Colloquium

Colloquium
Julien Barre Nice-Sophia Antipolis University, France 3月12日(金) 13時00分 Rigidity theory considers ensembles of balls connected by rigid rods which constrain the displacements of the balls. Depending on the number of rods, the system may be floppy or rigid, and the two phases are separated by a percolation-like transition. Beyond mechanical systems, this idea has been used for instance to model network forming glasses and proteins. In this talk, we will first present the basis of rigidity theory and some open problems in the field. We will then show how the study of some exactly solvable models may shed light on these problems. We will in particular be interested in models on random graphs, which will be dealt with using the so-called "cavity method", and models on hierarchical graphs, for which we will use a renormalization approach. Collaborators: Avadh Saxena, Turab Lookman, Alan Bishop (Los Alamos, USA); Olivier Rivoire (Rockefeller University, USA)

Julien Barre

Nice-Sophia Antipolis University, France

3月12日(金) 13時00分

Rigidity theory considers ensembles of balls connected by rigid rods which constrain the displacements of the balls. Depending on the number of rods, the system may be floppy or rigid, and the two phases are separated by a percolation-like transition. Beyond mechanical systems, this idea has been used for instance to model network forming glasses and proteins. In this talk, we will first present the basis of rigidity theory and some open problems in the field. We will then show how the study of some exactly solvable models may shed light on these problems. We will in particular be interested in models on random graphs, which will be dealt with using the so-called "cavity method", and models on hierarchical graphs, for which we will use a renormalization approach.

Collaborators: Avadh Saxena, Turab Lookman, Alan Bishop (Los Alamos, USA); Olivier Rivoire (Rockefeller University, USA)