Chiral active fluids: What can we learn from the total momentum?
- 14 July 2025
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 112 (3) , 035409
Abstract
Chiral active materials are those that break both time-reversal symmetry and parity microscopically. This is usually a result of the average rotation of the material's complex particles around their center-of-mass (c.m.), which drives the system far from equilibrium. In this paper we show that the nonvanishing spin angular momentum brings about a difference between the c.m. momentum and the total momentum, where the latter accounts for the momentum of all atoms that compose the complex rotating particles. This is in stark contrast to equilibrium fluids where the c.m. stress and the total momentum are essentially equivalent. In fact, we find that generally the c.m. dynamics are insufficient to describe the dynamics of a chiral active material. The total momentum, other than being experimentally accessible in simple rheological experiments, also imposes a constraint-its stress must be allowed to be written in a symmetric way. We find that this requirement imposes a relation between possible central-force interactions and spin-spin interactions, and constraints the amount of odd viscosities in the system to the well-known odd (Hall) viscosity and the odd pressure.Keywords
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Funding Information
- Israel Science Foundation (1356/22)
- United States-Israel Binational Science Foundation (2022/369)
- Materials Research Science and Engineering Center, Harvard University (DMR-1720530)
This publication has 52 references indexed in Scilit:
- Stokes flows in three-dimensional fluids with odd and parity-violating viscositiesJournal of Fluid Mechanics, 2022
- Complex collective dynamics of active torque-driven colloids at interfacesCurrent Opinion in Colloid & Interface Science, 2016
- Micromotors with asymmetric shape that efficiently convert light into work by thermocapillary effectsNature Communications, 2015
- Emergent vortices in populations of colloidal rollersNature Communications, 2015
- Active gel physicsNature Physics, 2015
- Emergence of macroscopic directed motion in populations of motile colloidsNature, 2013
- Hydrodynamics and phases of flocksAnnals of Physics, 2005
- Coherent collective precession of molecular rotors with chiral propellersNature Materials, 2003
- Odd ViscosityJournal of Statistical Physics, 1998
- Principles of Condensed Matter Physics1995