Polydomain structure and its origins in isotropic-genesis nematic elastomers
arXiv:1101.1323
Abstract
We address the physics of nematic liquid crystalline elastomers randomly crosslinked in the isotropic state. To do this, we construct a phenomenological effective replica Hamiltonian in terms of two order-parameter fields: one for the vulcanization, the other for nematic alignment. Using a Gaussian variational approach, we analyze both thermal and quenched fluctuations of the local nematic order, and find that, even for low temperatures, the macroscopically isotropic polydomain state is stabilized by the network heterogeneity. For sufficiently strong disorder and low enough temperature, our theory predicts unusual, short-range oscillatory structure in (i.e., anti-alignment of) the local nematic order. The present approach, which naturally takes into account the compliant, thermally fluctuating and heterogeneous features of elastomeric networks, can also be applied to other types of randomly crosslinked solids.
arXiv comment7 pages
References in corpus (13)
- Smectic Liquid Crystals in Random Environments
- Elasticity of Polydomain Liquid Crystal Elastomers
- Randomly Crosslinked Macromolecular Systems: Vulcanisation Transition to and Properties of the Amorphous Solid State
- Quasi-long-range order in nematics confined in random porous media
- Nematic-Isotropic Transition with Quenched Disorder
- Soft and non-soft structural transitions in disordered nematic networks
- Semi-soft Nematic Elastomers and Nematics in Crossed Electric and Magnetic Fields
- Isotropic-Nematic Transition in Liquid-Crystalline Elastomers: Lattice Model with Quenched Disorder
- Universality and its Origins at the Amorphous Solidification Transition
- Critical fluctuations and random-anisotropy glass transition in nematic elastomers
- Universal Elasticity and Fluctuations of Nematic Gels
- Nonlinear Elasticity, Fluctuations and Heterogeneity of Nematic Elastomers
- Elastic Effects in Disordered Nematic Networks