The Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows

In these three lectures I will present ideas and methods to advance the physics of strong disorder. As usual in nonlinear physics one rarely can employ standard methods - nonlinear systems require specialized thinking to provide useful progress. Nevertheless some generic techniques like scaling on the one hand and bifurcation theory on the other can find powerful ramifications in the explored issues.

**Lecture 1:** **Micro Big-Bangs and Quantized Vortex Dynamics in Turbulent Quantum Fluids**

**6 Apr 2015, 4:00 PM**

In this lecture I will motivate the study of small-scale turbulence in quantum liquids like low-temperature 4He and 3He by referring to some exciting new experiments. I will focus on the dynamics of the density of quantum singularities, propose new equations of motion for this density, and apply the results to explain the experiments.

**Lecture 2:** **Plasticity and Material Failure in Amorphous Solids**

**7 Apr 2015, 4:00 PM**

I will explain the the nature of plasticity in glasses (amorphous solids) in contradistinction to plasticity in crystalline solids. Armed with this understanding I will focus on one of the catastrophic modes of failure of amorphous solids, i.e. shear banding. I will show how to estimate the yield strain and the angle of the shear band from microscopic theory.

**Lecture 3:** **Cross Magneto-Mechanical Effects in Amorphous Solids with Magnetic Degrees of Freedom**

**8 Apr 2015, 4:00 PM**

Metallic glasses with magnetic components exhibit fascinating cross-effects between mechanical and magnetic responses. Magnetostriction and Barkhausen Noise are just a few of these effects. I will describe microscopic models of magnetic glasses and a theory to explain some of the interesting effects that are typical to such systems.

**Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows**