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Explore the fascinating phenomenon of late-time phase transitions in this comprehensive lecture delivered at the prestigious Galileo Galilei Institute. Delve into the theoretical framework and physical mechanisms underlying phase transitions that occur at extended time scales, examining how systems evolve and transform their fundamental properties long after initial conditions have been established. Investigate the mathematical formalism used to describe these temporal phase changes, analyze specific examples from condensed matter physics and statistical mechanics, and understand the implications for non-equilibrium dynamics. Learn about the experimental signatures and observational consequences of late-time phase transitions, including their relevance to cosmological models, quantum many-body systems, and complex materials. Discover how these transitions differ from conventional equilibrium phase transitions and gain insights into the role of time as a critical parameter in determining system behavior and phase stability.
