  Two-dimensional Josephson junction arrays frustrated by a perpendicular
magnetic field are predicted to form a cascade of distinct vortex lattice
states. Here, we show that the resistivity tensor provides both structural and
dynamical information on the vortex-lattice states and intervening phase
transitions, which allows for experimental identification of these
symmetry-breaking ground states. We illustrate our general approach by a
microscopic theory of the resistivity tensor for a range of magnetic fields
exhibiting a rich set of vortex lattices as well as transitions to
liquid-crystalline vortex states.
