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Carroll hydrodynamics arises in the $c\to 0$ limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the…

高能物理 - 理论 · 物理学 2026-01-13 Kedar S. Kolekar , Taniya Mandal , Ashish Shukla , Pushkar Soni

We propose a stable first-order relativistic dissipative hydrodynamic equation in the particle frame (Eckart frame) for the first time. The equation to be proposed was in fact previously derived by the authors and a collaborator from the…

核理论 · 物理学 2008-11-26 Kyosuke Tsumura , Teiji Kunihiro

We investigate the stability and causality of relativistic spin hydrodynamics in the presence of a nonvanishing spin-density background, assuming that the spin chemical potential enters at leading order, $\omega^{\mu\nu}\sim\mathcal{O}(1)$,…

高能物理 - 唯象学 · 物理学 2026-03-24 Wei Lu , Yang Zhong , Sheng-Qin Feng

A Rayleigh-Taylor-like instability of a dense colloidal layer under gravity in a capillary of microfluidic dimensions is considered. We access all relevant lengthscales with particle-level microscopy and computer simulations which…

In the context of event-by-event hydrodynamic description, we analyze the implications of two models characterized by distinct initial conditions. The initial energy density of the first model adopts a Gaussian-type distribution, while…

核理论 · 物理学 2020-04-02 Dan Wen , Kai Lin , Wei-Liang Qian , Bin Wang , Yogiro Hama , Takeshi Kodama

We perform the linear analysis of causality and stability for a minimal extended spin hydrodynamics up to second order of the gradient expansion. The first order spin hydrodynamics, with a rank-3 spin tensor being antisymmetric for only the…

高能物理 - 唯象学 · 物理学 2023-11-23 Xin-Qing Xie , Dong-Lin Wang , Chen Yang , Shi Pu

There has been recent progress in developing well-posed theories of relativistic viscous hydrodynamics and of gravitational effective field theories. These have in common the feature that they introduce unphysical degrees of freedom. We…

广义相对论与量子宇宙学 · 物理学 2026-02-17 Lorenzo Gavassino , Áron D. Kovács , Harvey S. Reall

In this paper, we show that the quasi-one-dimensional flow of an ideal inviscid fluid in a corrugated pipe is parametrically unstable in certain frequency bands. First-order perturbation theory is used to analyze the stability of the flow,…

流体动力学 · 物理学 2021-02-09 Nikita V. Bykov

In the hydrodynamic regime, field theories typically have their boost symmetry spontaneously broken due to the presence of a thermal rest frame although the associated Goldstone field does not acquire independent dynamics. We show that this…

高能物理 - 理论 · 物理学 2024-04-18 Jay Armas , Emil Have

The post-Newtonian (PN) approximation, based on the assumptions of weak gravitational fields and slow motions, provides a way to estimate general relativistic effects in the fully nonlinear evolution stage of the large-scale cosmic…

天体物理学 · 物理学 2011-03-28 Jai-chan Hwang , Hyerim Noh , Dirk Puetzfeld

Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelastic fluids are unstable in situations where ordinary…

This work studies the hydrodynamics of self-gravitating compressible isothermal fluids. We show that the hydrodynamic evolution equations in absence of viscosity are scale covariant. We study the evolution of the time dependent fluctuations…

天体物理学 · 物理学 2009-10-31 B. Semelin , N. Sanchez , H. J. de Vega

The fluid-gravity correspondence is a duality between anti-de Sitter Einstein gravity and a relativistic fluid living at the conformal boundary. We show that one can accommodate the causal first-order viscous hydrodynamics recently…

高能物理 - 理论 · 物理学 2024-01-18 Luca Ciambelli , Luis Lehner

In this paper we derive a new first-order theory of relativistic dissipative fluids by adopting the trace-fixed particle frame. Whereas in a companion letter we show that this theory is hyperbolic, causal and stable at global equilibrium…

广义相对论与量子宇宙学 · 物理学 2025-04-30 J. Félix Salazar , Ana Laura García-Perciante , Olivier Sarbach

Hydrodynamics can be formulated as the gradient expansion of conserved currents in terms of the fundamental fields describing the near-equilibrium fluid flow. In the relativistic case, the Navier-Stokes equations follow from the…

高能物理 - 理论 · 物理学 2017-10-06 Sašo Grozdanov , Nikolaos Kaplis

This dissertation is about the study of three important issues in the theory of relativistic fluid dynamics: the stability of dissipative fluid dynamics, the shear viscosity, and fluid dynamics with triangle anomaly.(1)The second order…

高能物理 - 唯象学 · 物理学 2011-08-31 Shi Pu

First order perturbations of homogeneous and hypersurface orthogonal LRS (Locally Rotationally Symmetric) class II cosmologies with a cosmological constant are considered in the framework of the 1+1+2 covariant decomposition of spacetime.…

广义相对论与量子宇宙学 · 物理学 2019-12-25 Robin Törnkvist , Michael Bradley

The dynamic world model and its linear perturbations were first studied in Einstein's gravity. In the system without pressure the relativistic equations coincide exactly with the later known ones in Newton's gravity. Here we prove that,…

广义相对论与量子宇宙学 · 物理学 2009-11-10 J. Hwang , H. Noh

In recent years the equations of relativistic first-order viscous hydrodynamics, that is, the relativistic version of Navier-Stokes, have been shown to be well posed and causal under appropriate field redefinitions, also known as…

高能物理 - 理论 · 物理学 2023-12-29 Yago Bea , Pau Figueras

This paper shows nonlinear stability of homogeneous states in second-order hyperbolic systems of partial differential equations that model the dynamics of dissipative relativistic fluids, by checking a dissipativity criterion formulated…

偏微分方程分析 · 数学 2025-04-25 Heinrich Freistuhler , Matthias Sroczinski