INHOMOGENEOUS RANDOM SYSTEMS 23-24 January 2024 Schedule Institut Henri Poincaré 11-13, rue Pierre et Marie Curie, Paris also Online

The aim of this annual workshop is to bring together mathematicians and physicists working on disordered or random systems, and to discuss recent developments on themes of common interest. Each day is devoted to a specific topic. Note that the 43nd edition of the Journées de Physique Statistique" takes place on January 25th and 26th.

Tuesday 23 January: Large scale limits of particle systems: kinetic theory and applications.
        Moderator: Sergio Simonella (Roma)

Large-scale limits allow us to give a rigorous explanation of the link between non-equilibrium phenomena occurring in complex systems as fluids and gases, and microscopic modelling based on a few first principles. Kinetic theory has a privileged role in this enterprise. Some of its archetype models can be obtained directly from the deterministic dynamics of large systems of particles, with random initial data. One encounters several challenges, both of physical and mathematical nature, such as: the overcoming of perturbative results, the combination of long range and collisional effects, the understanding of the relation between particle and wave behaviour. The objective of the day is to provide a view of the latest research directions in the field, including the interplay between more fundamental aspects and the impact of kinetic theory in applications.

Speakers: Lorenzo Bertini (Roma), Pierre Degond (Toulouse), Rossana Marra (Roma), Sylvia Serfaty (Paris & New York), Herbert Spohn (Muenchen), Raphael Winter (Cardiff).

Titles and abstracts + some pdf presentations

In the mathematical modelling of many-body systems one usually imposes periodic boundary conditions for their analytical treatment. However, real physical systems have boundaries subject to boundary fields and/or exchange of mass, energy and other quantities that are conserved by the bulk dynamics. Especially in one space dimension and far from thermal equilibrium this has dramatic and often unexpected effects, ranging from causing long-range correlations to inducing non-equilibrium bulk phase transitions. This day of the workshop is devoted to discussing recent developments in the study of steady states, hydrodynamics, and fluctuations in the presence of boundaries as well as related problems.

Speakers: Bernard Derrida (Paris), Chiara Franceschini (Modena), Patricia Gonçalves (Lisboa), Frank Redig (Delft), Tridib Sadhu (Mumbai), Ali Zahra (Lisboa).

Titles and abstracts + some pdf presentations

Giambattista Giacomin	Christian Maes	Ellen Saada
Université Paris Cité	KU Leuven	CNRS & Université Paris Cité
giambattista.giacomin@u-paris.fr	christian.maes@kuleuven.be	ellen.saada@u-paris.fr

Program of previous sessions: 1994 - 1995 - 1996 - 1997 - 1998 (Moving fronts, Griffiths singularities) - 1999
2000 - 2001 - 2002 - 2003 - 2004 - 2005 - 2006 - 2007 - 2008 - 2009 - 2010 - 2011 - 2012 - 2013 - 2014 - 2015 - 2016 - 2017 - 2018 - 2019 - 2020 - 2021 - 2022 - 2023