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The Madelung equations offer a hydrodynamic description of quantum systems, from single particles to quantum fluids. In this formulation, the probability density is mapped onto the fluid density and the phase is treated as a scalar…

Fluid Dynamics · Physics 2026-04-20 Christopher Triola

The shear viscosity has been shown to be equal to the product of pressure and relaxation time in normal scale-invariant fluids, but the presence of superfluidity at low temperatures can alter the relation. By using the mean-field…

Quantum Gases · Physics 2017-04-03 Hao Guo , Weimin Cai , Yan He , Chih-Chun Chien

At low temperature, a normal gas of unpaired spin-1/2 fermions is one of the cleanest realizations of a Fermi liquid. It is described by Landau's theory, where no phenomenological parameters are needed as the quasiparticle interaction…

Quantum Gases · Physics 2025-09-03 Thomas Repplinger , Songtao Huang , Yunpeng Ji , Nir Navon , Hadrien Kurkjian

Superfluids support many different types of sound waves. We investigate the relation between the sound waves in a relativistic and a non-relativistic superfluid by using hydrodynamics to calculate the various sound speeds. Then, using a…

High Energy Physics - Theory · Physics 2013-05-29 Christopher P. Herzog , Amos Yarom

The relativistic kinetic theory of the phonon gas in superfluids is developed. The technique of the derivation of macroscopic balance equations from microscopic equations of motion for individual particles is applied to an ensemble of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir Popov

Hydrodynamic fluctuations in simple fluids under shear flow are demonstrated to be spatially correlated, in contrast to the fluctuations at equilibrium, using mesoscopic hydrodynamic simulations. The simulation results for the equal-time…

Soft Condensed Matter · Physics 2024-06-03 Anoop Varghese , Gerhard Gompper , Roland G. Winkler

The second derivative of the luminosity distance with respect to the redshift is written in terms of the deceleration parameter $q_0$. We point out that the third derivative contains the information regarding the sound speed of cosmic…

Astrophysics · Physics 2009-10-30 Takeshi Chiba , Takashi Nakamura

We show that long-time, long-distance fluctuations of plane-symmetric horizons exhibit universal hydrodynamic behavior. By considering classical fluctuations around black-brane backgrounds, we find both diffusive and shear modes. The…

High Energy Physics - Theory · Physics 2011-05-05 Pavel Kovtun , Dam T. Son , Andrei O. Starinets

In order to describe behavior of various liquid-like materials at high pressures, incompressible fluid models with pressure dependent viscosity seem to be a suitable choice. In the context of implicit constitutive relations involving the…

Analysis of PDEs · Mathematics 2010-04-08 Miroslav Bulíček , Mohamed Majdoub , Josef Málek

In this work we study the relativistic mechanics of continuous media on a fundamental level using a manifestly covariant proper time procedure. We formulate equations of motion and continuity (and constitutive equations) that are the…

Fluid Dynamics · Physics 2022-10-12 S. Sklarz , L. P. Horwitz

A mathematical duality exists between massless scalar fields and relativistic fluids governed by an ultrastiff equation of state, in which the pressure equals the mass-energy density, and the sound speed equals $c$. This duality entails…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Lorenzo Gavassino

Water keeps puzzling scientists because of its numerous properties which behave oppositely to usual liquids: for instance, water expands upon cooling, and liquid water is denser than ice. To explain this anomalous behaviour, several…

High-resolution, inelastic x-ray scattering measurements of the dynamic structure factor S(Q,\omega) of liquid water have been performed for wave vectors Q between 4 and 30 nm^-1 in distinctly different thermodynamic conditions (T= 263 -…

Disordered Systems and Neural Networks · Physics 2009-11-11 E. Pontecorvo , M. Krisch , A. Cunsolo , G. Monaco , A. Mermet , R. Verbeni , F. Sette , G. Ruocco

We consider 2d QFTs as relevant deformations of CFTs in the thermodynamic limit. Using causality and KPZ universality, we place a lower bound on the timescale characterizing the onset of hydrodynamics. The bound is determined parametrically…

High Energy Physics - Theory · Physics 2022-04-20 Luca V. Delacretaz , A. Liam Fitzpatrick , Emanuel Katz , Matthew T. Walters

The open problem of derivation of the relativistic Vlasov equation for the systems of charged particles moving with the velocities up to the speed of light and creating the electromagnetic field in accordance with the full set of the…

Plasma Physics · Physics 2022-04-26 Pavel A. Andreev

In the previous companion paper, we proposed a subclass of wavefunctions to describe macroscopic solids that resolved and extended the theory quantum measurement and gave a more specific treatment of quasiparticles. Here we extend these…

Quantum Physics · Physics 2013-09-05 Clifford E Chafin

We present a simple approach to extract hydrodynamic sound modes and non-hydrodynamic modes in kinetic theories from response functions of the energy-momentum tensor. By comparing the response functions in four types of kinetic theories,…

High Energy Physics - Phenomenology · Physics 2023-07-19 Xiaojian Du , Stephan Ochsenfeld , Sören Schlichting

Bounds on transport represent a way of understanding allowable regimes of quantum and classical dynamics. Numerous such bounds have been proposed, either for classes of theories or (by using general arguments) universally for all theories.…

High Energy Physics - Theory · Physics 2021-02-05 Sašo Grozdanov

Eighty years ago Eyring proposed that the shear viscosity of a liquid, $\eta$, has a quantum limit $\eta \gtrsim n\hbar$ where $n$ is the density of the fluid. Using holographic duality and the AdS/CFT correspondence in string theory…

Strongly Correlated Electrons · Physics 2015-09-30 Nandan Pakhira , Ross H. McKenzie

Hydrodynamics is a universal effective theory describing relaxation of quantum field theories towards equilibrium. Massive QFTs in de Sitter spacetime are never at equilibrium. We use holographic gauge theory/gravity correspondence to…

High Energy Physics - Theory · Physics 2017-07-05 Alex Buchel