Following on from last year's lecture, this year's lecture was devoted to the study of the chain of mathematical models enabling us to " go " from Atomic and Molecular Physics to Nonlinear Elasticity and the (macroscopic) mechanical properties of solids. After introducing Hartree-Fock-type models for crystals (for example) and giving the first elements of their mathematical analysis, we addressed i) the macroscopic limit, i.e. the convergence of molecular models to models of Continuum Mechanics, ii) the question of the geometry of networks for which it is possible to define the notion of average energy (or per unit volume) and iii) the modeling of random networks and the rigorous obtaining of average energy (or per unit volume) in this framework.
Lecture