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Spin superfluidity, i.e., coherent spin transport mediated by topologically stable textures, is limited by parasitic anisotropies rooted in relativistic interactions and spatial inhomogeneities. Since structural disorder in amorphous…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Hector Ochoa , Ricardo Zarzuela , Yaroslav Tserkovnyak

The open problem of derivation of the relativistic Vlasov equation for the systems of charged particles moving with the velocities up to the speed of light and creating the electromagnetic field in accordance with the full set of the…

Plasma Physics · Physics 2022-04-26 Pavel A. Andreev

We develop a quantum spin-density-matrix framework for heavy-quark spin dynamics in relativistic heavy-ion collisions. Starting from an initial polarization induced along the magnetic-field direction, we derive the evolution equation for…

High Energy Physics - Phenomenology · Physics 2026-05-08 Sunil Jaiswal , Sourav Dey , Amaresh Jaiswal

Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as astrophysical contexts. Despite various…

Statistical Mechanics · Physics 2016-12-23 Leila Shahsavar , Malihe Ghodrat , Afshin Montakhab

Employing a kinetic framework, we calculate all transport coefficients for relativistic dissipative (second-order) hydrodynamics for arbitrary particle masses in the 14-moment approximation. Taking the non-relativistic limit, it is shown…

Nuclear Theory · Physics 2025-05-07 Semyon Potesnov , David Wagner

The equations governing dissipative relativistic hydrodynamics are formulated within the 3+1 approach for arbitrary spacetimes. Dissipation is accounted for by applying the theory of extended causal thermodynamics (Israel-Stewart theory).…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Jochen Peitz , Stefan Appl

Relativistic dissipative hydrodynamics including hydrodynamic fluctuations is formulated by putting an emphasis on non-linearity and causality. As a consequence of causality, dissipative currents become dynamical variables and noises…

Nuclear Theory · Physics 2013-04-12 Koichi Murase , Tetsufumi Hirano

The relativistic treatment of spin is a fundamental subject which has an old history. In various physical contexts it is necessary to separate the relativistic total angular momentum into an orbital and spin contribution. However, such…

Nuclear Theory · Physics 2021-05-19 Enrico Speranza , Nora Weickgenannt

In this paper, we present a detailed derivation of relativistic first-order spin hydrodynamics using the Chapman-Enskog method to linearize the nonlocal collision term for massive fermions proposed in \cite{Weickgenannt:2021cuo}, which well…

High Energy Physics - Phenomenology · Physics 2022-04-27 Jin Hu

We review the key steps of the relativistic fluid dynamics formalism with spin degrees of freedom initiated recently. We obtain equations of motion of the expansion of the system from the underlying definitions of quantum kinetic theory for…

Nuclear Theory · Physics 2021-04-06 Rajeev Singh

Fully non-linear equations of motion for dissipative general relativistic multi-fluids can be obtained from an action principle involving the explicit use of lower dimensional matter spaces. More traditional strategies for incorporating…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Thomas Celora , Nils Andersson , Greg L. Comer

We derive the equations of motion of relativistic magnetohydrodynamics from the Boltzmann equation using the method of moments. We consider a locally electrically neutral system composed of two particle species with opposite charges, with…

High Energy Astrophysical Phenomena · Physics 2026-02-25 Khwahish Kushwah , Gabriel Silveria Denicol

In this article we review the perfect-fluid hydrodynamics with spin framework proposed recently. This framework generalises the standard relativistic hydrodynamics framework to include spin degrees of freedom and provides a natural method…

Nuclear Theory · Physics 2022-09-21 Rajeev Singh

In this article a correspondence has been established between the out of equilibrium system dissipation and the thermodynamic field redefinition of the macroscopic variables through the momentum dependent relaxation time approximation…

Nuclear Theory · Physics 2022-01-19 Sukanya Mitra

Fluid dynamic approach is a workhorse for modelling collective dynamics in relativistic heavy-ion collisions. The approach has been successful in describing various features of the momentum distributions of hadrons produced in the heavy-ion…

Nuclear Theory · Physics 2021-08-04 Iurii Karpenko

The Hamiltonian formulation of superfluids based on noncanonical Poisson brackets is studied in detail. The assumption that the momentum density is proportional to the flow of the conserved energy is shown to lead to the covariant…

High Energy Physics - Phenomenology · Physics 2008-11-26 Manuel A. Valle

We construct the canonical constitutive relations for a fluid description of a system with a spin current, valid in an arbitrary number of dimensions in the absence of parity breaking or time reversal breaking terms. Our study encompasses…

High Energy Physics - Theory · Physics 2023-06-07 A. D. Gallegos , U. Gursoy , A. Yarom

We deal with a novel approach to formulation of the relativistic dissipative hydrodynamics by extending the so-called matching conditions widely used in the literature. The form of the non-equilibrium entropy current can be determined by…

Nuclear Theory · Physics 2015-06-03 T. Osada

We present the exact form of the spin polarization vector and the spin density matrix of massive and massless free particles of any spin and helicity at general global equilibrium in a relativistic fluid with non-vanishing thermal…

Nuclear Theory · Physics 2023-06-16 Andrea Palermo , Francesco Becattini

We use linear response theory to derive both the non-dissipative and dissipative effects of spin polarization for massive and massless interacting spin 1/2 particles in a relativistic fluid. We list and classify all the possible…

Nuclear Theory · Physics 2025-07-29 Matteo Buzzegoli
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