Elasticity of entangled polymer loops: Olympic gels

Abstract

In this note we present a scaling theory for the elasticity of olympic gels, i.e., gels where the elasticity is a consequence of topology only. It is shown that two deformation regimes exist. The first is the non affine deformation regime where the free energy scales linear with the deformation. In the large (affine) deformation regime the free energy is shown to scale as $F\propto {\lambda }^{5/2}$ where $\lambda$ is the deformation ratio. Thus a highly non Hookian stress - strain relation is predicted.

latex, no figures, accepted in PRE Rapid Communication

References in corpus (1)

• Topological effects in ring polymers: A computer simulation study

Cited by in corpus (2)

• The Formation and Structure of Olympic Gels
• The direct link model for polymer rings as a topological field theory and the second topological moment in dense systems