Gioia Carinci, Universit degli studi Di Modena e Reggio Emilia

Title: Integrable models of non-equilibrium

Abstract: The characterisation of the invariant measures for non-reversible particle systems driven out-of-equilibrium via the action of external reservoirs is typically a di cult task. This has been achieved e.g. for the well-known exclusion process. In this talk I will show a class of boundary driven zero-range models whose non-equilibrium steady state can be explicitly characterised via a probabilistic mixture of inhomogeneous product measures. This characterisation of the non-equilibrium steady state allows to compute the formula for the density large deviation function predicted by Macroscopic Fluctuation Theory and to establish the additivity principle. This is from joint works with: Chiara Franceschini, Rouven Frassek, Davide Gabrielli, Cristian Giardina, Frank Redig, Dimitrios Tsagkarogiannis Funded by PRIN project 2022: Emergence of condensation-like phenomena in interacting particle systems: kinetic and lattice models (Code 202277WX43- CUP E53D23005500006