2014/03/31 by Andrew Lucas, Piotr Surówka · 46 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Compressibility #Epistemology #Mechanics #Parity (physics) #Phenomenology (philosophy) #Philosophy #Physics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #R-parity #Supersymmetry #Theoretical physics #cond-mat.mes-hall #hep-th #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.90.063005
published in Physical Review E 90(6), 063005 (American Physical Society) · v2: expanded and published version. 33 pages, 9 figures
arxiv created 2014/12/09 · openalex publication_date 2014/12/09 · arxiv updated 2014/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Parity-violating fluids in two spatial dimensions can appear in a variety of contexts such as liquid crystal films, anyon fluids, and quantum Hall fluids. Nonetheless, the consequences of parity violation on the solutions to the equations of motion are largely unexplored. In this paper, we explore phenomenological consequences of parity violation through simple, illustrative examples. Although incompressible velocity fields are essentially unchanged by parity violation, we discuss examples where parity violation plays a role at boundaries, or in the dynamics of temperature. We then discuss types of compressible flows which only exist in a parity-violating fluid, including sound waves, and solitons in the dissipationless limit. We conclude with a discussion of some curious features in Rayleigh-Bénard convection of a parity-violating fluid.