Abstract
The last lecture focused on the fluctuation theorem, which represents a generalization of the fluctuation-dissipation relation to large current deviations and non-equilibrium stationary regimes. Its various formulations, its universal expression and its consequences - such as the probabilistic nature of the second principle - were discussed. A derivation in the case of Markov dynamics was presented, as well as the link with Crooks' and Jarzynski's relations. It was shown how, for systems close to equilibrium, the fluctuation theorem can be used to recover Onsager's reciprocity relations or the fluctuation-dissipation relation between conductivity and current fluctuations.
