Jamming and yielding of dislocations: from crystal plasticity to superconducting vortex flow

We discuss the statistical properties of interacting dislocations in plastically deformed crystals. Due to their long-range mutual interactions, dislocations arrange into jammed configurations, that can be set into motion under the action of an external stress. Disorder provides an additional source of pinning which we study by scaling theories, considering the case of parallel arrays of dislocations in a pileup or a low angle grain boundaries. As an application of these ideas, we discuss the plastic yielding of a vortex lattice in the Corbino disk and the growth of a vortex polycrystal in a field cooling experiment