Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Colloquia Archive 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 P/T Colloquia 
 Kac Lectures 
 Kac Fellows 
 Dist. Quant. Lecture 
 Ulam Scholar 
 CNLS Fellowship Application 
 Student Program 
 Past Visitors 
 History of CNLS 
 Maps, Directions 
 CNLS Office 
Monday, April 08, 2013
3:00 PM - 4:00 PM
CNLS Conference Room (TA-3, Bldg 1690)


Rigidity Percolation and Jamming

Mike Thorpe
Arizona State and Oxford Universities

Rigidity percolation occurs when a rigid cluster first spans a sample. We review rigidity percolation on various lattices where the transition can be either first or second order. Maxwell counting (which ignores redundancy) does much better here than in other situations like connectivity percolation, because the number of redundant bonds are small at the transition, making the rigid backbone close to the isostatic point. We suggest a common language that focuses on the bond-number distribution at critically which is shown to be universal if properly scaled and includes jamming as a special case. We use an exactly soluble model (Cayley tree with a busbar) as a useful reference solution as it is solved for arbitrary degrees of freedom (g) and coordination (z).

Host: Lena Lopatina, T-1/CNLS