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DY: Fachverband Dynamik und Statistische Physik
DY 29: Soft matter
DY 29.2: Talk
Thursday, March 29, 2007, 14:15–14:30, H3
Elasticity of randomly cross-linked particles — •Stephan Ulrich1, Annette Zippelius1, Xiaoming Mao2, and Paul Goldbart2 — 1Institut für Theoretische Physik, Georg-August-Univeristät Göttingen — 2Department of Physics, University of Illinois at Urbana-Champaign, USA
Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Landau-Wilson free energy S for arbitrary cross-link densities. Considering pure shear deformations, S takes the form of the elastic energy of an isotropic amorphous solid state, from which the shear modulus can be identified. It is found to be an universal quantity, not depending on any microscopic length-scales of the model.