Micromechanisms of kinking in rigid-rod polymer fibres

Modularity of fibres in rigid local systems

ρ : GK −→ GL2(E), where E is either a finite field of characteristic l or a finite extension of Ql. Assume that the restrictions of ρ to the inertia groups at the primes of K above l are potentially semistable in the sense of [FM]. The representation ρ is called modular if it is associated to a Hilbert modular form on GL2(K), as is explained, for example, in [W1] and [W2]. Fontaine and Mazur [F...

Microscopic-Macroscopic Simulations of Rigid-Rod Polymer Hydrodynamics: Heterogeneity and Rheochaos

Rheochaos is a remarkable phenomenon of nematic (rigid-rod) polymers in steady shear, with sustained chaotic fluctuations of the orientational distribution of the rod ensemble. For monodomain dynamics, imposing spatial homogeneity and linear shear, rheochaos is a hallmark prediction of the Doi–Hess theory [M. Doi, J. Polym. Sci. Polym. Phys. Ed., 19 (1981), pp. 229–243; M. Doi and S. F. Edwards...

Rigid polymer network models

2014 A model is presented for the elasticity of networks composed of rigid chains. The elastic modulus as a function of polymer volume fraction is determined for two cases : (a) the chains are rigidly crosslinked to each other i.e. the network may only deform by bending the chains (energetic network) and, (b) the chains are allowed to rotate freely about the crosslink points so that there is en...

Poly(iminomethylenes): Rigid Rod Helical Polymers

Poly(iminomethylenes): Rigid Rod Helical Polymers