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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

The expressions of the shear viscosity and the bulk viscosity components in the presence of an arbitrary external magnetic field for a system of hot charged scalar Bosons (spin-0) as well as for a system of hot charged Dirac Fermions…

High Energy Physics - Phenomenology · Physics 2021-05-26 Snigdha Ghosh , Sabyasachi Ghosh

The evaluation of hydrodynamic transport coefficients in relativistic field theory, and the emergence of an effective kinetic theory description, is examined. Even in a weakly-coupled scalar field theory, interesting subtleties arise at…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon , Laurence G. Yaffe

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 prove that a diagrammatic evaluation of the Kubo formula for the electronic transport conductivity due the exchange of bosonic excitations, in the usual conserving ladder approximation, yields a result consistent with the Boltzmann…

Statistical Mechanics · Physics 2015-05-13 D. Belitz , T. R. Kirkpatrick

Conventional wisdom teaches us that the electrical conductivity in a material is the inverse of its resistivity. In this work, we show that when both of these transport coefficients are defined in linear response through the Kubo formulae…

High Energy Physics - Theory · Physics 2025-03-04 Giorgio Frangi , Sašo Grozdanov

In this paper we obtain holographic formulas for the transport coefficients $\kappa$ and $\tau_\pi$ present in the second-order derivative expansion of relativistic hydrodynamics in curved spacetime associated with a non-conformal strongly…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stefano I. Finazzo , Romulo Rougemont , Hugo Marrochio , Jorge Noronha

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 derive from first principles the Kubo formulas for the stress-stress response function at zero wavevector that can be used to define the full complex frequency-dependent viscosity tensor, both with and without a uniform magnetic field.…

Statistical Mechanics · Physics 2013-05-30 Barry Bradlyn , Moshe Goldstein , N. Read

The first order hydrodynamic evolution equations for the shear stress tensor, the bulk viscous pressure and the charge current have been studied for a system of quarks and gluons, with a non-vanishing quark chemical potential and finite…

High Energy Physics - Phenomenology · Physics 2020-07-16 Samapan Bhadury , Manu Kurian , Vinod Chandra , Amaresh Jaiswal

In this work we elaborate on two recently discovered invariance principles, according to which transport coefficients are, to a large extent, independent of the microscopic definition of the densities and currents of the conserved…

Statistical Mechanics · Physics 2021-07-20 Federico Grasselli , Stefano Baroni

We investigate different methods to compute the DC conductance in a quantum wire doped with some impuritied by exploiting the integrability of the theories under consideration. As an essential ingredient in all methods we evaluate the…

Condensed Matter · Physics 2007-05-23 Olalla A. Castro-Alvaredo , Andreas Fring

We introduce dissipative effects in the effective field theory of hydrodynamics. We do this in a model-independent fashion by coupling the long-distance degrees of freedom explicitly kept in the effective field theory to a generic sector…

High Energy Physics - Theory · Physics 2013-11-13 Solomon Endlich , Alberto Nicolis , Rafael A. Porto , Junpu Wang

Determining the transport properties of Quark-Gluon Plasma is one of the most important aspects of relativistic heavy ion collision studies. Field-theoretical calculations of the transport coefficients such as the shear and bulk viscosities…

High Energy Physics - Phenomenology · Physics 2026-05-07 Sangyong Jeon , Alina Czajka , Juhee Hong

The calculation of the transport coefficients of the strong quark-gluon plasma (sQGP), i.e. sheer viscosity $\eta$, heat conductivity $\gk$ and bulk viscosity $\zeta$, in the first Chapman-Enskog approximation is presented. Their…

High Energy Physics - Phenomenology · Physics 2012-10-04 Stefano Mattiello

In the classical transport theory, the coefficients such as the diffusion, thermal conductivity and viscosity of fluid are usually expressed in a form proportional to the mean free path of molecules. We point out that this may cause a great…

Statistical Mechanics · Physics 2021-12-14 Xiaofeng Yang , Luyao Shang , Jian Sui

We study the transport properties of strongly interacting matter in the context of ultrarelativistic heavy ion collision experiments. We calculate the transport coefficients viz. shear viscosity ($\eta$) and electrical conductivity…

High Energy Physics - Phenomenology · Physics 2017-06-01 Lata Thakur , P. K. Srivastava , Guru Prakash Kadam , Manu George , Hiranmaya Mishra

We compute the transport coefficients that appear in the fluid-dynamical equations for the bulk viscous pressure and shear-stress tensor using the 14-moment approximation in the limit of small, but finite, masses. In this limit, we are able…

Nuclear Theory · Physics 2015-06-19 G. S. Denicol , S. Jeon , C. Gale

Using diagrammatic methods, we show how the Ward identity can be used to constrain the ladder kernel in transport coefficient calculations. More specifically, we use the Ward identity to determine the necessary diagrams that must be…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. -S. Gagnon , S. Jeon

The transport coefficients of causal relativistic dissipative fluid dynamics are calculated both in a field-theoretical and a kinetic approach. We find that the results from the traditional kinetic calculation by Israel and Stewart are…

High Energy Physics - Theory · Physics 2013-05-24 Gabriel S. Denicol , Xu-Guang Huang , Tomoi Koide , Dirk H. Rischke
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