Vector Nematodynamics with Symmetry-driven Energy Exchange
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908773932597248 |
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| author | Pismen, L. M. |
| author_facet | Pismen, L. M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vector Nematodynamics with Symmetry-driven Energy Exchange Pismen, L. M. Soft Condensed Matter Fluid Dynamics 76D05, 76E07, 76Z99, 70K20 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. |
| title | Vector Nematodynamics with Symmetry-driven Energy Exchange |
| topic | Soft Condensed Matter Fluid Dynamics 76D05, 76E07, 76Z99, 70K20 |
| url | https://arxiv.org/abs/2510.24177 |