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Several fluid systems are characterised by time reversal and parity breaking. Examples of such phenomena arise both in quantum and classical hydrodynamics. In these situations, the viscosity tensor, often dubbed ``odd viscosity'', becomes…

Analysis of PDEs · Mathematics 2022-11-30 Francesco Fanelli , Rafael Granero-Belinchón , Stefano Scrobogna

We consider a new variant of cosmological perturbation theory that has been designed specifically to include non-linear density contrasts on scales 100 Mpc, while still allowing for linear fluctuations on larger scales. This theory is used…

General Relativity and Quantum Cosmology · Physics 2019-04-08 Christopher S. Gallagher , Timothy Clifton

Topological phase transitions are typically characterized by abrupt changes in a quantized invariant. Here we report a contrasting paradigm in non-Hermitian parity-time symmetric systems, where the topological invariant remains conserved,…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 Kang Yang , Zhi Li , Peng Xue , Emil J. Bergholtz , Piet W. Brouwer

We introduce a theory of "odd viscodiffusive fluids," which exhibit three-dimensional odd transport phenomena through the coupling of viscous and diffusive transport. In these fluids, diffusive fluxes may arise from orthogonal velocity…

Soft Condensed Matter · Physics 2024-11-08 Alhad Deshpande , Cory Hargus , Karthik Shekhar , Kranthi K. Mandadapu

We use the field theory description of the fractional quantum Hall states to derive the universal response of these topological fluids to shear deformations and curvature of their background geometry, i.e. the Hall viscosity, the Wen-Zee…

Strongly Correlated Electrons · Physics 2014-10-01 Gil Young Cho , Yizhi You , Eduardo Fradkin

A stochastic Euler equation is proposed, describing the motion of a particle density, forced by the random action of virtual photons in vacuum. After time averaging, the Euler equation is reduced to the Reynolds equation, well studied in…

Quantum Physics · Physics 2019-05-09 Roumen Tsekov , Eyal Heifetz , Eliahu Cohen

Transport in strongly correlated fermions cannot be understood by fermionic quasiparticles alone. We present a theoretical framework for quantum transport that incorporates strong local correlations of fermion pairs. These contact…

Quantum Gases · Physics 2025-02-12 Tilman Enss

We consider an effective Lagrangian describing a fluid living on two-di\-men\-sio\-nal planes. The fluid self-interacts through a Chern-Simons vector potential, whose field strength is proportional to the density fluctuation. This effective…

Condensed Matter · Physics 2009-10-22 Pietro Donatis , Roberto Iengo

Some mathematical inconsistencies in the conventional form of Maxwell's equations extended by Lorentz for a single charge system are discussed. To surmount these in framework of Maxwellian theory, a novel convection displacement current is…

High Energy Physics - Theory · Physics 2015-06-26 Andrew E. Chubykalo , Roman Smirnov-Rueda

Analogue gravity offers an approach for testing the universality and robustness of quantum field theories in curved spacetimes and validating them using down-to-earth, laboratory-based experiments. Fluid interfaces are a promising framework…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Vitor S. Barroso , Cameron R. D. Bunney , Silke Weinfurtner

We propose a $\mathbb{U}(1) \times \mathbb{Z}_2$ effective gauge theory for vortices in a $p_x+ip_y$ superfluid in two dimensions. The combined gauge transformation binds $\mathbb{U}(1)$ and $\mathbb{Z}_2$ defects so that the total…

Superconductivity · Physics 2015-07-29 Daniel Ariad , Babak Seradjeh , Eytan Grosfeld

Relativistic Riemannian superfluid hydrodynamics used in general relativity to investigate superfluids in pulsars is extended to non-Riemannian background spacetime endowed with Cartan torsion. From the Gross-Pitaeviskii (GP) it is shown…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

We show that a charged fluid endowed with an internal spin degree of freedom naturally satisfies the Pauli equation for a nonrelativistic spin-1/2 particle, and that a collection of n such interacting fluids can be reformulated as an Euler…

Quantum Physics · Physics 2026-05-19 Naoki Sato , Michio Yamada

Odd fluids are a class of fluids characterized by non-zero antisymmetric transport coefficient tensors induced by broken time-reversal symmetry. In our previous work, a mesoscale simulation model for two-dimensional isotropic odd fluids was…

Soft Condensed Matter · Physics 2025-08-07 Yuxing Jiao , Mingcheng Yang

We derive effective actions for parity-violating fluids in both $(3+1)$ and $(2+1)$ dimensions, including those with anomalies. As a corollary we confirm the most general constitutive relations for such systems derived previously using…

High Energy Physics - Theory · Physics 2019-01-11 Paolo Glorioso , Hong Liu , Srivatsan Rajagopal

We consider the strongly coupled limit of conformal gauge theory plasmas with conserved U(1) charges which have a gravity dual. We show that, under mild restrictions, the second order transport coefficients of such theories satisfy a…

High Energy Physics - Theory · Physics 2009-12-10 Michael Haack , Amos Yarom

The existence of new transport phenomena associated to the presence of quantum anomalies has atracted very recently the attention of theorist. These transport coefficient have very interesting properties, for example, they do not…

High Energy Physics - Theory · Physics 2013-07-03 Francisco Pena-Benitez

We consider two-dimensional continuum fluids with odd viscosity under a chiral body force. The chiral body force makes the low-energy excitation spectrum of the fluids gapped, and the odd viscosity allows us to introduce the first Chern…

Soft Condensed Matter · Physics 2025-08-28 Keisuke Fujii , Yuto Ashida

We show how a Hall viscosity induced by a magnetic field can be generated in strongly coupled theories with a holographic dual. This is achieved by considering parity-breaking higher derivative terms in the gravity dual. These terms couple…

High Energy Physics - Theory · Physics 2019-10-02 Carlos Hoyos , Francisco Peña-Benitez , Piotr Witkowski

The equations for a self-similar solution of an inviscid incompressible fluid are mapped into an integral equation which hopefully can be solved by iteration. It is argued that the exponent of the similarity are ruled by Kelvin's theorem of…

Fluid Dynamics · Physics 2016-11-22 Yves Pomeau