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We show that it is possible to define a timelike future-directed information current within relativistic first-order hydrodynamics. This constitutes the first step toward a covariantly stable and causal formulation of first-order…

Nuclear Theory · Physics 2024-04-18 Lorenzo Gavassino , Nick Abboud , Enrico Speranza , Jorge Noronha

In the hydrodynamic theory, the non-equilibrium dynamics of a many-body system is approximated, at large scales of space and time, by irreversible relaxation to local entropy maximisation. This results in a convective equation corrected by…

Statistical Mechanics · Physics 2025-12-02 Friedrich Hübner , Leonardo Biagetti , Jacopo De Nardis , Benjamin Doyon

We develop a version of fluctuating relativistic hydrodynamics in a way very different from the usual derivation: Instead of treating it as a coarse-grained deterministic theory expanded in gradients of equilibrium quantities, we treat it…

High Energy Physics - Theory · Physics 2025-07-28 G. M. Sampaio , G. Rabelo-Soares , G. Torrieri

With focus on anharmonic chains, we develop a nonlinear version of fluctuating hydrodynamics, in which the Euler currents are kept to second order in the deviations from equilibrium and dissipation plus noise are added. The required…

Statistical Mechanics · Physics 2016-06-16 Herbert Spohn

Dissipative processes in relativistic fluids are known to be important in the analyses of the hot QCD matter created in high-energy heavy-ion collisions. In this work, I consider dissipative corrections to energy and conserved charge…

Nuclear Theory · Physics 2018-10-08 Akihiko Monnai

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

I review recent and not so recent progress on formulating and numerically implementing a consistent set of relativistic equations which describe the space-time evolution of viscous relativistic fluids without violating causality.

Nuclear Theory · Physics 2007-05-23 Ulrich W. Heinz

We develop a set of kinetic equations for hydrodynamic fluctuations which are equivalent to nonlinear hydrodynamics with noise. The hydro-kinetic equations can be coupled to existing second order hydrodynamic codes to incorporate the…

Nuclear Theory · Physics 2017-02-01 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

We develop a causal hydrodynamic model that provides an effective macroscopic description of the field-theoretic dynamics during the early stages of reheating. The inflaton condensate is treated as a homogeneous background coupled to a…

High Energy Physics - Phenomenology · Physics 2026-01-14 Juan Pablo Elía , Lucas Cantarutti , Nahuel Mirón-Granese , Esteban Calzetta

A new effective theory framework for fluctuating hydrodynamics in the relativistic regime is derived using standard thermodynamical principles and general properties of non-equilibrium stochastic dynamics. For the first time, we establish…

Nuclear Theory · Physics 2025-01-09 Nicki Mullins , Mauricio Hippert , Jorge Noronha

In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of Divergence Type Theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads…

High Energy Physics - Phenomenology · Physics 2017-05-03 Milton Aguilar , Esteban Calzetta

I summarize our recent work towards finding and utilizing analytic solutions of relativistic hydrodynamic. In the first part I discuss various exact solutions of the second-order conformal hydrodynamics. In the second part I compute flow…

High Energy Physics - Phenomenology · Physics 2016-11-23 Yoshitaka Hatta

We develop a covariant formalism to study nonlinear perturbations of dissipative and interacting relativistic fluids. We derive nonlinear evolution equations for various covectors defined as linear combinations of the spatial gradients of…

Astrophysics · Physics 2009-11-11 David Langlois , Filippo Vernizzi

In this paper, we study a simple hydrodynamical model showing abrupt flow reversals at random times. For a suitable range of parameters, we show that the dynamics of flow reversal is accurately described by stochastic differential…

Chaotic Dynamics · Physics 2009-11-10 Roberto Benzi

The fluctuating hydrodynamics by Brey et. al. is analytically solved to get the long-time limit of the fluctuations of the number density, velocity field, and energy density around the homogeneous cooling state of a granular gas, under…

Statistical Mechanics · Physics 2023-11-27 Jesús David Jiménez Oliva , Pablo Rodriguez-Lopez , Nagi Khalil

We consider a class of either fermionic or bosonic noninteracting open quantum chains driven by dissipative interactions at the boundaries and study the interplay of coherent transport and dissipative processes, such as bulk dephasing and…

Statistical Mechanics · Physics 2017-11-17 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

We review the recent development on a systematic deterministic formalism describing dynamics of both bulk and fluctuations in an arbitrary relativistic hydrodynamic flow carrying conserved charges. In particular, we discuss the…

High Energy Physics - Theory · Physics 2021-02-03 Xin An

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Just as non relativistic fluids, oftentimes we find relativistic fluids in situations where random fluctuations cannot be ignored, thermal and turbulent fluctuations being the most relevant examples. Because of the theory's inherent…

High Energy Physics - Phenomenology · Physics 2022-12-21 Nahuel Mirón Granese , Alejandra Kandus , Esteban Calzetta

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

Statistical Mechanics · Physics 2011-08-26 M. Belushkin , R. Livi , G. Foffi
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