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We formulate dissipative magnetohydrodynamic equations for finite-temperature superfluid and superconducting charged relativistic mixtures, taking into account the effects of particle diffusion and possible presence of Feynman-Onsager…

High Energy Astrophysical Phenomena · Physics 2021-12-15 Vasiliy A. Dommes , Mikhail E. Gusakov

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev's non-equilibrium statistical-operator formalism. This is achieved by a systematic expansion of the energy-momentum tensor…

Nuclear Theory · Physics 2022-02-02 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

We study local spin polarization in the relativistic hydrodynamic model. Generalizing the Wigner functions previously obtained from chiral kinetic theory by Y. Hidaka et al. [Phys. Rev. D 97, 016004 (2018)] to the massive case, we present…

High Energy Physics - Phenomenology · Physics 2021-12-28 Cong Yi , Shi Pu , Di-Lun Yang

We develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics…

High Energy Physics - Theory · Physics 2017-01-30 Michael Crossley , Paolo Glorioso , Hong Liu

We use a first-principle quantum-statistical method to derive the expression of the entropy production rate in relativistic spin hydrodynamics. We show that the entropy current is not uniquely defined and can be changed by means of…

Nuclear Theory · Physics 2024-02-28 Francesco Becattini , Asaad Daher , Xin-Li Sheng

The dynamics of the fluid fields in a large class of causal dissipative fluid theories is studied. It is shown that the physical fluid states in these theories must relax (on a time scale that is characteristic of the microscopic particle…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Lee Lindblom

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…

High Energy Physics - Phenomenology · Physics 2021-11-17 Guillermo Perna , Esteban Calzetta

The hydrodynamic description of a superfluid is usually based on a two-fluid picture. In this thesis, basic properties of such a relativistic two-fluid system are derived from the underlying microscopic physics of a complex scalar quantum…

High Energy Physics - Phenomenology · Physics 2015-02-03 Stephan Stetina

This work is devoted to the study of dissipative fluid systems, through the lens of a geometric variational formulation. Building upon previous works extending Hamilton's principle to non-equilibrium thermodynamics, the present method…

Mathematical Physics · Physics 2026-04-07 Bastien Manach-Pérennou , François Gay-Balmaz

We develop a general formalism for introducing stochastic fluctuations around thermodynamic equilibrium which takes into account, for the first time, recent developments on the causality and stability properties of relativistic hydrodynamic…

Nuclear Theory · Physics 2023-06-16 Nicki Mullins , Mauricio Hippert , Jorge Noronha

We investigate the boost-invariant expansion of a recently developed first-order spin hydrodynamic framework in which the spin chemical potential is treated as a leading-order hydrodynamic variable. Considering a symmetric energy-momentum…

Nuclear Theory · Physics 2026-04-07 Sejal Singh , Sourav Dey , Arpan Das , Hiranmaya Mishra , Amaresh Jaiswal

Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment…

High Energy Physics - Theory · Physics 2021-12-22 Hao-Hao Peng , Jun-Jie Zhang , Xin-Li Sheng , Qun Wang

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…

General Relativity and Quantum Cosmology · Physics 2014-11-18 A. L. Garcia-Perciante , A. Sandoval-Villalbazo

We consider quantum mechanics written in hydrodynamic formulation for the case of relativistic spinor fields to study their velocity: within such a hydrodynamic formulation it is possible to see that the velocity as is usually defined can…

Quantum Physics · Physics 2023-05-15 Luca Fabbri

We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Koide , G. S. Denicol , Ph. Mota , T. Kodama

The relativistic fluid is a highly successful model used to describe the dynamics of many-particle, relativistic systems. It takes as input basic physics from microscopic scales and yields as output predictions of bulk, macroscopic motion.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 N. Andersson , G. L. Comer

Causality and stability in relativistic dissipative hydrodynamics are important conceptual issues. We argue that causality is not restricted to hyperbolic set of differential equations. E.g. heat conduction equation can be causal…

Nuclear Theory · Physics 2008-11-26 P. Ván , T. S. Biró

We briefly review the basic features of a new framework for relativistic perfect fluid hydrodynamics of polarized systems consisting of particles with spin one half. Using this approach we numerically study the stability of a stationary…

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

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
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