Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914368664371200 |
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| author | Maire, Raphael Petrini, Alessandro Marconi, Umberto Marini Bettolo Caprini, Lorenzo |
| author_facet | Maire, Raphael Petrini, Alessandro Marconi, Umberto Marini Bettolo Caprini, Lorenzo |
| contents | Parity-odd transport is a central signature of chiral fluids, yet analytical predictions are sparse. Here, we introduce a minimal two-dimensional hard-disk gas in which chirality arises solely from a collision-induced transverse impulse. Motivated by granular spinners, collisions are dissipative and inject orbital angular momentum through a fixed tangential ``kick'' at contact. Starting from a Boltzmann-Enskog description, we derive nonlinear hydrodynamic equations for density, momentum, and temperature, and show that chirality generates an antisymmetric homogeneous stress corresponding to a nonzero torque density. In the dilute limit, a Chapman-Enskog expansion yields analytical predictions for transport coefficients, including odd viscosity, odd thermal conductivity, and odd self-diffusivity, in good agreement with numerical simulations. This minimal kinetic model can serve as a foundation for systematic coarse-graining of chiral fluids and as a tractable benchmark for gaining insight into odd transport across a broader class of chiral systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04273 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density Maire, Raphael Petrini, Alessandro Marconi, Umberto Marini Bettolo Caprini, Lorenzo Statistical Mechanics Soft Condensed Matter Parity-odd transport is a central signature of chiral fluids, yet analytical predictions are sparse. Here, we introduce a minimal two-dimensional hard-disk gas in which chirality arises solely from a collision-induced transverse impulse. Motivated by granular spinners, collisions are dissipative and inject orbital angular momentum through a fixed tangential ``kick'' at contact. Starting from a Boltzmann-Enskog description, we derive nonlinear hydrodynamic equations for density, momentum, and temperature, and show that chirality generates an antisymmetric homogeneous stress corresponding to a nonzero torque density. In the dilute limit, a Chapman-Enskog expansion yields analytical predictions for transport coefficients, including odd viscosity, odd thermal conductivity, and odd self-diffusivity, in good agreement with numerical simulations. This minimal kinetic model can serve as a foundation for systematic coarse-graining of chiral fluids and as a tractable benchmark for gaining insight into odd transport across a broader class of chiral systems. |
| title | Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2603.04273 |