between the blades. We find the relationship between angular momentum and rotational frequency and derive from it the kinematical and dynamical moments of inertia. The dynamics of this simple system seems to account for the salient features of the shears bands.