  In order to understand the mechanisms for glassy dynamics in biological
tissues and shed light on those in non-biological materials, we study the
low-temperature disordered phase of 2D vertex-like models. Recently it has been
noted that vertex models have quite unusual behavior in the zero-temperature
limit, with rigidity transitions that are controlled by residual stresses and
therefore exhibit very different scaling and phenomenology compared to
particulate systems. Here we investigate the finite-temperature phase of
two-dimensional Voronoi and Vertex models, and show that they have highly
unusual, sub-Arrhenius scaling of dynamics with temperature. We connect the
anomalous glassy dynamics to features of the potential energy landscape
associated with zero-temperature inherent states.
