京大工学部８号館共同６講義室(３階北側)

Julien Barré(Nice-Sophia Antipolis University, France)

『Rigidity percolation: some insights from exactly solvable models』

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)

Last modified: Fri May 21 15:54:09 2010