Reaction diffusion particle systems: from chemistry to algebra and analysis
Seminar “Theory of Condensed Matter”
Date and Time: Tuesday, 4 August 2020, at 4:00 PM
Venue: Online conference in Zoom, Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Reaction diffusion particle systems: from chemistry to algebra and analysis»
Authors: Oleg Zaboronski (University of Warwick) and Roger Tribe
Speaker: O. Zaboronski
Strong fluctuation effects make the perturbative analysis of reaction diffusion particle systems in one and two dimensions pretty useless. In the talk I will explain how the one-dimensional models can be studied by exploiting certain symmetries of the system, solving infinite systems of linear PDE’s and calculating Fredholm determinants. As a byproduct, we will also find out what is the probability that a large real random matrix has no real eigenvalues. This talk is a summary of some of the research Roger Tribe and I have been doing over the last ten years.