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Explore the cutting-edge developments in quantum thermodynamics for finite-size systems in this 58-minute lecture by Dr. Kamil Korzekwa from Jagiellonian University. Delve into the challenges of applying classical thermodynamics to nanoscale systems, where quantum effects and finite particle numbers become significant. Discover why thermodynamic transformations in finite-size systems are generally irreversible and consume free energy, impacting the performance of thermodynamic protocols. Learn about a new version of the fluctuation-dissipation theorem, linking free energy dissipation to initial state fluctuations. Investigate the novel resource resonance phenomenon, which can significantly reduce dissipation in certain transformations. Examine how quantum coherence may bring states closer to resonance, effectively decreasing free energy dissipation. Gain insights into the latest advancements that allow rigorous investigation of thermodynamic transformations beyond the traditional thermodynamic limit.