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We give a pedagogical review of relativistic hydrodynamics relevant to relativistic heavy ion collisions. Topics discussed include linear response theory derivation of 2nd order viscous hydrodynamics including the Kubo formulas, kinetic…

High Energy Physics - Phenomenology · Physics 2015-07-22 Sangyong Jeon , Ulrich Heinz

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon

A new formula to calculate the transport coefficients of the causal dissipative hydrodynamics is derived by using the projection operator method (Mori-Zwanzig formalism) in [T. Koide, Phys. Rev. E75, 060103(R) (2007)]. This is an extension…

Statistical Mechanics · Physics 2009-02-12 T. Koide , T. Kodama

We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the…

High Energy Physics - Theory · Physics 2021-04-15 Martin Ammon , Sebastian Grieninger , Juan Hernandez , Matthias Kaminski , Roshan Koirala , Julian Leiber , Jackson Wu

We study the radial flow of retarded Green's function of energy-momentum tensor and $R$-current of dual gauge theory in presence of generic higher derivative terms in bulk Lagrangian. These are first order non-linear Riccati equations. We…

High Energy Physics - Theory · Physics 2014-11-21 Nabamita Banerjee , Suvankar Dutta

We present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including the effects of polarization, electric fields, and the derivative expansion. We enumerate the transport coefficients at leading…

High Energy Physics - Theory · Physics 2017-08-10 Juan Hernandez , Pavel Kovtun

In the causal theory of relativistic dissipative fluid dynamics, there are conditions on the equation of state and other thermodynamic properties such as the second-order coefficients of a fluid that need to be satisfied to guarantee that…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

Transport coefficients can be obtained from 2-point correlators using the Kubo formulae. It has been shown that the full leading order result for electrical conductivity and (QCD) shear viscosity is contained in the re-summed 2-point…

High Energy Physics - Phenomenology · Physics 2011-10-07 M. E. Carrington

We review the Kubo formulae relevant to study anomalous transport properties of relativistic fluids. We apply this formalism to perform a computation of the transport coefficients in a holographic massive gravity model including vorticity…

High Energy Physics - Theory · Physics 2017-04-26 Eugenio Megias

We study second order relativistic viscous hydrodynamics in 4-dimensional conformal field theories. We derive Kubo-type relations for second order hydrodynamic coefficients in terms of 3-point stress tensor retarded correlators. For N=4…

High Energy Physics - Theory · Physics 2015-05-28 Peter Arnold , Diana Vaman , Chaolun Wu , Wei Xiao

We calculate all transport coefficients of second order transient hydrodynamics in two effective kinetic theory models: a hadron-resonance gas and a quasiparticle model with thermal masses tuned to reproduce QCD thermodynamics. We compare…

Nuclear Theory · Physics 2024-09-09 Gabriel S. Rocha , Gabriel S. Denicol

We derive the multi-component second-order dissipative relativistic hydrodynamic equations using the moment-expansion method. By computing the transport coefficients using hard-sphere interactions, we investigate the role of multiple…

High Energy Physics - Phenomenology · Physics 2022-07-15 Jin Hu , Shuzhe Shi

Conductivities and Hall coefficients of two dimensional hard core bosons are calculated using the thermodynamic expansions of Kubo formulas. At temperatures above the superfluid transition, the resistivity rises linearly and is weakly…

Strongly Correlated Electrons · Physics 2024-01-12 Sauri Bhattacharyya , Ayush De , Snir Gazit , Assa Auerbach

Thermal transport in classical fluids is analyzed in terms of a Higher-Order Generalized Hydrodynamics (or Mesoscopic Hydro-Thermodynamics), that is, depending on the evolution of the energy density and its fluxes of all orders. It is…

Statistical Mechanics · Physics 2020-04-16 Cloves G. Rodrigues , Carlos A. B. Silva , Jose Galvao Ramos , Roberto Luzzi

Hydrodynamics is a powerful emergent theory for the large-scale behaviours in many-body systems, quantum or classical. It is a gradient series expansion, where different orders of spatial derivatives provide an effective description on…

Statistical Mechanics · Physics 2023-06-07 Jacopo De Nardis , Benjamin Doyon

The Hamiltonian formulation of superfluids based on noncanonical Poisson brackets is studied in detail. The assumption that the momentum density is proportional to the flow of the conserved energy is shown to lead to the covariant…

High Energy Physics - Phenomenology · Physics 2008-11-26 Manuel A. Valle

We investigate coefficients in the Israel-Stewart's causal hydrodynamics and discuss the way to calculate them with a microscopic theory. Based on the hadro-molecular simulation based on an event generator URASiMA, we evaluate the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shin Muroya

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

A recently introduced particle-based model for fluid flow, called Stochastic Rotation Dynamics, can be made Galilean invariant by introducing a random shift of the computational grid before collisions. In this paper, it is shown how the…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

The details of second-order partial derivatives of rigid-body Inverse/Forward dynamics are provided. Several properties and identities using Spatial Vector Algebra are listed, along with their detailed derivations. The expressions build…

Robotics · Computer Science 2023-08-01 Shubham Singh , Ryan P. Russell , Patrick M. Wensing