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The local equilibrium approach previously developed by the Authors [J. Mabillard and P. Gaspard, J. Stat. Mech. (2020) 103203] for matter with broken symmetries is applied to crystalline solids. The macroscopic hydrodynamics of crystals and…

Statistical Mechanics · Physics 2021-07-07 Joel Mabillard , Pierre Gaspard

Transport coefficients of causal dissipative relativistic fluid dynamics (CDR) are studied in quenched lattice simulations. CDR describes the behavior of relativistic non-Newtonian fluids in which the relaxation time appears as a new…

High Energy Physics - Lattice · Physics 2010-12-13 Yu Maezawa , Hiroaki Abuki , Tetsuo Hatsuda , Tomoi Koide

We study the transport coefficients from the QCD Kondo effect in quark matter which contains heavy quarks as impurity particles. We estimate the coupling constant of the interaction between a light quark and a heavy quark at finite density…

High Energy Physics - Phenomenology · Physics 2018-01-03 Shigehiro Yasui , Sho Ozaki

Second-order dissipative hydrodynamic equations for each component of a multi-component system are derived using the entropy principle. Comparison of the solutions with kinetic transport results demonstrates validity of the obtained…

High Energy Physics - Theory · Physics 2015-06-05 Andrej El , Ioannis Bouras , Christian Wesp , Zhe Xu , Carsten Greiner

Hydrodynamics can be formulated in terms of a perturbative series in derivatives of the temperature, chemical potential, and flow velocity around an equilibrium state. Different formulations for this series have been proposed over the…

Nuclear Theory · Physics 2022-08-24 Gabriel S. Rocha , Gabriel S. Denicol , Jorge Noronha

We give an exact formulation for the transport coefficients of incommensurate two-dimensional atomic multilayer systems in the tight-binding approximation. This formulation is based upon the C* algebra framework introduced by Bellissard and…

Mathematical Physics · Physics 2017-06-28 Eric Cancès , Paul Cazeaux , Mitchell Luskin

We construct the hydrodynamics of quantum critical points with Lifshitz scaling. There are new dissipative effects allowed by the lack of boost invariance. The formulation is applicable, in general, to any fluid with an explicit breaking of…

High Energy Physics - Theory · Physics 2015-06-15 Carlos Hoyos , Bom Soo Kim , Yaron Oz

We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is…

Statistical Mechanics · Physics 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

Basic equations of nonequilibrium thermo field dynamics of dense quantum systems are presented. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.…

Nuclear Theory · Physics 2007-05-23 M. V. Tokarchuk , T. Arimitsu , A. E. Kobryn

We develop a set of kinetic equations for hydrodynamic fluctuations which are equivalent to nonlinear hydrodynamics with noise. The hydro-kinetic equations can be coupled to existing second order hydrodynamic codes to incorporate the…

Nuclear Theory · Physics 2018-03-14 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

The linear conductivity tensor for generic homogeneous, microscopic quantum models was formulated as a noncommutative Kubo formula in Refs. \cite{BELLISSARD:1994xj,Schulz-Baldes:1998vm,Schulz-Baldes:1998oq}. This formula was derived…

Disordered Systems and Neural Networks · Physics 2013-10-15 Emil Prodan

Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a…

Statistical Mechanics · Physics 2016-08-31 Hisao Hayakawa

We compute direct current (dc) thermoelectric transport coefficients in strongly coupled quantum field theories without long lived quasiparticles, at finite temperature and charge density, and disordered on long wavelengths compared to the…

High Energy Physics - Theory · Physics 2015-10-30 Andrew Lucas

I review what is required to compute transport coefficients in ultra-relativistic, weakly coupled gauge theories, at leading order in $g$, using kinetic theory. Then I discuss how the calculation would look in alternative approaches: the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Guy D. Moore

We describe a method for computing transport coefficients from the direct evaluation of large deviation function. This method is general, relying on only equilibrium fluctuations, and is statistically efficient, employing trajectory based…

Statistical Mechanics · Physics 2017-11-22 Chloe Ya Gao , David T. Limmer

This work further develops the properties of fractional differential forms. In particular, finite dimensional subspaces of fractional form spaces are considered. An inner product, Hodge dual, and covariant derivative are defined. Coordinate…

Mathematical Physics · Physics 2007-05-23 Kathleen Cotrill-Shepherd , Mark NAber

We determine the form of dissipative currents at the first order in relativistic spin hydrodynamics with finite chemical potential including gradients of the spin potential. Taking advantage of isotropy in the hydrodynamic local rest frame,…

Nuclear Theory · Physics 2025-11-14 Asaad Daher , Xin-Li Sheng , David Wagner , Francesco Becattini

Advection properties of passive particles in flows generated by point vortices are considered. Transport properties are anomalous with characteristic transport exponent $\mu \sim 1.5$. This behavior is linked back to the presence of…

Chaotic Dynamics · Physics 2007-05-23 Xavier Leoncini , Leonid Kuznetsov , George M. Zaslavsky

We use total energy-momentum conservation and the Bianchi identity (magnetic-flux conservation) to construct second-order relativistic magnetohydrodynamics in a Zubarev's non-equilibrium statistical operator (NESO) framework. We obtain all…

Fluid Dynamics · Physics 2025-12-17 Abhishek Tiwari , Binoy Krishna Patra

A user friendly scheme based on the quantum kinetic equation is developed for studying thermal transport phenomena in the presence of interactions and disorder. We demonstrate that this scheme is suitable for both a systematic perturbative…

Disordered Systems and Neural Networks · Physics 2015-05-14 Karen Michaeli , Alexander M. Finkel'stein
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