Nonlinear Constraints on Relativistic Fluids Far from Equilibrium

Bemfica, Fábio S.; Disconzi, Marcelo M.; Hoang, Vu; Noronha, Jorge; Radosz, Maria

doi:10.1103/physrevlett.126.222301

Cited by 74 publications

(51 citation statements)

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“…While we postpone the issue of deriving strict causality and, in turn, strong hyperbolicity conditions for the system presented here, our results might explain why previous approaches to resistive relativistic MHD (Palenzuela et al 2009;Dionysopoulou et al 2013;Ripperda et al 2019) have been found to be only weakly hyperbolic (Schoepe et al 2018). Further studies are clearly needed in this subject, especially given that only very recently the causal properties of Israel-Stewart-like theories (without electromagnetic field effects) have been understood in the nonlinear regime Bemfica et al (2019cBemfica et al ( , 2021.…”

Section: Discussionmentioning

confidence: 73%

“…(Eckart 1940) displaying issues with causality and stability Hiscock & Lindblom (1985). Designing schemes that are causal, stable, and strongly hyperbolic (well-posed) is a highly nontrivial feat even for purely viscous hydrodynamical descriptions, although those properties have been recently established in recent years (Bemfica et al 2018(Bemfica et al , 2019bBemfica et al 2019a;Bemfica et al 2021Bemfica et al , 2020a. On the other hand, magneto-hydrodynamic formulations can also face a number of shortcomings, including the lack of strong hyperbolicity (Schoepe et al 2018).…”

Section: Introductionmentioning

confidence: 99%

“…Bemfica et al (2018); Kovtun (2019); Bemfica et al (2019b); Hoult & Kovtun (2020); Bemfica et al (2020a) for a discussion of such choices and their properties and consequences. For instance, one can rigorously prove (Bemfica et al 2018(Bemfica et al , 2019bBemfica et al 2019a;Bemfica et al 2021Bemfica et al , 2020a that first-order viscous hydrodynamic theories can be causal and stable when constructed using general hydrodynamic frames. In this work it will be most natural to consider the Eckart frame.…”

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confidence: 99%

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Modeling general-relativistic plasmas with collisionless moments and dissipative two-fluid magnetohydrodynamics

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Noronha,

Philippov

2021

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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 relativistic transients, their fluid modeling is typically done using a number of (overly) simplifying assumptions, which do not hold in general. This is especially true when the mean free path in the plasma is large compared to the system size, and kinetic effects start to become important. Going beyond common approaches used in the literature, we describe a fully relativistic covariant 14-moment based two-fluid system appropriate for the study of electron-ion or electron-positron plasmas. This generalized Israel-Stewart-like system of equations of motion is obtained directly from the relativistic Boltzmann-Vlasov equation. Crucially, this new formulation can account for non-ideal effects, such as anisotropic pressures and heat fluxes, not present in previous formulations of two-fluid magnetohydrodynamics. We show that a relativistic two-fluid plasma can be recast as a single fluid coupled to electromagnetic fields with (potentially large) out-of-equilibrium corrections. In particular, we keep all electron degrees of freedom, which provide self-consistent evolution equations for electron temperature and momentum. The out-ofequilibrium corrections take the form of a collisional 14-moment closure previously described in the context of viscous single fluids. The equations outlined in this paper are able to capture the full two-fluid character of collisionless plasmas found in black hole accretion and flaring processes around compact objects, as well Braginskii-like two-fluid magnetohydrodynamics applicable to weakly collisional plasmas inside accretion disks. This new formulation will be instrumental in the construction of a large class of next-generation simulations of relativistic transient phenomena produced around black holes and neutron stars.

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Section: Discussionmentioning

confidence: 73%

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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Modeling general-relativistic plasmas with collisionless moments and dissipative two-fluid magnetohydrodynamics

Most,

Noronha,

Philippov

2021

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“…Combined with the standard conservation laws ∂ α T αβ = 0 and ∂ α J α = 0, one finds partial differential equations for Π, u, T , and µ. The MIS equations are hyperbolic provided the parameters and the variables of the theory satisfy certain constraints, though demonstrating hyperbolicity in the full non-linear theory is tricky, and was only accomplished recently [8].…”

Section: Introductionmentioning

confidence: 99%

Causal first-order hydrodynamics from kinetic theory and holography

Hoult,

Kovtun

2021

Preprint

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We show how causal relativistic Navier-Stokes equations arise from the relativistic Boltzmann equation: the causality is preserved via a judicious choice of the zero modes of the collision operator. A completely analogous procedure may be used to extract causal hydrodynamics from the fluid-gravity correspondence: again, causality of the hydrodynamic equations is preserved by a suitable choice of zero modes of the corresponding differential operators in the bulk. We give examples of zero modes which give rise to causal hydrodynamic equations for non-conformal fluids with a conserved U(1) global symmetry current.

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“…2. Essa visão longitudinal das colisões mostra o choque dos núcleos, assim como um período pré-termalização [3,4] onde temos o desconfinamento dos pártons. Assim que se atinge um estado de equilíbrio térmico, temos a formação da QGP, que se comporta como um fluido relativístico viscoso [5][6][7].…”

Section: Colisões De íOns Pesados E Qgpunclassified

Desenvolvendo um novo Modelo de Monte Carlo para colisões de íons pesados

Franco¹

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apoio e oportunidade de representar uma instituição histórica. Por todos os momentos de aprendizado, espaços cedidos para o desenvolvimento do conhecimento e para a confraternização com pessoas tão queridas, obrigado.Agradeço a Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) por fomentar esse trabalho e investir na evolução da pesquisa no nosso país. Esse estudo refere-se ao processo número 2019/04318-1.Agradeço principalmente a minha família e amigos, que sempre me apoiaram. Esse trabalho é resultado do constante suporte que recebi. Mesmo sem entenderem nada do que eu faço, estão sempre ao meu lado.Agradeço ao meu orientador Professor Doutor Matthew Luzum por toda sua liderança no desenvolvimento desse projeto, e meus estimados colegas de trabalho que foram fundamentais para a realização do mesmo.Muito obrigado a todos. ResumoNos primeiros estágios do nosso Universo, acredita-se que havia uma fase da matéria chamada Plasma de Quarks e Glúons (QGP, em inglês). Hoje, em aceleradores de partículas como o Relativistic Heavy Ion Collider (RHIC) e o Large Hadron Collider (LHC), os feixes de partículas são acelerados a velocidades tão expressivas que conseguimos recriar temperaturas suficientes para observarmos essa exótica fase da matéria. Em posse desses experimentos e de acordo com a Cromodinâmica Quântica (QCD, em inglês) que é a teoria que descreve o comportamento dos pártons, nessas temperaturas há um rompimento na estrutura hadrônica. Os quarks estão sempre confinados dentro dos hádrons, mas quando esta estrutura se rompe, eles podem interagir entre si formando uma espécie de fluido, e portanto a hidrodinâmica relativística pode explicar seu comportamento. Propõe-se, utilizando os avanços teóricos mais recentes, criar uma implementação computacional que possa gerar quaisquer dados estatísticos com flutuações correlacionadas. Particularmente, implementou-se o modelo estado-da-arte das condições iniciais de uma colisão de íons pesados, para que possa ser utilizado em simulações hidrodinâmicas. Esse código visa portanto gerar perfis de densidade de energia cujas flutuações evento-a-evento sejam correlacionadas.

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Nonlinear Constraints on Relativistic Fluids Far from Equilibrium

Cited by 74 publications

References 78 publications

Modeling general-relativistic plasmas with collisionless moments and dissipative two-fluid magnetohydrodynamics

Modeling general-relativistic plasmas with collisionless moments and dissipative two-fluid magnetohydrodynamics

Causal first-order hydrodynamics from kinetic theory and holography

Desenvolvendo um novo Modelo de Monte Carlo para colisões de íons pesados

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