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We study linearized stability in first-order relativistic viscous hydrodynamics in the most general frame. There is a region in the parameter space of transport coefficients where the perturbations of the equilibrium state are stable. This…

High Energy Physics - Theory · Physics 2019-10-22 Pavel Kovtun

In this note, I summarise and comment on joint work with C. Bernardin, V. Kannan and J. L. Lebowitz concerning two harmonic systems with bulk noises whose nonequilibrium steady states (NESS) are nearly identical (they share the same thermal…

Mathematical Physics · Physics 2012-10-23 Jani Lukkarinen

A generalization of the random fluid hydrodynamic fluctuation theory due to Landau and Lifshitz is applied to describe cosmological fluctuations in systems with radiation and scalar fields. The viscous pressures, parametrized in terms of…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-14 Mar Bastero-Gil , Arjun Berera , Ian G. Moss , Rudnei O. Ramos

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

Statistical Mechanics · Physics 2009-10-31 S. Dumitru , A. Boer

We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Specifically, we establish how these errors depend on Mach number, Knudsen number, number of…

Statistical Mechanics · Physics 2009-11-07 Nicolas Hadjiconstantinou , Alejandro L. Garcia , Martin Z. Bazant , Gang He

We study relativistic hydrodynamics in the linear regime, based on Mori's projection operator method. In relativistic hydrodynamics, it is considered that ambiguity about the fluid velocity occurs from a choice of a local rest frame: the…

High Energy Physics - Phenomenology · Physics 2018-03-01 Yuki Minami , Yoshimasa Hidaka

Conserved currents of relativistic spin fluids derived from microscopic models are known to violate local thermodynamic relations. We present a systematic analysis of pseudo-gauge improvements in ideal spin hydrodynamics and identify a…

High Energy Physics - Theory · Physics 2026-03-17 Jay Armas , Akash Jain

We review opportunities for stochastic geometric mechanics to incorporate observed data into variational principles, in order to derive data-driven nonlinear dynamical models of effects on the variability of computationally resolvable…

Chaotic Dynamics · Physics 2018-06-28 François Gay-Balmaz , Darryl D. Holm

The field of high energy nuclear collisions has witnessed a surge of interest in the role played by hydrodynamic fluctuations. Hydrodynamic fluctuations may have significant effects on matter created in heavy-ion accelerators whose…

Nuclear Theory · Physics 2017-05-03 Christopher Plumberg , Joseph I. Kapusta

We reformulate the problem of hydrodynamic turbulence as a heat flow problem. We obtain thus a prediction $$ \zeta_p={p\over3}-{1\over\ln\kappa}\ln\Gamma({p\over3}+1) $$ for the exponents of the structure functions…

Fluid Dynamics · Physics 2015-06-11 David Ruelle

In recent years the equations of relativistic first-order viscous hydrodynamics, that is, the relativistic version of Navier-Stokes, have been shown to be well posed and causal under appropriate field redefinitions, also known as…

High Energy Physics - Theory · Physics 2023-12-29 Yago Bea , Pau Figueras

Viscous fluids can dissipate and alter the propagation of gravitational waves, as well as modify the relaxation and stability properties of self-gravitating fluids. This is particularly relevant in order to understand the relaxation to…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Jaime Redondo-Yuste

Generalizing the collision term in the relativistic Boltzmann equation to include nonlocal effects, and using Grad's 14-moment approximation for the single-particle distribution function, we derive evolution equations for the relativistic…

Nuclear Theory · Physics 2013-03-13 Amaresh Jaiswal , Rajeev S. Bhalerao , Subrata Pal

The causality and stability of a relativistic hydrodynamic theory is shown to require a consensus between, either (i) newer degrees of freedom apart from the fundamental fluid fields, or (ii) a general hydrodynamic frame other than the…

Nuclear Theory · Physics 2025-08-25 Sukanya Mitra

Local-box hydrodynamical model atmospheres provide statistical information about the spatial dependence, as well as temporal evolution, of a star's emergent radiation field. Here, we consider late-type stellar atmospheres for which temporal…

Astrophysics · Physics 2009-11-11 Hans-G. Ludwig

Recent experimental and theoretical works have shown that giant fluctuations are present during diffusion in liquid systems. We use linearized fluctuating hydrodynamics to calculate the net mass transfer due to these non equilibrium…

Statistical Mechanics · Physics 2009-10-31 Doriano Brogioli , Alberto Vailati

By constructing a hydrodynamic canonical formalism, we show that the occurrence of an arbitrary density-dependent gauge potential in the meanfield Hamiltonian of a Bose-condensed fluid invariably leads to nonlinear flow-dependent terms in…

Quantum Gases · Physics 2021-01-06 Y. Buggy , L. G. Phillips , P. Öhberg

We investigate the behavior of energy fluctuations in several models of granular gases maintained in a non-equilibrium steady state. In the case of a gas heated from a boundary, the inhomogeneities of the system play a predominant role.…

Statistical Mechanics · Physics 2007-05-23 P. Visco , A. Puglisi , A. Barrat , F. van Wijland , E. Trizac

We investigate the phenomenology of freely expanding fluids, with different material properties, evolving through the Israel-Stewart (IS) causal viscous hydrodynamics, and compare our results with those obtained in the relativistic…

Nuclear Theory · Physics 2008-11-26 R. S. Bhalerao , Sourendu Gupta

The state-of-the-art theoretical formalism for a covariant description of non-Gaussian fluctuation dynamics in relativistic fluids is discussed.

High Energy Physics - Theory · Physics 2024-03-01 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee