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We study causal hydrodynamics (Israel-Stewart theory) of gauge theory plasmas from the AdS/CFT duality. Causal hydrodynamics requires new transport coefficients (relaxation times) and we compute them for a number of supersymmetric gauge…

High Energy Physics - Theory · Physics 2014-11-18 Makoto Natsuume , Takashi Okamura

In this work, the equations of dissipative relativistic spin hydrodynamics based on quantum kinetic theory are derived. Employing the inverse-Reynolds dominance (IReD) approach, a resummation scheme based on a power counting in Knudsen and…

Nuclear Theory · Physics 2026-02-24 David Wagner

Causality is necessary for retarded Green's functions to remain retarded in all inertial frames in relativity, which ensures that dissipation of fluctuations is a Lorentz invariant concept. For first-order BDNK theories with stochastic…

High Energy Physics - Theory · Physics 2023-09-04 Nicki Mullins , Mauricio Hippert , Lorenzo Gavassino , Jorge Noronha

We study the one-dimensional boost-invariant Boltzmann equation in the relaxation-time approximation using special moments of the distribution function for a system with a finite particle mass. The infinite hierarchy of moments can be…

Nuclear Theory · Physics 2022-11-08 Sunil Jaiswal , Jean-Paul Blaizot , Rajeev S. Bhalerao , Zenan Chen , Amaresh Jaiswal , Li Yan

Using the Zubarev's nonequilibrium statistical operator formalism, we derive the second-order expression for the dissipative tensors in relativistic spin hydrodynamics, {\em viz.} rotational stress tensor ($\tau_{\mu\nu}$), boost heat…

High Energy Physics - Theory · Physics 2025-08-26 Abhishek Tiwari , Binoy Krishna Patra

We derive relativistic hydrodynamic equations with a dynamical spin degree of freedom on the basis of an entropy-current analysis. The first and second laws of local thermodynamics constrain possible structures of the constitutive relations…

High Energy Physics - Theory · Physics 2019-07-03 Koichi Hattori , Masaru Hongo , Xu-Guang Huang , Mamoru Matsuo , Hidetoshi Taya

In this work, the causality and stability of a first-order relativistic dissipative hydrodynamic theory, that redefines the hydrodynamic fields from a first principle microscopic estimation, have been analyzed. A generic approach of…

Nuclear Theory · Physics 2022-06-08 Sukanya Mitra

We revisit the canonical formulation of spin hydrodynamics for Dirac fermions with a general thermal vorticity. The orders of the general thermal vorticity and the corresponding spin variables are considered independently from those of the…

Nuclear Theory · Physics 2024-10-11 Lixin Yang , Li Yan

The causality and stability of a relativistic hydrodynamic theory is shown to require a consensus between, either (i) newer degrees of freedom apart from the fundamental fluid fields, or (ii) a general hydrodynamic frame other than the…

Nuclear Theory · Physics 2025-08-25 Sukanya Mitra

In this work, it has been indicated that the key features requisite for preserving causality and stability of the popularly existing relativistic hydrodynamic theories, can be translated into each other. It has been shown here, that a…

Nuclear Theory · Physics 2024-08-29 Sayantani Bhattacharyya , Sukanya Mitra , Shuvayu Roy

Using the extended relaxation time approximation (ERTA) along with the theory of semi-classical spin, we develop a framework of relativistic dissipative spin hydrodynamics such that the relaxation time can depend on the momenta and spin of…

High Energy Physics - Phenomenology · Physics 2024-08-27 Samapan Bhadury

The causal-stable Muller-Israel-Stewart (MIS) theory is known to have a finite number of out of equilibrium derivative order corrections but requires treating the viscosity tensor as a separate degree of freedom with its own equations of…

General Relativity and Quantum Cosmology · Physics 2024-05-22 Sukanya Mitra

A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity. Focusing on neutral conformal fluids constructed solely in terms of hydrodynamic variables, we derive…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

We derive the second-order dissipative relativistic hydrodynamic equations in a generic frame with a continuous parameter from the relativistic Boltzmann equation. We present explicitly the relaxation terms in the energy and particle…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kyosuke Tsumura , Teiji Kunihiro

Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents) that is first-order in the derivatives of…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

In this paper, we develop a stable and fast numerical scheme for relativistic dissipative hydrodynamics based on Israel-Stewart theory. Israel-Stewart theory is a stable and causal description of dissipation in relativistic hydrodynamics…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Makoto Takamoto , Shu-ichiro Inutsuka

We derive the second order hydrodynamic equations for the relativistic system of multi-components with multiple conserved currents by generalizing the Israel-Stewart theory and Grad's moment method. We find that, in addition to the…

Nuclear Theory · Physics 2011-02-25 Akihiko Monnai , Tetsufumi Hirano

We derive a formulation of relativistic spin hydrodynamics with totally antisymmetric spin tensors that satisfy the Frenkel-Mathisson-Pirani condition. In our proposed spin hydrodynamics, the second law of thermodynamics is fulfilled by the…

Nuclear Theory · Physics 2025-06-27 Shuo Fang , Kenji Fukushima , Shi Pu , Dong-Lin Wang

Boost-invariant equations of spin hydrodynamics confined to the first-order terms in gradients are numerically solved. The spin equation of state, relating the spin density tensor to the spin chemical potential, is consistently included in…

Nuclear Theory · Physics 2023-05-31 Rajesh Biswas , Asaad Daher , Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski

We obtain stability criteria for diffusive inviscid multicomponent Israel-Stewart hydrodynamics with and without background or dynamic electromagnetic fields. Our analysis is grounded on the maximum entropy principle, and it provides…

Nuclear Theory · Physics 2023-11-22 Lorenzo Gavassino , Masoud Shokri