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Inspired by recent experiments on graphene, we examine the non-dissipative viscoelastic response of anisotropic two-dimensional quantum systems. We pay particular attention to electron fluids with point group symmetries, and those with…

Mesoscale and Nanoscale Physics · Physics 2020-04-09 Pranav Rao , Barry Bradlyn

Hydrodynamic and viscous effects in electronic liquids are at the focus of much current research. Most intriguing is perhaps the non-dissipative Hall viscosity, which, due to its symmetry-protected topological nature, can help identify…

Strongly Correlated Electrons · Physics 2018-12-04 Roie Cohen , Moshe Goldstein

The discontinuity of guiding-center Hall viscosity (a bulk property) at edges of incompressible quantum Hall fluids is associated with the presence of an intrinsic electric dipole moment on the edge. If there is a gradient of drift velocity…

Strongly Correlated Electrons · Physics 2014-07-23 YeJe Park , F. D. M. Haldane

We consider the propagation of gravitational waves in the late-time Universe in the presence of matter distribution inhomogeneities, and we also consider the cosmic fluid to be viscous. In this work, we investigate the cumulative effect of…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Shashank Shekhar Pandey , Arnab Sarkar , Amna Ali , A. S. Majumdar

The (guiding-center) "Hall viscosity" is a fundamental tensor property of incompressible ``Hall fluids'' exhibiting the fractional quantum Hall effect; it determines the stress induced by a non-uniform electric field, and the intrinsic…

Strongly Correlated Electrons · Physics 2009-06-11 F. D. M. Haldane

The decay of homogeneous isotropic turbulence in a variable viscosity fluid with a viscosity ratio up to 15 is analyzed by means of highly resolved direct numerical simulations (DNS) at low Reynolds numbers. The question addressed by the…

Fluid Dynamics · Physics 2018-09-21 Michael Gauding , Luminita Danaila , Emilien Varea

Using direct numerical simulations of turbulent thermal convection for Rayleigh number ($\mathrm{Ra}$) between $10^6$ and $10^8$ and unit Prandtl number, we derive scaling relations for viscous dissipation in the bulk and in the boundary…

Fluid Dynamics · Physics 2018-04-09 Shashwat Bhattacharya , Ambrish Pandey , Abhishek Kumar , Mahendra K. Verma

When particulate suspensions are sheared, perturbations in the shear flows around the rigid particles increase the local energy dissipation, so that the viscosity of the suspension is effectively higher than that of the solvent. For bulk…

Soft Condensed Matter · Physics 2009-11-13 Mark L. Henle , Alex J. Levine

Hydro-kinetic theory of thermal fluctuations is applied to a non-conformal relativistic fluid. Solving the hydro-kinetic equations for an isotropically expanding background we find that hydrodynamic fluctuations give ultraviolet divergent…

Nuclear Theory · Physics 2018-08-21 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

In common fluids, viscosity is associated with dissipation. However, when time-reversal-symmetry is broken a new type of non-dissipative `viscosity' may emerge. Recent theories and experiments on classical 2D systems with active spinning…

Soft Condensed Matter · Physics 2021-07-28 Tomer Markovich , Tom C. Lubensky

We examine the interaction of two-dimensional solitary pulses on falling liquid films. We make use of the second-order model derived by Ruyer-Quil and Manneville [Eur. Phys. J. B 6, 277 (1998); Eur. Phys. J. B 15, 357 (2000); Phys. Fluids…

Fluid Dynamics · Physics 2013-10-02 Marc Pradas , Dmitri Tseluiko , Serafim Kalliadasis

Hall effect in high-mobility 2D mesoscopic samples with hydrodynamic electron transport is related to manifestation of non-dissipative Hall viscosity at classical magnetic fields. However, the latter can be obscured by the particular…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 A. A. Grigorev , A. N. Afanasiev

We consider the bilocal conductivity tensor, the two-probe conductance and its fluctuations for a disordered phase-coherent two-dimensional system of non-interacting electrons in the presence of a magnetic field, including correctly the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Shanhui Xiong , N. Read , A. Douglas Stone

Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional (2D) systems with broken time-reversal symmetry. In the classical regime, Hall viscosity contributes to the viscous flow of 2D electrons…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 G. M. Gusev , A. D. Levin , E. V. Levinson , A. K. Bakarov

We formulate a general framework to study the flow of the electron liquid in two dimensions past a random array of impenetrable obstacles in the presence of a magnetic field. We derive a linear-response formula for the resistivity tensor…

Mesoscale and Nanoscale Physics · Physics 2023-10-31 I. V. Gornyi , D. G. Polyakov

A major limitation of the weakly compressible approaches to simulate incompressible flows is the appearance of artificial acoustic waves that introduce a large mass conservation error and lead to spurious oscillations in the force…

Fluid Dynamics · Physics 2024-09-12 Dheeraj Raghunathan , Y. Sudhakar

We apply the geometric theory of swimming at low Reynolds number to the study of nearly circular swimmers in two-dimensional fluids with non-vanishing Hall, or "odd", viscosity. The Hall viscosity gives an off-diagonal contribution to the…

Soft Condensed Matter · Physics 2014-05-07 Matthew F. Lapa , Taylor L. Hughes

Thin fluid or elastic films and membranes are found in nature and technology, for instance, as confinements of living cells or in loudspeakers. When applying a net force, resulting flows in an unbounded two-dimensional incompressible…

Soft Condensed Matter · Physics 2022-11-29 Tyler Lutz , Sonja K. Richter , Andreas M. Menzel

The problem of gravitational fluctuations confined inside a finite cutoff at radius $r=r_c$ outside the horizon in a general class of black hole geometries is considered. Consistent boundary conditions at both the cutoff surface and the…

High Energy Physics - Theory · Physics 2011-09-30 Irene Bredberg , Cynthia Keeler , Vyacheslav Lysov , Andrew Strominger

Based on the previous paper arXiv:1207.5309, we investigate the possibility to find out the bulk viscosity of dual fluid at the finite cutoff surface via gravity/fluid correspondence in Einstein-Maxwell gravity. We find that if we adopt new…

High Energy Physics - Theory · Physics 2014-04-15 Ya-Peng Hu , Yu Tian , Xiao-Ning Wu
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