Current fluctuations in boundary driven systems: Universality, dynamical phase transitions and quantum transport
The recently formulated macroscopic fluctuation theory is a successful description of out of equilibrium diffusive systems. I will focus on current fluctuations of boundary driven systems within the macroscopic theory description, and discuss the relevance of the additivity principle to derive the large deviation function associated with the current fluctuations. Three results will be shown
1) Current fluctuations in boundary driven systems are universal
2) A criterion for the validity of the additivity principle and application to dynamical phase transitions.
3) Relevance of the macroscopic fluctuation theory to transport of disordered quantum systems.