Levy Fight in Mayonnaise
Glassy systems with long-range interactions often present avalanche type-response under slow driving, whose statistics is similar to that of earthquakes.
They also present a vanishing density of excitation at low energy or “pseudo gap”. I will explain why these facts must come together, and discuss in particular the plasticity of amorphous solids (for example, how does a mayonnaise flow when one slowly pushes it with a spoon). I will argue that the mean-field description of plasticity maps into the problem of Levy Flights near an absorbing boundary, and draw consequences of this analogy.