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We develop a molecular theory of the nonlinear elasticity of entangled polymer networks and gels that incorporates both strand rigidity and finite extensibility. Network strands are represented by Toeplitz chains of correlated Gaussian bonds, with the bond-correlation parameter determining the Kuhn length. A self-con...
We develop a Toeplitz matrix formulation of polymer statistics that provides a unified, analytically tractable description of flexible and semiflexible chains. Bond-vector correlations are encoded in a Toeplitz matrix, with a single parameter controlling the decay of orientational memory along the backbone. The bead-sp...
We use coarse-grained molecular dynamics simulations to investigate structural organization in melts of brush copolymers as a function of side-chain grafting density, backbone-side-chain miscibility, and backbone rigidity. At low grafting densities, decreasing miscibility drives microphase separation of backbones and...
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