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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

We calculate the electrical and thermal conductivities and the thermoelectric coefficient of a class of strongly interacting 2+1 dimensional conformal field theories with anti-de Sitter space duals. We obtain these transport coefficients as…

High Energy Physics - Theory · Physics 2008-11-26 Sean A. Hartnoll , Christopher P. Herzog

We compute the first-order hydrodynamic transport coefficients (shear viscosity $\eta$, bulk viscosity $\zeta$, and charge conductivity $\sigma$) for a broad class of strongly coupled, four-dimensional charged relativistic gauge theory…

High Energy Physics - Theory · Physics 2026-02-09 Alex Buchel , Sera Cremonini , Mohammad Moezzi , George Tringas

We consider the strongly coupled limit of conformal gauge theory plasmas with conserved U(1) charges which have a gravity dual. We show that, under mild restrictions, the second order transport coefficients of such theories satisfy a…

High Energy Physics - Theory · Physics 2009-12-10 Michael Haack , Amos Yarom

Symmetry relations are manifestations of fundamental principles and constitute cornerstones of modern physics. An example are the Onsager relations between coefficients connecting thermodynamic fluxes and forces, central to transport theory…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 J. Matthews , F. Battista , D. Sanchez , P. Samuelsson , H. Linke

A generalized Ohm's law is derived to treat strongly magnetized plasmas in which the electron gyrofrequency significantly exceeds the electron plasma frequency. The frictional drag due to Coulomb collisions between electrons and ions is…

Plasma Physics · Physics 2021-10-27 Scott D. Baalrud , Trevor Lafleur

We propose that for conformal field theories admitting gravity duals, the thermal conductivity is fixed by the central charges in a universal manner. Though we do not have a proof as yet, we have checked our proposal against several…

High Energy Physics - Theory · Physics 2014-11-20 Sachin Jain

The theory of magnetohydrodynamics is extended to the cases of a plasma of separate magnetic and electric charges, as well as to a plasma of dyons respectively. In both these cases the system possesses electric-magnetic duality symmetry. In…

High Energy Physics - Theory · Physics 2009-10-30 Omduth Coceal , Wafic A. Sabra , Steven Thomas

We show how a Hall viscosity induced by a magnetic field can be generated in strongly coupled theories with a holographic dual. This is achieved by considering parity-breaking higher derivative terms in the gravity dual. These terms couple…

High Energy Physics - Theory · Physics 2019-10-02 Carlos Hoyos , Francisco Peña-Benitez , Piotr Witkowski

We generalise the relativistic expression of Ohm's law by studying a multi-fluid system of charged species using the 1+3 covariant formulation of general relativistic electrodynamics. This is done by providing a fully relativistic, fully…

Astrophysics · Physics 2009-11-13 Alejandra Kandus , Christos G. Tsagas

We consider thermal plasmas in a large class of superconformal gauge theories described by a holographic dual geometry of the form $AdS_5\times M_5$. In particular, we demonstrate that all of the thermodynamic properties and hydrodynamic…

High Energy Physics - Theory · Physics 2008-11-26 Alex Buchel , Robert C. Myers , Miguel F. Paulos , Aninda Sinha

Based on the gauge/gravity correspondence we have calculated the thermoelectric kinetic and transport characteristics of the strongly interacting materials in the presence of perpendicular magnetic field. The 3+1 dimensional system with…

High Energy Physics - Theory · Physics 2018-02-14 Marek Rogatko , Karol. I. Wysokinski

We derive relations between viscosities and momentum conductivity in $2+1$ dimensions by finding a generalization of holographic Ward identities for the energy-momentum tensor. The generalization is novel in the sense that it goes beyond…

High Energy Physics - Theory · Physics 2016-01-27 Carlos Hoyos , David Rodríguez Fernández

We study second-order hydrodynamic transport in strongly coupled non-conformal field theories with holographic gravity duals in asymptotically anti-de Sitter space. We first derive new Kubo formulae for five second-order transport…

High Energy Physics - Theory · Physics 2017-03-28 Philipp Kleinert , Jonas Probst

A relativistic fluid in 3+1 dimensions with a global $U(1)$ symmetry admits nine independent static susceptibilities at the second order in the hydrodynamic derivative expansion, which capture the response of the fluid in thermal…

High Energy Physics - Theory · Physics 2021-08-26 Sebastian Grieninger , Ashish Shukla

We consider a gravity dual description of time dependent, strongly interacting large-Nc N=4 SYM. We regard the gauge theory system as a fluid with shear viscosity. Our fluid is expanding in one direction following the Bjorken's picture that…

High Energy Physics - Theory · Physics 2009-11-11 Shin Nakamura , Sang-Jin Sin

Hamiltonian systems can be classified into ten classes, in terms of the presence or absence of time-reversal symmetry, particle-hole symmetry and sublattice/chiral symmetry. We construct a quantum coherent scattering theory of linear…

Mesoscale and Nanoscale Physics · Physics 2012-11-01 Philippe Jacquod , Robert S. Whitney , Jonathan Meair , Markus Büttiker

We show that there are universal high-temperature relations for transport coefficients of plasmas described by a wide class of field theories with gravity duals. These theories can be viewed as strongly coupled large-Nc conformal field…

High Energy Physics - Theory · Physics 2009-09-25 Aleksey Cherman , Abhinav Nellore

The validity of conventional Ohm's law is tested in the context of a rapidly evolving quark-gluon plasma produced in heavy-ion collisions. Here we discuss the electromagnetic response using an analytical solution in kinetic theory. As…

Nuclear Theory · Physics 2022-10-25 Igor A. Shovkovy

In this paper, based on the holographic techniques, we explore the hydrodynamics of charge diffusion phenomena in non commutative $ \mathcal{N}=4 $ SYM plasma at strong coupling. In our analysis, we compute the $ R $ charge diffusion rates…

High Energy Physics - Theory · Physics 2015-07-23 Dibakar Roychowdhury
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