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Diffusion in a Random Lattice Lorentz Gas
Raphael Lefevere(Paris Diderot University)
2018-01-01 12:13  华东师范大学

NYU – ECNU
Institute of Mathematical Sciences at NYU Shanghai

WORKING AND LITERATURE SEMINAR

ABSTRACT OF THE TALK

Ever since the works of the founding fathers of statistical mechanics, the derivation of the laws of macroscopic transport as the result of the motion of the microscopic components has been a major challenge which remains largely unsolved to this day.
I will present a new model that can be seen as a random lattice Lorentz gas and for which a macroscopic diffusion equation can be rigorously derived from the microscopic dynamics. The proof is based on the fact that in high dimension, random walks have a small probability of making loops or intersecting each other when starting sufficiently far apart.

BIOGRAPHY

Raphael Lefevere is an associate professor at Paris Diderot University (Paris 7). He received his Ph.D. in Mathematical Physics from the University of Louvain (Belgium) in 1999. He went on to conduct postdoctoral research at the University of Helsinki (Finland) and in Kyoto University (Japan) before joining the Probability and Stochastic Models Laboratory in Paris Diderot University (France) in 2004. His main research focus is on Statistical Mechanics.