Energy transport in low dimensional systems
This event is part of the Condensed Matter Theory Seminar Series.
Abstract: For many one or two dimensional classical systems, the heat conductivity diverges in the thermodynamic limit. A hydrodynamic theory that explains this behaviour is discussed; the heat conductivity scales with the size of the system in a universal manner. This result relies on the relationship between correlation and linear response functions, but because the system is open with reservoirs at the ends, a 'Kubo-like' formula has to be proved. Numerical simulations confirm the analytical prediction. When the reservoirs at the ends of the system are not in thermal equilibrium, a wider range of phenomena can be observed; in particular, nonreciprocal transmission of waves is seen.