An analysis will be presented of the foundations of statistical mechanics, both classical and quantum. We will focus on a few selected complex systems for which the Boltzmann-Gibbs entropy and statistical mechanical traditional concepts differ from those that satisfactorily apply to analytical, experimental and computational evidences. In particular, first-principle dynamical simulations of models with long-range interactions neatly exhibit when the celebrated Boltzmann weight is valid and when it fails. A Bibliography can be found here.
31 May, 2018, 13:15
31 May, 2018, 14:00