June 14, 2024

January - June 2011 (Winter/Spring)
Thematic Program on Dynamics and Transport in Disordered Systems

April 4-8, 2011
Workshop on the Fourier Law and Related Topics

Coorganized by:
Carlangelo Liverani, Stefano Olla and Lai-Sang Young

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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.


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

Workshop Schedule (talk titles and abstracts)

Monday April 4
9:30 - 10:15 Registration and Coffee
10:15 - 10:30 Welcome and Introduction
Fields Director Ed Bierstone and Workshop Organizers
10:30 - 11:45 Joel Lebowitz (Rutgers University)
Transport Processes in Macroscopic Systems
11:45 - 1:45 Lunch Break
1:45 - 2:30 Lai-Sang Young (New York University)
Nonequilibrium steady states of certain dynamical models
2:30 - 3:00 Tatiana Yarmola (Fields Institute)
Ergodic properties of some canonical systems driven by thermostats
3:00 - 3:30 Coffee Break
3:30 - 4:15 Abhishek Dhar (Raman Research Institute)
Heat conduction in disordered harmonic lattices with energy conserving noise
4:15 - 5:00 Milton Jara (IMPA)
Second-order Boltzmann-Gibbs principle and applications
5:00 - 6:00 Reception - cash bar
Fields Atrium
Tuesday April 5
9:00 - 9:45 Giovanni Gallavotti (Universita' di Roma "La Sapienza")
BBGKY hierarchy for hard spheres
9:45 - 10:30 Thomas Gilbert (Université Libre de Bruxelles)
A two-stage approach to relaxation in locally confined hard sphere systems
10:30 - 11:00 Coffee Break
11:00 - 12:15 Stefano Olla (CEREMADE, Université de Paris - Dauphine)
Energy diffusion: linear response and hydrodynamic limits
12:15 - 2:00 Lunch Break
2:00 - 2:30 Giada Basile (University of Bonn)
Convergence of a kinetic equation to a diffusion equation under an anomalous scaling
2:30 - 3:00 Jeremy Clark (University of Helsinki)
A Brownian limit perturbed by a microscopic periodic potential
3:00 - 3:30 Coffee Break
3:30 - 4:00 François Huveneers (Université de Paris Dauphine)
Energy transport for a particle system interacting through rare collisions
4:00 - 4:30 Carlangelo Liverani (U. Roma Tor Vergata)
Fourier law and the weak coupling limit
4:30 - 5:00 Marco Lenci (University of Bologna)
Quenched results for random Lorentz tubes
Wednesday April 6
9:00 - 9:45 Gunter Schütz (Institut für Festkörperforschung)
Space-time correlations in the ASEP conditioned on carrying a large flux
9:45 - 10:30 Jean-Pierre Eckmann (Université de Genève)
Rattling and freezing in a 1-D transport model
10:30 - 11:00 Coffee Break
11:00 - 11:30 Raphael Lefevere (Université Denis Diderot (P7))
Large deviations of the current in collisional dynamics
11:30 - 12:00 Lorenzo Zambotti (Universite Pierre et Marie Curie)
Large deviations of stochastic collisional dynamics
12:00 - 12:30 Brian Ryals (New York University)
Nonequilibrium steady state of a 1D mechanical chain
3:00 - 5:00 Curling at Leaside Curling Club - 1073 a Millwood Rd.
5:00 - 6:30 Pizza Party at Curling Club
Thursday April 7
9:00 - 9:45 Jani Lukkarinen (University of Helsinki)
Kinetic description of a homogeneous Bose fluid with condensate
9:45 - 10:30 Martin Hairer (University of Warwick)
Toy models of extreme non-equilibrium
10:30 - 11:00 Coffee Break
11:00 - 12:15 Gianni Jona-Lasinio (Università di Roma La Sapienza)
Dynamic and static large deviations in nonequilibrium statistical mechanics: an overview
12:15 - 2:15 Lunch Break
2:15 - 3:00 Stephan De Bievre (UFR de Mathématiques et Laboratoire CNRS)
Equilibration, generalized equipartition, and diffusion in dynamical Lorentz gases
3:00 - 3:30 Coffee Break
3:30 - 4:15 Cédric Bernardin (CNRS, UMPA, Ens-Lyon)
Anomalous diffusion for a class of systems with two conserved quantities
4:20 - 5:00 Human Rights Session (chaired by Joel Lebowitz)
Friday April 8
9:00 - 9:45 Tadahisa Funaki (University of Tokyo)
An evolutional model of Young diagrams with conservation law
9:45 - 10:30

Thierry Bodineau (Ecole Normale Supérieure)
On long range correlations in non-equilibrium systems

10:30 - 11:00 Coffee Break
11:00 - 11:30 Alexander Grigo (University of Toronto)
Mixing properties of a heat conduction model
11:30 - 12:00 Imre Péter Toth (Technical University of Budapest)
A heat conduction model with localized billiard disks and weak interaction forces
12:00 - 1:30 Lunch Break
1:30 - 2:15 Claudio Landim (IMPA)
Action functional and quasi-potential for the Burgers equation in a bounded interval
2:15 - 3:00 Antti Kupiainen (University of Helsinki)
Diffusion of a Brownian Quantum Particle
3:00 - 3:30 Coffee Break


Confirmed Participants

Full Name University/Affiliation
Alberts, Tom University of Toronto
Bálint, Péter Budapest University of Technology and Economics
Bandyopadhyay, Malay University of Toronto
Basile, Giada University of Bonn
Bernardin, Cédric CNRS, UMPA, Ens-Lyon
Bloemendal, Alex University of Toronto
Bodineau, Thierry Ecole Normale Supérieure
Calleja, Renato McGill University
Clark, Jeremy University of Helsinki
De Bièvre, Stephan Université Lille 1
De Simoi, Jacopo University of Roma "Tor Vergata"
Dhar, Abhishek Raman Research Institute
Dolgopyat, Dmitry University of Maryland
Dotsenko, Victor Universite Paris VI
Dubois, Loic University of Helsinki
Eckmann, Jean-Pierre Université de Genève
Funaki, Tadahisa University of Tokyo
Gallavotti, Giovanni Universita' di Roma "La Sapienza"
Gilbert, Thomas Université Libre de Bruxelles
Giulietti, Paolo University of Roma "Tor Vergata"
Goldsheid, Ilya Queen Mary, University of London
Grigo, Alexander University of Toronto
Grosskinsky, Stefan University of Warwick
Guardia, Marcel Fields Institute/ U. of Toronto
Hairer, Martin University of Warwick
Halevy, Itamar no affiliation
Huveneers, François Université de Paris Dauphine
Jara, Milton IMPA
Jona-Lasinio, Gianni Universit`a di Roma La Sapienza
Khanin, Konstantin University of Toronto
Kocic, Sasa University of Toronto
Kupiainen, Antti University of Helsinki
Landim, Claudio IMPA
Lebowitz, Joel Rutgers University
Lee, Eunghyun University of California, Davis
Lefevere, Raphaël Université Denis Diderot (P7)
Lenci, Marco Universita` di Bologna
Liverani, Carlangelo U. Roma Tor Vergata
Lukkarinen, Jani University of Helsinki
Matic, Ivan  
Moreno Flores, Gregorio University of Wisconsin
Morris, Ian University of Rome "Tor Vergata"
Nandori, Peter Budapest University of Technology and Economics (BME)
Némedy Varga, András Budapest University of Technology and Economics
Niu, Shilei University of Waterloo
Novikov, Dmitry Weizmann Institute of Science
Olla, Stefano CEREMADE
Orlandi, Enza University of Roma Tre
Quastel, Jeremy University of Toronto
Remenik, Daniel University of Toronto
Rojas, Cristóbal University of Toronto
Ryals, Brian New York University
Salisbury, Thomas York University
Schütz, Gunter Institute of Complex Systems
Segal, Dvira University of Toronto
Selvitella, Alessandro McMaster University
Stenlund, Mikko Courant Institute
Szász, Domokos Budapest University of Technology and Economics
Tiglay, Feride The Fields Institute
Tóth, Imre Péter Technical University of Budapest
Valenta, George  
Varjú, Tamás Technical University of Budapest
Voltz, Jeremy University of Toronto
Wu, Lianao Universidad del País Vasco, UPV/EHU
Yarmola, Tatiana Fields Institute
Young, Lai-Sang New York University
Zambotti, Lorenzo Universite Pierre et Marie Curie
Zhang, Ke University of Toronto

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