by S. Lepri (2 credits, type C)
The theoretical understanding of nonequilibrium states is mostly based on model systems. It this lectures, I will summarize what has been learnt in the last 20 years on transport for classical low-dimensional lattices, covering the effect of disorder, anomalous transport and integrability.
- Introduction: motivations and applications
- Main models: array of coupled nonlinear oscillators
- Simulation methods for transport properties: equilibrium and non-equilibrium
- Harmonic lattices: the RLL model
- Effect of disorder
- Anomalous transport: phenomenology
- Universality and theoretical approaches
- Exactly solvable models for anomalous transport
- Trasport in integrable and quasi-integrable lattices
- Applications and experiments: nanophononics and micromagnetics