Liquid relaxation: A new Parodi-like relation for nematic liquid crystals

Paolo Biscari, Antonio DiCarlo, and Stefano S. Turzi
Phys. Rev. E 93, 052704 – Published 20 May 2016

Abstract

We put forward a hydrodynamic theory of nematic liquid crystals that includes both anisotropic elasticity and dynamic relaxation. Liquid remodeling is encompassed through a continuous update of the shear-stress free configuration. The low-frequency limit of the dynamical theory reproduces the classical Ericksen-Leslie theory, but it predicts two independent identities between the six Leslie viscosity coefficients. One replicates Parodi's relation, while the other—which involves five Leslie viscosities in a nonlinear way—is new. We discuss its significance, and we test its validity against evidence from physical experiments, independent theoretical predictions, and molecular-dynamics simulations.

  • Figure
  • Received 6 October 2015

DOI:https://doi.org/10.1103/PhysRevE.93.052704

©2016 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

Paolo Biscari

  • Dipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

Antonio DiCarlo

  • CECAM-IT-SIMUL Node c/o Università Roma Tre, Via Madonna dei Monti 40, 00184 Roma, Italy

Stefano S. Turzi

  • Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

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Issue

Vol. 93, Iss. 5 — May 2016

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