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    Simulations of electric-field-induced turbulence and negative viscosity in conductive nematic liquid crystals

    Hiroshi Orihara1,* and Tomoyuki Nagaya2

    • *Contact author: orihara164a@gmail.com

    Phys. Rev. E 112, 065406 – Published 1 December, 2025

    DOI: https://doi.org/10.1103/lf14-8dhh

    Abstract

    Experiments using a rotational rheometer have demonstrated that the apparent viscosity becomes negative under the electric-field-induced turbulent state of conductive nematic liquid crystals [Orihara et al., Phys. Rev. E 99, 012701 (2019); F. Kobayashi et al., Phys. Rev. E 101, 022702 (2020)]. When the upper rotating plate of the rheometer is left free, spontaneous rotation—that is, spontaneous shear flow—has also been observed. In this study, we reproduce these phenomena through three-dimensional simulations based on continuum theory. The simulations reveal characteristic velocity, director, and stress fields in the negative-viscosity state. Furthermore, they clarify the interplay between topological defects (disclinations) and space charges which drive the turbulence.

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