ESPCI, PARIS, FRANCE Le Professeur Martin BAZANT Department of Mathematics, MIT, Cambridge, USA, visiteur au Laboratoire de Physico-Chimie Théorique donnera une série de cours intitulés : « Fluctuations in Correlated Systems : Granular Flow and Percolation » Jeudi, 03 octobre 2002, à 11h00, « Particle Mixing in Granular Drainage » Amphi LANGEVIN, escalier N, 2ème étage Jeudi, 10 octobre 2002, à 11h00, « Velocity Correlations in Granular Drainage » Amphi LANGEVIN, escalier N, 2ème étage Jeudi, 17 octobre 2002, à 11h00, « Fluctuations and Crossover in Percolation » Amphi LANGEVIN, escalier N, 2ème étage Jeudi, 24 octobre 2002, à 11h00, « Stochastic Renormalization Group in Percolation » Amphi SCHUTZENBERGER, esc. N, 1er étage Abstract:Statistical physics is typically concerned with averages (or other low-order moments) of fluctuating quantities in infinite systems. Of course, complete probability distributions in finite systems are more desirable, but they are notoriously difficult to predict in the (common) presence of strong correlations. The reason is that most results from probability theory, such as the Central Limit Theorem, do not apply. In these lectures, simple mathematical models for fluctuations will be developed via two examples, granular flow and percolation, exhibiting short-range and long-range correlations, respectively, and various current applications will be discussed, such as fuel mixing in pebble-bed nuclear reactors and colloidal-cluster decay in drug delivery devices.