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We present the optimal hydrodynamic model for rarefied gas flows relative to a given kinetic model by combining the recent theory of slow spectral closure with machine learning techniques. We learn generalized transport coefficients from…

Fluid Dynamics · Physics 2025-09-09 Florian Kogelbauer , Candi Zheng , Ilya Karlin

Heavy-ion collisions at $\sqrt{s_\mathrm{NN}} \sim 10$ GeV probe the QCD phase diagram at large baryon densities. Because the longitudinal Lorentz contraction is small at these collision energies, understanding the dynamics during the early…

Nuclear Theory · Physics 2023-07-18 Chun Shen , Abel Noble , Jean-François Paquet , Björn Schenke , Charles Gale

Using Kubo's linear response theory, we derive expressions for the frequency-dependent electrical conductivity (Kubo-Greenwood formula), thermopower, and thermal conductivity in a strongly correlated electron system. These are evaluated…

Plasma Physics · Physics 2012-05-04 Bastian Holst , Martin French , Ronald Redmer

Results are presented for the quench dynamics of a clean and interacting electron system, where the quench involves varying the strength of the attractive interaction along arbitrary quench trajectories. The initial state before the quench…

Superconductivity · Physics 2019-09-04 Yonah Lemonik , Aditi Mitra

This chapter, to appear in the section on QCD under extreme conditions within the Encyclopedia of Nuclear Physics, aims to provide a pedagogical introduction to the physics of quarks and gluons in the presence of high temperature, nonzero…

High Energy Physics - Lattice · Physics 2026-04-30 Bastian B. Brandt , Gergely Endrodi

We investigate an approximation to early dynamics in relativistic heavy-ion collisions, where after formation the partons are free streaming and around the proper time of 1 fm/c undergo a sudden equilibration described in terms of the…

Nuclear Theory · Physics 2009-09-11 Wojciech Broniowski , Wojciech Florkowski , Mikolaj Chojnacki , Adam Kisiel

We study the importance of the initial state, baryon stopping and baryon number transport for the dynamical evolution of a strongly interacting system produced in heavy ion collisions. We employ a hybrid model, which combines the fluid…

Nuclear Theory · Physics 2013-05-30 J. Steinheimer , V. Koch , M. Bleicher

Thermalization is the dynamical process by which a many-body system evolves toward a thermal equilibrium state that maximizes its entropy. In certain cases, however, the establishment of thermal equilibrium is significantly slowed down and…

Quantum Gases · Physics 2022-09-07 Murad Abuzarli , Nicolas Cherroret , Tom Bienaimé , Quentin Glorieux

We study the collision energy dependence of elliptic flow v_2 and triangular flow v_3 in Au+Au collisions within the energy range sqrt(s_{NN}) = 5-200 GeV, utilizing a transport + hydrodynamics hybrid model. The transport part is described…

Nuclear Theory · Physics 2014-04-11 Jussi Auvinen , Hannah Petersen

One of the unsolved problems in the current 'standard model' of heavy ion physics is the apparent rapid thermalization of QCD matter in the pre-equilibrium stage. While it is challenging to probe this mechanism directly, there are now…

High Energy Physics - Phenomenology · Physics 2015-06-22 Thorsten Renk , Rupa Chatterjee , Kari J. Eskola , Harri Niemi , Ilkka Helenius

A dynamical appearance of scaling solutions in the relativistic hydrodynamics applied to describe ultra-relativistic heavy-ion collisions is studied. We consider the boost-invariant cylindrically symmetric systems and the effects of the…

Nuclear Theory · Physics 2009-11-10 Mikolaj Chojnacki , Wojciech Florkowski , Tamas Csorgo

High-energy heavy-ion physics and low-energy nuclear structure physics have historically been disconnected fields. The hydrodynamic description of the quark-gluon plasma (QGP) requires input from nuclear structure to model the initial…

Nuclear Theory · Physics 2025-12-08 T. Duguet , G. Giacalone , V. Somà , Y. Zhou

The power spectrum of heavy ion collisions is investigated by studying initial state fluctuations on top of a smooth hydrodynamic flow. In particular, the stability of the location of the first minimum of the power spectrum and the…

Nuclear Theory · Physics 2014-11-26 Tyler Gorda , Paul Romatschke

We give a detailed description of electrodynamics as an emergent theory from condensed-matter-like structures, not only {\it per se} but also as a warm-up for the study of the much more complex case of gravity. We will concentrate on two…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gil Jannes

Equilibrium thermodynamics is grounded in the law of energy conservation, with a specific focus on how systems exchange energy with their environment during transitions between equilibrium states. These transitions are typically…

Statistical Mechanics · Physics 2024-08-19 Karol Makuch

The observation of seeming hydrodynamic-like behavior in proton-proton and proton-nucleus collisions presents us with the conceptual problem of how the initial state of such a hydrodynamic evolution should be characterized. This is an issue…

High Energy Physics - Phenomenology · Physics 2025-11-07 Gabriel Rabelo-Soares , Gojko Vujanovic , Giorgio Torrieri

We discuss a model for the energy distribution and the early space-time evolution of a heavy ion collision. We estimate the gluon field generated in the wake of hard processes and through primordial fluctuations of the color charges in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Rainer J. Fries , Joseph I. Kapusta , Yang Li

We derive a Moyal dynamical equation that describes exact time evolution in generic (inhomogeneous) noninteracting spin-chain models. Assuming quasistationarity, we develop a hydrodynamic theory. The question at hand is whether some…

Statistical Mechanics · Physics 2018-01-10 Maurizio Fagotti

Recent developments based on relativistic hydrodynamic models in high energy heavy ion collisions are discussed. I focus especially on how hydrodynamics works at RHIC energies and how one can use the most of it in analyses of jet quenching…

Nuclear Theory · Physics 2010-11-30 Tetsufumi Hirano

We review a dynamical approach to non-equilibrium MD (D-NEMD). We show how, using a proper simulation setup, is possible to treat interesting cases in which the initial condition is a stationary non-equilibrium state produced by a suitable…

Computational Physics · Physics 2015-05-27 Sergio Orlandini , Simone Meloni , Giovanni Ciccotti