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A foundational question in relativistic fluid mechanics concerns the properties of the hydrodynamic gradient expansion at large orders. We establish the precise conditions under which this gradient expansion diverges for a broad class of…

高能物理 - 理论 · 物理学 2021-09-08 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Viktor Svensson , Benjamin Withers

Far-from-equilibrium kinetic systems collapse onto a hydrodynamic attractor, traditionally approximated by a gradient expansion. While temporal gradient series are non-Borel summable and require transseries completions, the analytic…

数学物理 · 物理学 2026-04-07 Mahdi Kooshkbaghi

How physical systems approach hydrodynamic behavior is governed by the decay of nonhydrodynamic modes. Here, we start from a relativistic kinetic theory that encodes relaxation mechanisms governed by different timescales thus sharing…

高能物理 - 唯象学 · 物理学 2017-12-13 Aleksi Kurkela , Urs Achim Wiedemann

We argue that an ensemble of backgrounds best understands hydrodynamic dispersion relations in a medium with few degrees of freedom and is therefore subject to strong thermal fluctuations. In the linearized regime, dispersion relations…

高能物理 - 理论 · 物理学 2024-08-23 Farid Taghinavaz , Giorgio Torrieri

A detailed analysis of the coupled relativistic kinetic equations for two domains separated by a hypersurface having both space- and time-like parts is presented. Integrating the derived set of transport equations, we obtain the correct…

核理论 · 物理学 2009-11-10 K. A. Bugaev

The success of relativistic hydrodynamics as an essential part of the phenomenological description of heavy-ion collisions at RHIC and the LHC has motivated a significant body of theoretical work concerning its fundamental aspects. Our…

高能物理 - 唯象学 · 物理学 2018-03-14 Wojciech Florkowski , Michal P. Heller , Michal Spalinski

We compute the dispersion relations for scalar, vector and tensor modes of a viscous relativistic fluid, linearized around an equilibrium solution, for a divergence type theory (which, in the linearized theory, includes Israel-Stewart and…

高能物理 - 唯象学 · 物理学 2021-11-17 Guillermo Perna , Esteban Calzetta

In this paper we emphasize some conceptual points related to the kinetic foundations of relativistic hydrodynamics. We summarize previous work and focus on the construction of the heat flux from a kinetic theory point of view. A thorough…

广义相对论与量子宇宙学 · 物理学 2014-11-18 A. L. Garcia-Perciante , A. Sandoval-Villalbazo

We study the mechanisms setting the radius of convergence of hydrodynamic dispersion relations in kinetic theory in the relaxation time approximation. This introduces a qualitatively new feature with respect to holography: a nonhydrodynamic…

高能物理 - 理论 · 物理学 2021-06-08 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Viktor Svensson , Benjamin Withers

With the help of a semi-classical kinetic theory, a new collision kernel is proposed, which simultaneously conserves the energy-momentum tensor and the spin tensor of a relativistic fluid of spin-1/2 particles irrespective of the frame and…

高能物理 - 唯象学 · 物理学 2025-03-12 Samapan Bhadury

Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

高能物理 - 理论 · 物理学 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

The equations of relativistic hydrodynamics are transformed so that steps forward in time preserves local simultaneity. In these variables, the space-time coordinates of neighboring points on the mesh are simultaneous according to co-moving…

核理论 · 物理学 2008-11-26 Scott Pratt

We explore the consequences of relativistic causality and covariant stability for short-wavelength dispersion relations in classical systems. For excitations described by a finite number of partial differential equations, as is the case in…

高能物理 - 理论 · 物理学 2024-02-29 Raphael E. Hoult , Pavel Kovtun

We derive relativistic dissipative spin hydrodynamics from kinetic theory featuring a nonlocal collision term using the method of moments. In this framework, the components of the spin tensor are dynamical variables which obey…

核理论 · 物理学 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk H. Rischke

We compute the linearised dispersion relations of shear waves, heat waves, and sound waves in relativistic ''matter+radiation'' fluids with grey absorption opacities. This is done by solving radiation hydrodynamics perturbatively in the…

高能天体物理现象 · 物理学 2025-01-22 Lorenzo Gavassino

We introduce and study a new class of kinetic equations, which arise in the description of nonequilibrium macroscopic dynamics of soliton gases with elastic collisions between solitons. These equations represent nonlinear…

可精确求解与可积系统 · 物理学 2010-09-17 G. A. El , A. M. Kamchatnov , M. V. Pavlov , S. A. Zykov

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…

等离子体物理 · 物理学 2022-04-26 Pavel A. Andreev

We derive the constitutive equations of causal relativistic dissipative hydrodynamics ($d$-hydrodynamics) from perfect nonextensive hydrodynamics ($q$-hydrodynamics) using the nonextensive/dissipative correspondence (NexDC) proposed by us…

核理论 · 物理学 2008-11-06 Takeshi Osada , Grzegorz Wilk

We derive equations of motion for dissipative spin hydrodynamics from kinetic theory up to first order in a gradient expansion. Choosing a specific form of the matching conditions, relating the change in the spin potential to the spin…

核理论 · 物理学 2023-09-25 Nora Weickgenannt

The relativistic kinetic equations for the two domains separated by the hypersurface with both space- and time-like parts are derived. The particle exchange between the domains separated by the time-like boundaries generates source terms…

核理论 · 物理学 2009-11-07 K. A. Bugaev
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