Workshop on the Fourier Law and Related Topics

April 4 - 8, 2011, The Fields Institute

Location: Fields Institute, Room 230

Description

The general problem of deriving the macroscopic behaviour of the nature from the laws governing the microscopic contituents is central in the theory of non-equilibrium statistical mechanics. Recent advances in probability, analysis and dynamical systems have made possible to tackle some aspects of such problem rigorously. In this workshop we would like to bring together both mathematicians an theoretical physicists to discuss state of the art, new ideas and compare different approaches with particular emphasis (but not limited to) the derivation of the Fourier Law.

Topics

Non equilibrium statistical mechanics
Interacting particles systems and hydrodynamics limit
Quantitative statistical theory of dynamical systems
Kinetic theory

Schedule

Monday, April 4th, 2011
09:30 to 10:15	Registration and Coffee
10:15 to 10:30	Welcome and Introductions
10:30 to 11:45	Transport Processes in Macroscopic Systems Joel Lebowitz, Rutgers University
11:45 to 13:45	Lunch Break
13:45 to 14:30	Nonequilibrium steady states of certain dynamical models Lai-Sang Young, New York University
14:30 to 15:00	Ergodic properties of some canonical systems driven by thermostats Tatiana Yarmola, The Fields Institute
15:00 to 15:30	Coffee Break
15:30 to 16:15	Heat conduction in disordered harmonic lattices with energy conserving noise Abhishek Dhar
16:15 to 17:00	Second-order Boltzmann-Gibbs principle and applications Milton Jara
17:00 to 18:00	Reception

Tuesday, April 5th, 2011
09:00 to 09:45	BBGKY hierarchy for hard spheres Giovanni Gallavotti, La Sapienza, University of Rome
09:45 to 10:30	A two-stage approach to relaxation in locally confined hard sphere systems Thomas Gilbert, Université Libre de Bruxelles
10:30 to 11:00	Coffee Break
11:00 to 12:15	Energy diffusion: linear response and hydrodynamic limits Stefano Olla, Université Paris Dauphine
12:15 to 14:00	Lunch Break
14:00 to 14:30	Convergence of a kinetic equation to a diffusion equation under an anomalous scaling Giada Basile, Sapienza University of Rome
14:30 to 15:00	A Brownian limit perturbed by a microscopic periodic potential Jeremy Clark
15:00 to 15:30	Coffee Break
15:30 to 16:00	Energy transport for a particle system interacting through rare collisions François Huveneers, Université Paris Dauphine and Université Paris-Dauphine
16:00 to 16:30	Fourier law and the weak coupling limit Carlangelo Liverani, Sapienza University of Rome
16:30 to 17:00	Quenched results for random Lorentz tubes Marco Lenci, University of Bologna

Wednesday, April 6th, 2011
09:00 to 09:45	Space-time correlations in the ASEP conditioned on carrying a large flux Gunter Schütz, University of Bonn
09:45 to 10:30	Rattling and freezing in a 1-D transport model Jean-Pierre Eckmann, University of Geneva and Université de Genève
10:30 to 11:00	Coffee Break
11:00 to 11:30	Large deviations of the current in collisional dynamics Raphael Lefevere, Paris Diderot University - Paris 7
11:30 to 12:00	Large deviations of stochastic collisional dynamics Lorenzo Zambotti, UPMC
12:00	Nonequilibrium steady state of a 1D mechanical chain Brian Ryals
15:00 to 17:00	Curling at Leaside Curling Club - 1073 a Millwood Rd.
17:00 to 18:30	Pizza Party at Curling Club

Thursday, April 7th, 2011
09:00 to 09:45	Kinetic description of a homogeneous Bose fluid with condensate Jani Lukkarinen, University of Helsinki
09:45 to 10:30	Toy models of extreme non-equilibrium Martin Hairer, Imperial College London and University of Warwick
10:30 to 11:00	Coffee Break
11:00 to 12:15	Dynamic and static large deviations in nonequilibrium statistical mechanics: an overview Giovanni Jona-Lasinio, Università di Roma La Sapienza
12:15 to 14:15	Lunch Break
14:15 to 15:00	Equilibration, generalized equipartition, and diffusion in dynamical Lorentz gases Stephan De Bièvre, Université de Lille
15:00 to 15:30	Coffee Break
15:30 to 16:15	Anomalous diffusion for a class of systems with two conserved quantities Cedric Bernardin
16:20 to 17:00	Human Rights Session (chaired by Joel Lebowitz)

Friday, April 8th, 2011
09:00 to 09:45	An evolutional model of Young diagrams with conservation law Tadahisa Funaki, The University of Tokyo
09:45 to 10:30	On long range correlations in non-equilibrium systems Thierry Bodeneau, Ecole Polytechnique
10:30 to 11:00	Coffee Break
11:00 to 11:30	Mixing properties of a heat conduction model Alexander Grigo, University of Toronto
11:30 to 12:00	A heat conduction model with localized billiard disks and weak interaction forces Imre Péter Toth
12:00 to 13:30	Lunch Break
13:30 to 14:15	Action functional and quasi-potential for the Burgers equation in a bounded interval Claudio Landim, IMPA (Instituto Nacional de Matematica Pura e Aplicada, Brazil)
14:15 to 15:00	Diffusion of a Brownian Quantum Particle Antti Kupiainen, University of Helsinki

Organizing Committee

Carlangelo Liverani - Sapienza University of Rome

Stefano Olla - Université Paris Dauphine

Lai-Sang Young - New York University

Scheduled as part of

Thematic Program on Dynamics and Transport in Disordered Systems

The Fields Institute for
Research in Mathematical Sciences