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Relativistic dissipative hydrodynamics including hydrodynamic fluctuations is formulated by putting an emphasis on non-linearity and causality. As a consequence of causality, dissipative currents become dynamical variables and noises…

Nuclear Theory · Physics 2013-04-12 Koichi Murase , Tetsufumi Hirano

In this lecture note, we present several topics on relativistic hydrodynamics and its application to relativistic heavy ion collisions. In the first part we give a brief introduction to relativistic hydrodynamics in the context of heavy ion…

Nuclear Theory · Physics 2015-05-13 Tetsufumi Hirano , Naomi van der Kolk , Ante Bilandzic

Droplets abound in nature and technology. In general, they are multicomponent, and, when out of equilibrium, with gradients in concentration, implying flow and mass transport. Moreover, phase transitions can occur, with either evaporation,…

Fluid Dynamics · Physics 2020-05-11 Detlef Lohse , Xuehua Zhang

We review a (constructive) approach first introduced in [6] and further developed in [7, 8, 38, 9] for hydrodynamic limits of asymmetric attractive particle systems, in a weak or in a strong (that is, almost sure) sense, in an homogeneous…

Probability · Mathematics 2017-01-30 C Bahadoran , H Guiol , K Ravishankar , E Saada

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

We investigate the hydrodynamic effects on the dynamics of critical concentration fluctuations in multicomponent fluid membranes. Two geometrical cases are considered; (i) confined membrane case and (ii) supported membrane case. We…

Soft Condensed Matter · Physics 2010-11-29 Sanoop Ramachandran , Shigeyuki Komura , Kazuhiko Seki , Masayuki Imai

We review recent progress in developing effective field theories (EFTs) for non-equilibrium processes at finite temperature, including a new formulation of fluctuating hydrodynamics, and a new proof of the second law of thermodynamics.…

High Energy Physics - Theory · Physics 2018-05-25 Paolo Glorioso , Hong Liu

A method to study event--by--event fluctuations of the `chemical' (particle type) composition of the final state of high energy collisions is proposed.}

Nuclear Theory · Physics 2011-09-13 Marek Gazdzicki

We present a general systematic formalism for describing dynamics of fluctuations in an arbitrary relativistic hydrodynamic flow, including their feedback (known as long-time hydrodynamic tails). The fluctuations are described by two-point…

High Energy Physics - Theory · Physics 2019-08-28 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

In this paper we study thermo-electric transport in interacting two-dimensional Dirac-type systems using a phenomenological Boltzmann approach. We consider a setup that can accommodate electrons, holes, and collective modes. In the first…

Strongly Correlated Electrons · Physics 2022-11-30 Kitinan Pongsangangan , T. Ludwig , H. T. C. Stoof , Lars Fritz

Velocity correlations in a 2D granular fluid are studied in experiments and numerical simulations. The transverse component of the velocity structure factor reveals two well defined energy scales, associated with the external "bath…

Statistical Mechanics · Physics 2015-05-27 Giacomo Gradenigo , Alessandro Sarracino , Dario Villamaina , Andrea Puglisi

In relativistic heavy-ion collisions, event-by-event fluctuations are known to have non-trivial implications. Even though the probability distribution is geometrically isotropic for the initial conditions, the anisotropic $\varepsilon_n$…

Nuclear Theory · Physics 2023-04-04 Wei-Liang Qian , Kai Lin , Chong Ye , Jin Li , Yu Pan , Rui-Hong Yue

Event-by-event fluctuations of the initial transverse density profile result in a collective flow pattern which also fluctuates event by event. We propose a number of new correlation observables to characterize these fluctuations and…

Nuclear Experiment · Physics 2012-06-18 Rajeev S. Bhalerao , Matthew Luzum , Jean-Yves Ollitrault

What is the major difference between large and small systems? At small length-scales the dynamics is dominated by fluctuations, whereas at large scales fluctuations are irrelevant. Therefore, any thermodynamically consistent description of…

Statistical Mechanics · Physics 2025-01-13 Akira Sone , Kanu Sinha , Sebastian Deffner

Relativistic hydrodynamics is essential to our current understanding of nucleus-nucleus collisions at ultrarelativistic energies (current experiments at the Relativistic Heavy Ion Collider, forthcoming experiments at the CERN Large Hadron…

Nuclear Theory · Physics 2008-11-26 Jean-Yves Ollitrault

We study the statistical properties of many Brownian particles under the We study the statistical properties of many Brownian particles under the influence of both a spatially homogeneous driving force and a periodic potential with period…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Shin-ichi Sasa

Event-by-event hydrodynamics is applied to Cu-Au collisions at 200GeV. Predictions for charged particle distributions in pseudorapidity, transverse momentum spectra, femtoscopy radii are given. The triangular and elliptic flow coefficients…

Nuclear Theory · Physics 2012-10-09 Piotr Bozek

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

We discuss recent progress towards developing accurate initial state descriptions for heavy ion collisions focusing on weak coupling based approaches, that enable one to constrain the high-energy structure of nuclei from deep inelastic…

Nuclear Theory · Physics 2023-12-14 Heikki Mäntysaari

Hydrodynamics provides a concise but powerful description of long-time and long-distance physics of correlated systems out of thermodynamic equilibrium. Here we construct hydrodynamic equations for nonrelativistic particles with a…

Quantum Gases · Physics 2018-12-27 Keisuke Fujii , Yusuke Nishida