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Events
Stochastic and atomistic aspects of elasticity

Technische Universität Berlin

Raum n.n.

conference

25.05.06 27.05.06

Stochastic and atomistic aspects of elasticity

Inaugural Workshop for the Focused Research Group (FOR 718) "Analysis and Stochastics in Complex Physical Systems".

Program

10:15 - 11:15	Tadahisa Funaki (University of Tokyo, Japan) Concentrations in (1+1)-dimensional interfaces with delta-pinning
11:15 - 12:15	Oliver Penrose (Heriot-Watt University, United Kingdom) Equilibrium statistical mechanics of a nonlinearly elastic solid
12:15 - 13:15	Buffet Lunch at the University
13:15 - 14:15	Claude Le Bris (ENPC - CERMICS, France) Various stochastic models for microstructures, and their macroscopic
14:15 - 15:15	Pingbing Ming (Chinese Academy of Sciences, China) Cauchy-Born rule, Crystal Stability and Instability

09:00 - 10:00	Roman Kotecký (University of Warwick, United Kingdom) Phase transitions for gradient models
10:00 - 11:00	Michael Marder (University of Texas at Austin, USA) Shock Wave Theory for Rupture of Rubber
11:00 - 11:30	Break
11:30 - 12:30	Johannes Zimmer (University of Bath, United Kingdom) On travelling waves in discrete models of elasticity
12:30 - 14:00	Lunch
14:00 - 15:00	Stefan Müller (MPI MIS Leipzig, Germany) The Cauchy-Born rule
15:00 - 16:00	Bernd Schmidt (MPI MIS Leipzig) Effective behavior of atomistically thin films
19:00 - 20:00	Joint Dinner

09:00 - 10:00	Errico Presutti (Università degli Studi di Roma Tor Vergata, Italy) phase transitions for continuous particle systems induced by magnetic forces
10:00 - 11:00	Gero Friesecke (TU Münschen, Germany) Minimum energy configurations of classical charges in the potential of an atomic nucleus: Large N asymptotics This problem offers a simple setting in which some aspects of the notorious many-body Coulomb interaction can be understood using relatively `easy' analysis. These aspects -- such as "screening" -- are of fundamental importance in ion physics and quantum chemistry, but previous mathematical analysis (which I will briefly review) has been somewhat heavy going. The key observation is that the problem has an interesting and explicit Gamma limit as N tends to infinity, which may be viewed as a classical analogue of Thomas-Fermi theory. From this one infers, among other things, an angular equidistribution law, a radial condensation law, and asymptotic neutrality of the crossover point from attainment to nonattainment (recovering a result by Lieb, Loss, Sigal, and Solovej). The methods are hoped to be applicable to much more general many-body Coulomb systems, including quantum mechanical ones. Joint work with Stephane Capet (Munich/Warwick).
11:00 - 11:30	Coffee break
11:30 - 12:30	Lev Truskinovsky (École Polytechnique, France) Dissipation in non-dissipative models

Participants

Thomas Blesgen

MPI MIS Leipzig

Gero Friesecke

TU Münschen

Tadahisa Funaki

University of Tokyo

Ben Goddard

University of Warwick

Roman Kotecký

University of Warwick

Claude Le Bris

ENPC - CERMICS

Michael Marder

University of Texas at Austin

Christian Mendl

TU München

Pingbing Ming

Chinese Academy of Sciences

Stefan Müller

MPI MIS Leipzig

Oliver Penrose

Heriot-Watt University

Errico Presutti

Università degli Studi di Roma Tor Vergata

Bernd Schmidt

MPI MIS Leipzig

Lev Truskinovsky

École Polytechnique

Johannes Zimmer

University of Bath

Organizers

Nicolas Dirr

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Stephan Luckhaus

Universität Leipzig

Stefan Müller

Max Planck Institute for Mathematics in the Sciences

Administrative Contact

Katja Bieling

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Stochastic and atomistic aspects of elasticity

Links

Program

Participants

Thomas Blesgen

Gero Friesecke

Tadahisa Funaki

Ben Goddard

Roman Kotecký

Claude Le Bris

Michael Marder

Christian Mendl

Pingbing Ming

Stefan Müller

Oliver Penrose

Errico Presutti

Bernd Schmidt

Lev Truskinovsky

Johannes Zimmer

Organizers

Nicolas Dirr

Stephan Luckhaus

Stefan Müller

Administrative Contact

Katja Bieling