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Related papers: Boost invariant spin hydrodynamics within the firs…

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We study numerically the spin turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates (BECs). Spin turbulence (ST) is characterized by a -7/3 power law in the spectrum of the spin-dependent interaction energy. The direction of…

Quantum Gases · Physics 2015-06-15 Makoto Tsubota , Yusuke Aoki , Kazuya Fujimoto

The primary objective of this thesis is to develop a consistent theoretical framework of dissipative hydrodynamics for a relativistic fluid with spin - hereafter referred to as relativistic dissipative spin hydrodynamics. In this framework,…

High Energy Physics - Phenomenology · Physics 2025-12-25 Asaad Daher

In this paper, uniformly unconditionally stable first and second order finite difference schemes are developed for kinetic transport equations in the diffusive scaling. We first derive an approximate evolution equation for the macroscopic…

Numerical Analysis · Mathematics 2022-11-10 Guoliang Zhang , Hongqiang Zhu , Tao Xiong

Anisotropic hydrodynamics is a reorganization of the relativistic hydrodynamics expansion, with the leading order already containing substantial momentum-space anisotropies. The latter are a cause of concern in the traditional viscous…

High Energy Physics - Phenomenology · Physics 2015-06-11 Leonardo Tinti

Quantum integrable systems, such as the interacting Bose gas in one dimension and the XXZ quantum spin chain, have an extensive number of local conserved quantities that endow them with exotic thermalization and transport properties. We…

Statistical Mechanics · Physics 2018-02-21 Vir B. Bulchandani , Romain Vasseur , Christoph Karrasch , Joel E. Moore

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 establish the anisotropic hydrodynamics (aHydro) equations based on a boost-non-invariant longitudinally expanding system. Good consistency is found in the comparison between the aHydro results with those from the Boltzmann equation…

Nuclear Theory · Physics 2024-10-01 Shile Chen , Shuzhe Shi

The equations of perfect spin hydrodynamics are solved for the first time using a realistic (3+1)-dimensional hydrodynamic background, calibrated to reproduce a comprehensive set of hadronic observables, including rapidity distributions,…

High Energy Physics - Phenomenology · Physics 2025-02-19 Sushant K. Singh , Radoslaw Ryblewski , Wojciech Florkowski

We derive Kubo formulae for first-order spin hydrodynamics based on non-equilibrium statistical operators method. In first-order spin hydrodynamics, there are two new transport coefficients besides the ordinary ones appearing in first-order…

High Energy Physics - Phenomenology · Physics 2021-06-30 Jin Hu

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

A full viscous quantum hydrodynamic system for particle density, current density, energy density and electrostatic potential coupled with a Poisson equation in one dimensional bounded intervals is studied. First, the existence and…

Analysis of PDEs · Mathematics 2023-07-03 Xiaoying Han , Yuming Qin , Wenlong Sun

We present some exact solutions to the ideal hydrodynamics of a relativistic superfluid with an almost-conformal equation of state. The solutions have stress tensors which are invariant under Lorentz boosts in one direction, and represent…

High Energy Physics - Theory · Physics 2022-10-19 Ronnie Rodgers , Javier G. Subils

Existing hydrodynamic models of charged fluids consider any external electric field acting on the fluid as either first order in the hydrodynamic derivative expansion and completely arbitrary or zeroth order but constrained by the fluid's…

High Energy Physics - Theory · Physics 2023-06-16 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis

We establish a set of equations for moments of the distribution function. In the relaxation time approximations, these moments obey a coupled set of equations that can be truncated order-by-order. Solving the equations of moments, we are…

Nuclear Theory · Physics 2019-02-20 Jean-Paul Blaizot , Li Yan

Using the conservation laws for charge, energy, momentum, and angular momentum, we derive hydrodynamic equations for the charge density, local temperature, and fluid velocity, as well as for the spin tensor, starting from local equilibrium…

Nuclear Theory · Physics 2018-04-18 Wojciech Florkowski , Bengt Friman , Amaresh Jaiswal , Enrico Speranza

We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current…

High Energy Physics - Theory · Physics 2020-08-27 Jan de Boer , Jelle Hartong , Emil Have , Niels A. Obers , Watse Sybesma

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin…

High Energy Physics - Theory · Physics 2021-09-01 Domingo Gallegos , Umut Gursoy , Amos Yarom

The strong system-bath correlation is a typical initial condition in many condensed matter and some quantum optical systems. Here, the dynamics of a spin interacting with a spin bath through an intermediate spin are studied. Initial…

Quantum Physics · Physics 2014-01-30 V. Semin , I. Sinayskiy , F. Petruccione

The one-dimensional non-boost-invariant evolution of the quark-gluon plasma, presumably produced during the early stages of heavy-ion collisions, is analyzed within the frameworks of viscous and anisotropic hydrodynamics. We neglect…

Nuclear Theory · Physics 2016-12-21 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a…

Statistical Mechanics · Physics 2016-08-31 Hisao Hayakawa