Regensburg 2007 – scientific programme

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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.