Title
Quantitative Rates of Convergence to Non-Equilibrium Steady States for the Chain of Oscillators.
Abstract
A long-standing open problem in the study of out-of-equilibrium systems in statistical mechanics is the validity of Fourier’s law. In this talk we will present a family of models, the atom chains, introduced for this purpose, i.e. to describe properly heat diffusion. The model we will focus on is the so-called chain of oscillators coupled at its boundaries to heat baths at different temperatures. We will present new results on the exponential convergence to the non-equilibrium steady state in several distances with explicit rates of convergence for weakly anharmonic homogeneous oscillator chains and harmonic homogeneous or disordered oscillator chains in all dimensions.
Access the event online
Click here to access this online seminar. You should be able to watch the event via a browser window, or via the Microsoft Teams desktop application. The meeting will start at around 1.00pm London time.