Vector Nematodynamics with Symmetry-driven Energy Exchange

L. M. Pismen

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arXiv · 2510.24177

Vector Nematodynamics with Symmetry-driven Energy Exchange

L. M. Pismen

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Abstract

We review inadequacy of existing nematodynamic theories and suggest a novel way of establishing relations between nematic orientation and flow based on the \emph{local} symmetry between simultaneous rotation of nematic alignment and flow, which establishes energy exchange between the the two without reducing the problem to near-equilibrium conditions and invoking Onsager's relations. This approach, applied in the framework of the vector-based theory with a variable modulus, involves antisymmetric interactions between nematic alignment and flow and avoids spurious instabilities in the absence of an active inputs.

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L. M. Pismen. 2025-10-28. Vector Nematodynamics with Symmetry-driven Energy Exchange. https://arxiv.org/abs/2510.24177

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