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

Autor(es)

Abanov, Alexander G. ^{[1, 2]} ; Monteiro, Gustavo M. ^[3]

Afiliação do(s) autor(es)

^[1] SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 - USA

^[2] SUNY Stony Brook, Simons Ctr Geometry & Phys, Stony Brook, NY 11794 - USA

^[3] Univ Estadual Campinas, Inst Fis Gleb Wataghin, UNICAMP, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physical Review Letters; v. 122, n. 15 APR 16 2019.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 16/13517-0 - Propriedades topológicas e de transporte em materiais quirais
• Beneficiário: Gustavo Machado Monteiro
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado