Speaker
Description
The macroscopic fluctuation theory (MFT) has served as a universal tool for describing the large scale nonequilibrium physics induced by rare fluctuations. While the MFT has been applied only to many-body systems that are purely diffusive so far, the underlying idea can be extended to other transport types too. In this talk, based on the ideas of the MFT, I will introduce a new theory that describes the large scale fluctuations and correlations of many-body systems that support ballistic transport. The theory, which we call the ballistic MFT (BMFT), is then applied to study the current fluctuations as well as Euler-scale dynamical correlation functions in integrable systems. It turns out that integrability of the system greatly facilitates the application of the theory, allowing us to compute the objects of interest exactly. In particular, I will present how the BMFT enables us to evaluate the full Euler-scale dynamical correlation functions in integrable systems explicitly, including their long-range contributions, which is a novel phenomenon predicted by the theory.
