Free-Surface Variational Principle for an Incompressible Fluid with Odd Viscosity

Abanov, Alexander G.; Monteiro, Gustavo M.

doi:10.1103/PhysRevLett.122.154501

Free-Surface Variational Principle for an Incompressible Fluid with Odd Viscosity

Journal Article · Tue Apr 16 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.122.154501· OSTI ID:1596117

Abanov, Alexander G. ^[1]; Monteiro, Gustavo M. ^[2]

Stony Brook Univ., NY (United States); Stony Brook University
Univ. Estadual de Campinas (UNICAMP) (Brazil)

We present variational and Hamiltonian formulations of incompressible fluid dynamics with a free surface and nonvanishing odd viscosity. We show that within the variational principle the odd viscosity contribution corresponds to geometric boundary terms. These boundary terms modify Zakharov’s Poisson brackets and lead to a new type of boundary dynamics. The modified boundary conditions have a natural geometric interpretation describing an additional pressure at the free surface proportional to the angular velocity of the surface itself. These boundary conditions are believed to be universal since the proposed hydrodynamic action is fully determined by the symmetries of the system.

View Accepted Manuscript (DOE)

Research Organization:: Stony Brook Univ., NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0017662

OSTI ID:: 1596117

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 122; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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