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A novel formulation of second-order relativistic viscous fluid dynamics based on the effective Boltzmann equation for quasi-particles with medium-dependent masses is briefly reviewed.~The evolution equations for the shear and bulk…

Nuclear Theory · Physics 2017-08-07 Radoslaw Ryblewski

In the present work, we derive a linearly stable and causal theory of relativistic third-order viscous hydrodynamics from the Boltzmann equation with relaxation-time approximation. We employ viscous correction to the distribution function…

High Energy Physics - Phenomenology · Physics 2024-05-30 Pushpa Panday , Amaresh Jaiswal , Binoy Krishna Patra

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…

High Energy Physics - Phenomenology · Physics 2011-08-31 Shi Pu

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 present a new derivation of Israel-Stewart-like relativistic second-order dissipative spin hydrodynamic equations using the entropy current approach. In our analysis, we consider a general energy-momentum tensor with symmetric and…

Nuclear Theory · Physics 2023-08-02 Rajesh Biswas , Asaad Daher , Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski

Starting with the relativistic Boltzmann equation where the collision term is generalized to include nonlocal effects via gradients of the phase-space distribution function, and using Grad's 14-moment approximation for the distribution…

Nuclear Theory · Physics 2013-05-23 Amaresh Jaiswal , Rajeev S. Bhalerao , Subrata Pal

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

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…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

When one considers a shock wave in the frame where the shock is at rest, on either side one has a steady flow which converges to equilibrium away from the shock. However, hydrodynamics is unable to describe this flow if the asymptotic…

Nuclear Theory · Physics 2022-03-14 Esteban Calzetta

Israel-Stewart theory is a causal, stable formulation of relativistic dissipative fluid dynamics. This theory has been shown to give a decent description of the dynamical behavior of a relativistic fluid in cases where shear stress becomes…

Nuclear Theory · Physics 2012-07-31 G. S. Denicol , H. Niemi , I. Bouras , E. Molnar , Z. Xu , D. H. Rischke , C. Greiner

We examine the capabilities of second-order Israel-Stewart-type hydrodynamics to capture the early-time behaviour of the quark-gluon plasma created in heavy-ion collisions. We point out that at very early times, the dynamics of the fireball…

Nuclear Theory · Physics 2025-01-08 Victor E. Ambruş , Sören Schlichting , Clemens Werthmann

We formulate the theory of first-order dissipative magnetohydrodynamics in an arbitrary hydrodynamic frame under the assumption of parity-invariance and discrete charge symmetry. We study the mode spectrum of Alfv\'en and magnetosonic waves…

High Energy Physics - Theory · Physics 2022-10-14 Jay Armas , Filippo Camilloni

We study relativistic hydrodynamics in the linear regime, based on Mori's projection operator method. In relativistic hydrodynamics, it is considered that ambiguity about the fluid velocity occurs from a choice of a local rest frame: the…

High Energy Physics - Phenomenology · Physics 2018-03-01 Yuki Minami , Yoshimasa Hidaka

Following the recently proposed stable and causal first-order relativistic hydrodynamics by Bemfica, Disconzi, and Noronha, we find the heat flow equation in the presence of gravity for a non-viscous fluid, which suffers heat dissipation.…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Bhera Ram , Bibhas Ranjan Majhi

We comprehensively study Galilean and Carrollian hydrodynamics on arbitrary backgrounds, in the presence of a matter/charge conserved current. For this purpose, we follow two distinct and complementary paths. The first is based on local…

High Energy Physics - Theory · Physics 2022-09-22 Anastasios C. Petkou , P. Marios Petropoulos , David Rivera Betancour , Konstantinos Siampos

Out-of-equilibrium effects may play an important role in the dynamics of neutron star mergers and in heavy-ion collisions. Bemfica, Disconzi, Noronha and Kovtun (BDNK) recently derived a causal, locally well-posed, and modally stable…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Abhishek Hegade K R , Justin L. Ripley , Nicolás Yunes

Non-conformal attractor behavior is studied by solving non-conformal second order viscous hydrodynamics with respect to boost-invariant plasmas. Numerical solutions of the relative decay rate of the enthalpy density, the inverse shear and…

Nuclear Theory · Physics 2022-03-14 Zenan Chen , Li Yan

We analyze the low- and high-momentum rest frame modes in the second-order spin hydrodynamics and check the asymptotic causality of the theory. A truncation scheme of the Israel-Stewart formalism derived in our earlier work is proposed that…

High Energy Physics - Phenomenology · Physics 2024-05-10 Asaad Daher , Wojciech Florkowski , Radoslaw Ryblewski , Farid Taghinavaz

Based on the conservation-dissipation formalism proposed by Zhu and collaborators we formulate a general version of the Israel-Stewart theory for relativistic fluid dynamics with bulk viscosity. Our generalization consists in allowing for a…

Analysis of PDEs · Mathematics 2022-03-14 Heiner Olbermann

After a brief account of the derivation of the first-order relativistic hydrodynamic equation as a construction of the invariant manifold of relativistic Boltzmann equation, we give a sketch of derivation of the second-order hydrodynamic…

Nuclear Theory · Physics 2015-06-05 Kyosuke Tsumura , Teiji Kunihiro
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