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Related papers: Causality Bounds on Dissipative General-Relativist…

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We derive the leading dissipative corrections of holographic superfluids at finite temperature and chemical potential by employing our recently developed techniques to study dissipative effects in the hydrodynamic limit of holographic…

High Energy Physics - Theory · Physics 2022-11-30 Aristomenis Donos , Polydoros Kailidis

We propose a new concept of weak solution to the equations of compressible magnetohydrodynamics driven by large boundary data. The system of the underlying field equations is solvable globally in time in the out of equilibrium regime…

Analysis of PDEs · Mathematics 2023-04-04 Eduard Feireisl , Piotr Gwiazda , Young-Sam Kwon , Agnieszka Świerczewska-Gwiazda

We present the first numerical analysis of causal, stable first-order relativistic hydrodynamics with ideal gas microphysics, based in the formalism developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK theory). The BDNK approach…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Alex Pandya , Elias R. Most , Frans Pretorius

The general-relativistic (GR) magnetohydrodynamic (MHD) equations for a conductive plasma fluid are derived and discussed in the curved spacetime described by Thorne's metric tensor, i.e., a family of cosmological models with inherent…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Kostas Kleidis , Apostolos Kuiroukidis , Demetrios B. Papadopoulos

New constraints are found that must necessarily hold for Israel-Stewart-like theories of fluid dynamics to be causal far away from equilibrium. Conditions that are sufficient to ensure causality, local existence, and uniqueness of solutions…

High Energy Physics - Theory · Physics 2021-06-09 Fabio S. Bemfica , Marcelo M. Disconzi , Vu Hoang , Jorge Noronha , Maria Radosz

It was argued by Brigante et.al that the lower bound on the ratio of the shear viscosity to the entropy density in strongly coupled plasma is translated into microcausality violation in the dual gravitational description. Since transport…

High Energy Physics - Theory · Physics 2014-11-21 Alex Buchel , Sera Cremonini

We investigate the linearized stability and causality properties of relativistic viscous superfluid hydrodynamics. The Landau-Lifshitz-Clark-Putterman formulation for the theory of relativistic viscous superfluids suffers from the same…

High Energy Physics - Theory · Physics 2025-04-28 Raphael E. Hoult , Ashish Shukla

We study (3+1)D kinetic (Boltzmann-Vlasov) equations for relativistic plasma particles in a one-dimensionally expanding geometry motivated by ultrarelativistic heavy-ion collisions. We set up local equations in terms of Yang-Mills…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul Romatschke , Anton Rebhan

Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Despite the need to accurately capture the dynamics of these plasmas and the implications for…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Elias R. Most , Jorge Noronha , Alexander A. Philippov

The large-scale dynamics of plasmas is well described within the framework of magnetohydrodynamics (MHD). However, whenever the ion density of the plasma becomes sufficiently low, the Hall effect is likely to become important. The role of…

Solar and Stellar Astrophysics · Physics 2012-07-04 Cecilia Bejarano , Daniel Gómez , Axel Brandenburg

It is well known that the standard transport equations violate causality when gradients are large or when temporal variations are rapid. We derive a modified set of transport equations that satisfy causality. These equations are obtained…

Astrophysics · Physics 2009-10-22 Ramesh Narayan , Abraham Loeb , Pawan Kumar

We present global 3D MHD simulations of disks of gas and solids, aiming at developing models that can be used to study various scenarios of planet formation and planet-disk interaction in turbulent accretion disks. A second goal is to show…

Astrophysics · Physics 2009-11-13 W. Lyra , A. Johansen , H. Klahr , N. Piskunov

We study charged black hole solutions in 4-dimensional (4D) Einstein-Gauss-Bonnet-Maxwell theory to the linearized perturbation level. We first compute the shear viscosity to entropy density ratio. We then demonstrate how bulk causal…

High Energy Physics - Theory · Physics 2022-04-29 Xian-Hui Ge , Sang-Jin Sin

We study the chaotic properties of a turbulent conducting fluid using direct numerical simulation in the Eulerian frame. The maximal Lyapunov exponent is measured for simulations with varying Reynolds number and magnetic Prandtl number. We…

Fluid Dynamics · Physics 2019-05-22 Richard Ho , Arjun Berera , Daniel Clark

The non-perturbative curvature inhomogeneities induced by relativistic viscous fluids are not conserved in the large-scale limit. However when the bulk viscosity is a function of the total energy density of the plasma (or of the trace of…

High Energy Physics - Theory · Physics 2015-08-06 Massimo Giovannini

We describe a nonsmooth notion of globally hyperbolic, regular length metric spacetimes $(\mathrm{M},l)$. It is based on ideas of Kunzinger-S\"amann, but does not require Lipschitz continuity of causal curves. We study geodesics on…

Mathematical Physics · Physics 2024-01-29 Mathias Braun , Robert J. McCann

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov

In the paradigm of magnetic acceleration of relativistic outflows, a crucial point is identifying a viable mechanism to convert the Poynting flux into the kinetic energy of the plasma, and eventually into the observed radiation. Since the…

High Energy Astrophysical Phenomena · Physics 2018-08-29 Emanuele Sobacchi , Yuri E. Lyubarsky

This is essentially a survey paper in which we solve the global Cauchy problem on causal manifolds for hyperbolic systems of linear partial differential equations in the framework of hyperfunctions. Besides the classical Cauchy-Kowalevsky…

Analysis of PDEs · Mathematics 2015-06-15 Pierre Schapira

We explore theoretical uncertainties in the hydrodynamic description of relativistic heavy-ion collisions by examining the full non-linear causality conditions and quantifying the second-order transport coefficients' role on flow…

Nuclear Theory · Physics 2021-06-09 Cheng Chiu , Chun Shen