Macroscopic laws as laws of large numbers in non-ergodic Hamiltonian dynamics

2015/11/09 Mon 14:45 - 16:45
2015/11/10 Tue 14:45 - 16:45
2015/11/11 Wed 14:45 - 16:45
2015/11/12 Thu 14:45 - 16:45
2015/11/13 Fri 14:45 - 16:45
Raphael Lefevere
Université Paris Diderot

Brief abstract: Starting from the Kac ring model and ending with the lattice random Lorentz gas (mirrors model), this series of lectures will explain a strategy that allows a rigorous derivation of the evolution laws of macroscopic quantities in the context of non-ergodic Hamiltonian dynamics.

Plan of the lectures:
Lecture 1 : Introduction
Lecture 2 : The Kac's ring model
Lecture 3 : The rings model
Lecture 4 : Derivation of Fick's law for the current of particles in lattice random Lorentz gases out of equilibrium
Lecture 5 : Perspectives on the general lattice random Lorentz gas

(Click HERE for full abstract of lectures.)