Analytical response functions for a compressible thin fluid layer with odd viscosity
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917507263102976 |
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| author | Daddi-Moussa-Ider, Abdallah Hosaka, Yuto Komura, Shigeyuki |
| author_facet | Daddi-Moussa-Ider, Abdallah Hosaka, Yuto Komura, Shigeyuki |
| contents | Fluids composed of chiral active components can exhibit odd viscosity, a property that breaks time-reversal and parity symmetries. We investigate the hydrodynamic response to monopole and dipole singularities in a compressible thin fluid layer with odd viscosity, supported by a conventional lubrication layer. Using the two-dimensional Green's function in Fourier space, we derive exact analytical solutions for the flow and pressure fields. These solutions provide a detailed description of the hydrodynamic interactions governing the motion of colloidal particles and microswimmers in confined chiral fluids, offering insight into the role of odd viscosity in modifying particle dynamics and collective behavior. The derived results are directly applicable to modeling transport, control, and self-organization phenomena in active and chiral microfluidic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18136 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytical response functions for a compressible thin fluid layer with odd viscosity Daddi-Moussa-Ider, Abdallah Hosaka, Yuto Komura, Shigeyuki Soft Condensed Matter Fluid Dynamics Fluids composed of chiral active components can exhibit odd viscosity, a property that breaks time-reversal and parity symmetries. We investigate the hydrodynamic response to monopole and dipole singularities in a compressible thin fluid layer with odd viscosity, supported by a conventional lubrication layer. Using the two-dimensional Green's function in Fourier space, we derive exact analytical solutions for the flow and pressure fields. These solutions provide a detailed description of the hydrodynamic interactions governing the motion of colloidal particles and microswimmers in confined chiral fluids, offering insight into the role of odd viscosity in modifying particle dynamics and collective behavior. The derived results are directly applicable to modeling transport, control, and self-organization phenomena in active and chiral microfluidic systems. |
| title | Analytical response functions for a compressible thin fluid layer with odd viscosity |
| topic | Soft Condensed Matter Fluid Dynamics |
| url | https://arxiv.org/abs/2602.18136 |