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Related papers: Relativistic spin hydrodynamics from novel relaxat…

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We provide a linear analysis on normal modes of the spin Boltzmann equation proposed in \cite{Weickgenannt:2021cuo}, where the non-diagonal or polarized part of the transition rate is neglected to ensure the Hermitian property of linearized…

High Energy Physics - Phenomenology · Physics 2022-08-17 Jin Hu

We derive causal relativistic fluid dynamical equations from the relaxation model of kinetic theory as in a procedure previously applied in the case of non-relativistic rarefied gases. By treating space and time on an equal footing and…

General Relativity and Quantum Cosmology · Physics 2011-08-03 Xinzhong Chen , Edward A Spiegel

We develop a novel model of the magnetized spin-1 Bose-Einstein condensate (BEC) of neutral atoms, using the method of many-particle quantum hydrodynamic (QHD) and propose an original derivation of the system of continual equations. We…

Quantum Gases · Physics 2021-01-12 Mariya Iv. Trukhanova , Yuri N. Obukhov

A quadrature-based finite-difference lattice Boltzmann model is developed that is suitable for simulating relativistic flows of massless particles. We briefly review the relativistc Boltzmann equation and present our model. The quadrature…

Fluid Dynamics · Physics 2017-09-26 Robert Blaga , Victor E. Ambrus

We derive the non-equilibrium single-particle momentum distribution function of a hadron resonance gas. We then study the effects that this newly derived expression can have in the freeze-out description of fluid-dynamical models of heavy…

Nuclear Theory · Physics 2015-06-12 G. S. Denicol , H. Niemi

We develop a new method for proving hypocoercivity for a large class of linear kinetic equations with only one conservation law. Local mass conservation is assumed at the level of the collision kernel, while transport involves a confining…

Analysis of PDEs · Mathematics 2010-05-11 Jean Dolbeault , Clément Mouhot , Christian Schmeiser

We present an analysis of the general relativistic Boltzmann equation for radiation, appropriate to the case where particles and photons interact through Thomson scattering, and derive the radiation energy-momentum tensor in the diffusion…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Eric R. Coughlin , Mitchell C. Begelman

It is found that the extra quantum constraints to the spinor components of the equal-time Wigner function given in a recent paper by Zhuang and Heinz should vanish identically. We point out here the origin of the error and give an…

High Energy Physics - Phenomenology · Physics 2009-10-09 Abdellatif Abada , Michael C. Birse , Pengfei Zhuang , Ulrich Heinz

We investigate hydrodynamic contributions to short-range two-particle correlations in relativistic heavy-ion collisions using the Boltzmann-Langevin equation. We derive and solve the transport equation for equal-time two-point correlations,…

High Energy Physics - Phenomenology · Physics 2025-12-23 Li Yan , Derek Teaney

We introduce the equations of relativistic hydrodynamics that incorporate phase separation via spinodal decomposition. These equations consider surface effects between the two phases and are applicable for simulating intermediate-energy…

Nuclear Theory · Physics 2025-10-02 Joseph Kapusta , Mayank Singh , Thomas Welle

Fluid of spin-1/2 fermions is represented by a complex scalar field and a four-vector field coupled both to the scalar and the Dirac fields. We present the underlying action and show that the resulting equations of motion are identical to…

High Energy Physics - Theory · Physics 2021-11-16 Ö. F. Dayi , E. Kilinçarslan

We examine the applicability of relativistic hydrodynamics far from equilibrium by constructing formal solutions of the Boltzmann moment equations in the relaxation time approximation. These solutions naturally decompose into a divergent…

Nuclear Theory · Physics 2026-04-29 Reghukrishnan Gangadharan

An evolution equation for the expectation values of the Boltzmann factor between monomer valence bond states is derived. It contains the whole information on the thermodynamical and magnetic properties of the spin $\frac{1}{2}$ quantum…

Condensed Matter · Physics 2008-02-03 K. -H. Mütter

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

In this paper we show how using a relativistic kinetic equation the ensuing expression for the heat flux can be casted in the form required by Classical Irreversible Thermodynamics. Indeed, it is linearly related to the temperature and…

General Relativity and Quantum Cosmology · Physics 2009-07-31 A. Sandoval-Villalbazo , A. L. Garcia-Perciante , L. S. Garcia-Colin

In the complete system of equations of evolution of the classical system of charges and the electromagnetic field generated by them, the field variables are excluded. An exact closed relativistic non-Hamiltonian system of nonlocal kinetic…

Statistical Mechanics · Physics 2020-05-19 A. Yu. Zakharov

We derive multicomponent relativistic second-order dissipative fluid dynamics from the Boltzmann equations for a reactive mixture of $N_{\text{spec}}$ particle species with $N_q$ intrinsic quantum numbers (e.g. electric charge, baryon…

Nuclear Theory · Physics 2022-08-31 Jan A. Fotakis , Etele Molnár , Harri Niemi , Carsten Greiner , Dirk H. Rischke

An explicit solution of the stationary one dimensional half-space boundary value problem for the linear Boltzmann equation is presented in the presence of an arbitrarily high constant external field. The collision kernel is assumed to be…

Statistical Mechanics · Physics 2025-09-08 C. Dalitz , E. H. de Groot

Understanding hydrodynamization in microscopic models of heavy-ion collisions has been an important topic in current research. Many lessons obtained within the strongly-coupled (holographic) models originate from the properties of transient…

Nuclear Theory · Physics 2018-09-24 Michal P. Heller , Viktor Svensson

We expand the classical phase-space distribution function to incorporate couplings between spin and electromagnetic fields. This extension has led to the derivation of modified constitutive relations for the charge current, energy-momentum…

High Energy Physics - Phenomenology · Physics 2025-02-18 Rajeev Singh , Masoud Shokri , S. M. A. Tabatabaee