Thermodynamics of Non-Additive Systems: The Example of the Thirring Model

Explore the thermodynamics of non-additive systems through a 56-minute lecture focusing on the Thirring model for self-gravitating systems. Delve into the study of long-range interacting systems and their unique properties, including ensemble inequivalence and equilibrium states under completely open conditions. Examine a modified version of the Thirring model featuring attractive and repulsive long-range interactions in dimensions d=1,2,3, where particles are treated as hard spheres. Compare equilibrium states in the unconstrained ensemble with those in the isothermal-isobaric ensemble using Monte Carlo simulations and analytical methods. Discover the occurrence of first-order phase transitions in the unconstrained ensemble and gain insights into long-range interacting systems exchanging heat, work, and matter with the environment. This talk, presented by Stefano Ruffo at the Erwin Schrödinger International Institute for Mathematics and Physics, was part of the Thematic Programme on "Tensor Networks: Mathematical Structures and Novel Algorithms."