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We present the first numerical analysis of causal, stable first-order relativistic hydrodynamics with ideal gas microphysics, based in the formalism developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK theory). The BDNK approach…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Alex Pandya , Elias R. Most , Frans Pretorius

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

In this work, a connection has been indicated between the different existing formulations of relativistic hydrodynamic theories, which, in order to be causal and stable, (i) either requires `non-fluid' variables apart from velocity and…

Nuclear Theory · Physics 2024-08-27 Sayantani Bhattacharyya , Sukanya Mitra , Shuvayu Roy

We study low Reynolds number turbulence in a suspension of polar, extensile, self-propelled inertial swimmers. We review the bend and splay mechanisms that destabilize an ordered flock. The suspension is always unstable to bend…

Soft Condensed Matter · Physics 2025-11-10 Purnima Jain , Navdeep Rana , Roberto Benzi , Prasad Perlekar

Four formulations of perfect spin hydrodynamics for spin-1/2 particles, distinguished by their treatment of spin (classical vs. quantum) and by the underlying particle statistics (Boltzmann vs. Fermi-Dirac), are analyzed and shown to…

High Energy Physics - Phenomenology · Physics 2025-11-25 Samapan Bhadury , Zbigniew Drogosz , Wojciech Florkowski , Sudip Kumar Kar , Valeriya Mykhaylova

With the help of a semi-classical kinetic theory, a new collision kernel is proposed, which simultaneously conserves the energy-momentum tensor and the spin tensor of a relativistic fluid of spin-1/2 particles irrespective of the frame and…

High Energy Physics - Phenomenology · Physics 2025-03-12 Samapan Bhadury

In this work, we provide a novel method to constrain the causal parameter space of a relativistic hydrodynamic system exclusively from its linear stability analysis at non-zero momenta. Our approach exploits the Lorentz-invariant stability…

High Energy Physics - Theory · Physics 2026-05-13 Shuvayu Roy , Sukanya Mitra , Rajeev Singh

We outline the hybrid framework of spin hydrodynamics, combining classical kinetic theory with the Israel-Stewart method of introducing dissipation. We obtain the local equilibrium expressions for the baryon current, the energy-momentum…

High Energy Physics - Phenomenology · Physics 2025-08-18 Zbigniew Drogosz

We investigate the time-dependent perturbations of strongly coupled $\mathcal{N} = 4$ SYM theory at finite temperature and finite chemical potential with a second order phase transition. This theory is modelled by a top-down…

High Energy Physics - Theory · Physics 2021-06-02 M. Asadi , H. Soltanpanahi , Farid Taghinavaz

Exact correspondence between Israel-Stewart theory and first-order causal and stable hydrodynamics is established for the boost-invariant massive case with zero baryon density and the same constant relaxation times used in the shear and…

Nuclear Theory · Physics 2020-08-19 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski

In the context of the M\"{u}ller-Israel-Stewart second order phenomenological theory for dissipative fluids, we analyze the effects of thermal conduction and viscosity in a relativistic fluid, just after its departure from hydrostatic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Herrera , J. Martinez

We study a generalized Navier-Stokes model describing the thin-film flows in non-dilute suspensions of ATP-driven microtubules or swimming bacteria that are enclosed by a moving ring-shaped container. Considering Stokes' second problem,…

Soft Condensed Matter · Physics 2018-10-31 Jonasz Słomka , Alex Townsend , Jörn Dunkel

Quantum mechanical equations of motion are strictly linear in state descriptors, such as wavefunctions and density matrices, but equations describing chemical kinetics and hydrodynamics may be non-linear in concentrations. This…

Chemical Physics · Physics 2025-05-06 Anupama Acharya , Madhukar Said , Sylwia J. Barker , Marcel Utz , Bruno Linclau , Ilya Kuprov

We explore various aspects of semi-classical spin hydrodynamics, where hydrodynamic currents are derived from an expansion in the reduced Planck constant $\hbar$, incorporating both flat and curved spacetimes. After establishing covariant…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Annamaria Chiarini , Julia Sammet , Masoud Shokri

We study the constraints imposed by conformal symmetry on the equations of fluid dynamics at second order in gradients of the hydrodynamic variables. At zeroth order conformal symmetry implies a constraint on the equation of state, E=2/3 P,…

High Energy Physics - Theory · Physics 2015-05-30 Jingyi Chao , Thomas Schaefer

It is well known that, at zero wavenumber, the non-hydrodynamic frequencies of uncharged kinetic theory are purely imaginary. On the other hand, it was recently shown that, in resistive magnetohydrodynamics, the interplay between the…

Plasma Physics · Physics 2026-01-21 Lorenzo Gavassino

We show that, in ideal-spin hydrodynamics, the components of the spin tensor follow damped wave equations. The damping rate is related to nonlocal collisions of the particles in the fluid, which enter at first order in $\hbar$ in a…

Nuclear Theory · Physics 2025-02-10 David Wagner , Masoud Shokri , Dirk H. Rischke

We study the reduced dynamics of open quantum spin chains of arbitrary length $N$ with nearest neighbour $XX$ interactions, immersed within an external constant magnetic field along the $z$ direction, whose end spins are weakly coupled to…

Quantum Physics · Physics 2021-09-22 Fabio Benatti , Roberto Floreanini , Laleh Memarzadeh

We investigate the causality and stability of three different relativistic dissipative fluid-dynamical formulations emerging from a system of classical, ultra-relativistic scalar particles self-interacting via a quartic potential. For this…

Nuclear Theory · Physics 2023-11-14 Caio V. P. de Brito , Gabriel S. Rocha , Gabriel S. Denicol

We study the dynamics of spin mode by solving the axial kinetic equations under the relaxation time approximation in the presence of dissipative sources. We find transient spin modes in response to electric field with spacetime…

Nuclear Theory · Physics 2024-10-31 Shu Lin , Haiqin Tang