Day 4: Wednesday morning, September 6, 2006

Session 5 Non-equilibrium thermodynamics: Approaches and formalisms
Chair: A.N. Beris

08:00  Towards a thermodynamics of complex systems_»
G. Nicolis
Interdisciplinary Center for Nonlinear Phenomena and Complex Systems, Universite Libre de Bruxelles, C.P. 231, Bvd. du Triomphe, 1050 Brussels, Belgium

08:50  Non-Equilibrium Thermodynamics of Boundary Conditions _»
H.C. Öttinger
ETH Zürich, Department of Materials, Institute of Polymers, HCI H 543, CH-8093 Zürich, Switzerland

09:15  Extended thermodynamics of polymers and superfluids_»
D. Jou¹, J. Casas-Vazquez¹, M. Criado-Sancho², M.S. Mongiovi^3
1 Universitat Autonoma de Barcelona, Bellaterra, Catalonia, Spain
² UNED (Universidad Nacional de Education a Distancia), Madrid, Spain
³ Universita di Palermo, Palermo, Italy

09:40  Kinematics of turbulence in simple and polymeric fluids _»
M. Grmela
Ecole Polytechnique de Montreal, Montreal H3C 3A7, Canada

10:05  Coffee break

10:20  Nonequilibrium thermodynamics of elasto-viscoplastic deformation _»
M. Hütter, T.A. Tervoort, H.C. Öttinger
Department of Materials, ETH Zurich, Switzerland

10:45  On a possible difference between the barycentric velocity and the velocity that gives translational momentum in fluids _»
D. Bedeaux¹, S. Kjelstrup¹, H.C. Öttinger^2
1 Dept. of Chem, Norw. Univ. of Sc. and Techn, Trondheim, Norway
² ETH Zürich, Dept. of Materials, Polymer Physics, Switzerland

11:10  Non-Equilibrium Thermodynamic Fluctuations within the Framework of Path Integrals _»
A. McKane¹, F. Vazquez², M.A. Olivares-Robles^3
1 Theory Group, School of Physics and Astronomy, University of Manchester M13 9PL, United Kingdom
² Facultad de Ciencias, UAEM, Av. Universidad 1001, Cuernavaca, Morelos 62209, Mexico
³ Seccion de Investigacion y Posgrado, ESIME-Culhuacan, IPN, Mexico D.F.

11:35  Discussion
A.N. Beris

12:05  Lunch

   Day 4: Wednesday afternoon, September 6, 2006

Session 6 Coarse-graining and mesoscopic dynamics - some mathematical aspects
Chair: B.J. Edwards

14:00  Dissipation and Stress _»
P. Constantin
Department of Mathematics, The University of Chicago, Chicago, IL 60637, USA

14:25  Self-similarity in Smoluchowski's coagulation equation _»
G. Menon¹, R.L. Pego^2
1 Division of Applied Mathematics, Brown University, USA
² Depat. of Mathematical Sciences, Carnegie Mellon University, USA

14:50  Stress relaxation theories in the approximation of polyconvex elastodynamics by viscoelasticity _»
T. Tzavaras
Department of Mathematics, University of Maryland, USA

15:15  Numerical analysis of coarse-graining for stochastic systems _»
P. Plechac
Mathematics Institute, University of Warwick, United Kingdom

15:40  Coffee break

15:55  Mathematical and computational methods for coarse-graining _»
M.A. Katsoulakis
University of Massachusetts, Amherst, USA

16:20  Some mathematical issues arising in the multiscale modelling of complex fluids_»
C. Le Bris
CERMICS, Ecole Nationale des Ponts et Chaussees, France

16:45  Discussion
B.J. Edwards

17:00  Free time

20:30  Gala dinner