Non-reciprocal response of a two-dimensional fluid with odd viscosity

Abstract

We discuss the linear hydrodynamic response of a two-dimensional active chiral compressible fluid with odd viscosity. The viscosity coefficient represents broken time-reversal and parity symmetries in the 2D fluid and characterizes the deviation of the system from a passive fluid. Taking into account the hydrodynamic coupling to the underlying bulk fluid, we obtain the odd viscosity-dependent mobility tensor, which is responsible for the non-reciprocal hydrodynamic response to a point force. Furthermore, we consider a finite-size disk moving laterally in the 2D fluid and demonstrate that the disk experiences a non-dissipative lift force in addition to the dissipative drag one.

arXiv comment12 pages, 7 figures

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• Symmetry-driven Phononic Metamaterials
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• Mesoscale simulation model for odd fluids
• A minimal model with stochastically broken reciprocity