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We show that the dynamical stability under linear perturbations of interacting systems in the hydrodynamic regime follows from the first and the second laws of thermodynamics. Our argument extends to systems with spontaneously or softly…

High Energy Physics - Theory · Physics 2024-07-12 Blaise Goutéraux , Eric Mefford

Using the wave equation as an example, it is shown how to extend the hydrodynamic Lagrangian-picture method of constructing field evolution using a continuum of trajectories to second-order theories. The wave equation is represented through…

Fluid Dynamics · Physics 2015-05-28 Peter Holland

The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by St\"uckelberg. This covariant approach leads to a relativistic formulation of the…

Statistical Mechanics · Physics 2022-10-11 Sylvain D. Brechet , Marin C. A. Girard

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

The experimental observation of collective behaviour in proton-proton and proton-nucleus collisions poses a fundamental theoretical question regarding the proper characterization of the initial state underlying hydrodynamic evolution. While…

High Energy Physics - Phenomenology · Physics 2026-05-28 Gabriel Rabelo-Soares , Gojko Vujanovic , Giorgio Torrieri

Relativistic effects in the thermodynamical properties of interacting particle systems are investigated within the framework of the relativistic direct interaction theory in various forms of dynamics. In the front form of relativistic…

High Energy Physics - Theory · Physics 2007-05-23 V. Tretyak

We present the general relativistic pressure correction terms in Newtonian hydrodynamic equations to the nonlinear order: these are equations (\ref{mass-conservation-Mink})-(\ref{Poisson-eq-Mink}). The derivation is made in the zero-shear…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Jai-chan Hwang , Hyerim Noh

Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the…

Nuclear Theory · Physics 2013-05-22 Amaresh Jaiswal

We study the role of hydrodynamic interactions in the collective behaviour of collections of microscopic active particles suspended in a fluid. We introduce a novel calculational framework that allows us to separate the different…

Soft Condensed Matter · Physics 2017-09-06 Natsuhiko Yoshinaga , Tanniemola B. Liverpool

Understanding event-by-event correlations and fluctuations is crucial for the comprehension of the dynamics of heavy ion collisions. Relativistic hydrodynamics is an elegant tool for modeling these phenomena; however, such simulations are…

Computational Physics · Physics 2018-02-19 J. Porter-Sobieraj , M. Słodkowski , D. Kikoła , J. Sikorski , P. Aszklar

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

This paper revisits the problem of heat conduction in relativistic fluids, associated with issues concerning both stability and causality. It has long been known that the problem requires information involving second order deviations from…

General Relativity and Quantum Cosmology · Physics 2015-05-28 N. Andersson , C. Lopez-Monsalvo

As an effective theory, relativistic hydrodynamics is fixed by symmetries up to a set of transport coefficients. A lot of effort has been devoted to explicit calculations of these coefficients. Here we propose a shift in perspective: we…

High Energy Physics - Theory · Physics 2024-10-15 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Benjamin Withers

This Ph.D. thesis reports on progress in rigorously establishing hydrodynamic principles from the microscopic Hamiltonian dynamics of quantum many-body systems in a general, non-model-specific manner. Using the C*-algebra framework of…

Mathematical Physics · Physics 2026-01-14 Dimitrios Ampelogiannis

We prove that ideal chiral hydrodynamics, as derived from chiral kinetic theory, is acausal and its initial-value problem is ill-posed both in the linearized case around a local equilibrium solution and also in the full nonlinear regime.…

High Energy Physics - Theory · Physics 2023-03-15 Enrico Speranza , Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

We derive the special and general relativistic hydrodynamic equations of motion for ideal fluids from a variational principle. Our approach allows to find approximate solutions, whenever physically motivated trial functions can be used.…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. -Th. Elze , T. Kodama , Y. Hama , M. Makler , J. Rafelski

Relativistic nuclear collisions data on two-particle correlations exhibit structures as function of relative azimuthal angle and rapidity. A unified description of these near-side and away-side structures is proposed for low to moderate…

Nuclear Theory · Physics 2015-05-19 Rone Peterson G. Andrade , Frederique Grassi , Yogiro Hama , Wei-Liang Qian

We have extended the procedure to find the exact solution of the Riemann problem in relativistic hydrodynamics to a particular case of relativistic magnetohydrodynamics in which the magnetic field of the initial states is tangential to the…

Astrophysics · Physics 2009-11-13 Roberto Romero , Jose M. Marti , Jose A. Pons , Jose M. Ibanez , Juan A. Miralles

We consider a first order formulation of relativistic fluids with bulk viscosity based on a stress-energy tensor introduced by Lichnerowicz. Choosing a barotropic equation of state, we show that this theory satisfies basic physical…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Marcelo M. Disconzi , Thomas W. Kephart , Robert J. Scherrer

We investigate the linearized stability and causality properties of relativistic viscous superfluid hydrodynamics. The Landau-Lifshitz-Clark-Putterman formulation for the theory of relativistic viscous superfluids suffers from the same…

High Energy Physics - Theory · Physics 2025-04-28 Raphael E. Hoult , Ashish Shukla