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In this paper, we give the covariant formulation of second gradient electrodynamics, which is a generalized electrodynamics of second order including derivatives of higher order. The relativistic form of the field equations, the…

Classical Physics · Physics 2020-11-23 Markus Lazar , Jakob Leck

Compressible isothermal magnetohydrodynamic turbulence is analyzed under the assumption of statistical homogeneity and in the asymptotic limit of large kinetic and magnetic Reynolds numbers. Following Kolmogorov we derive an exact relation…

Fluid Dynamics · Physics 2015-06-12 Supratik Banerjee , Sébastien Galtier

The Kubo formula is a cornerstone in our understanding of near-equilibrium transport phenomena. While conceptually elegant, the application of Kubo's linear-response theory to interesting problems is hindered by the need for algorithms that…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Santiago Giménez de Castro , João M. Viana Parente Lopes , Aires Ferreira , D. A. Bahamon

The linear response of two-dimensional electron gas in a perpendicular magnetic field in the presence of a spatially dependent classically smooth electrostatic potential is studied theoretically, by application of the Kubo formula for…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev

Within the relaxation time approximation under a constant mass profile, we investigate the collective dynamics of a system of massive relativistic particles described by the Maxwell-Boltzmann equilibrium distribution. We analytically derive…

Nuclear Theory · Physics 2025-07-16 Ali Hataei , Roya Heydari , Farid Taghinavaz

Using quantum Monte Carlo, we study the non-equilibrium transport of magnetization in large open strongly correlated quantum spin $\frac{1}{2}$ systems driven by purely dissipative processes that conserve the uniform or staggered…

Strongly Correlated Electrons · Physics 2015-09-18 Debasish Banerjee , Florian Hebenstreit , Fu-Jiun Jiang , Uwe-Jens Wiese

We conduct a numerical study of relativistic viscous fluid dynamics in the Density Frame for one-dimensional fluid flows. The Density Frame is a formulation of relativistic viscous hydrodynamics that is first-order in time, requires no…

In this paper we consider the global well-posedness of compressible magnetohydrodynamic system in $\R^d$ with $d\geq2$, in the framework of the critical Besov spaces. We can show that if the initial data, the shear viscosity and the…

Analysis of PDEs · Mathematics 2018-05-01 Jinlu Li , Yanghai Yu , Weipeng Zhu

A version of Noether's second theorem using Lagrange multipliers is used to investigate fluid relabelling symmetries conservation laws in magnetohydrodynamics (MHD). We obtain a new generalized potential vorticity type conservation equation…

Mathematical Physics · Physics 2019-02-20 G. M. Webb , R. L. Mace

An analytical description of non-equilibrium phenomena in interacting quantum systems is rarely possible. Here we present one example where such a description can be achieved, namely the ferromagnetic Kondo model. In equilibrium, this model…

Strongly Correlated Electrons · Physics 2009-12-01 Andreas Hackl , Stefan Kehrein , Matthias Vojta

We develop a new framework for the modelling of charged fluid dynamics in general relativity. The model, which builds on a recently developed variational multi-fluid model for dissipative fluids, accounts for relevant effects like the…

General Relativity and Quantum Cosmology · Physics 2017-05-31 N. Andersson , K. Dionysopoulou , I. Hawke , G. L. Comer

In this paper, we formally demonstrate that the non-equilibrium density matrix developed by Hershfield for the steady state has the form of a McLennan-Zubarev non-equilibrium ensemble. The correction term in this pseudo equilibrium…

Statistical Mechanics · Physics 2014-02-26 H. Ness

The non-commutative theory of charge transport in mesoscopic aperiodic systems under magnetic fields, developed by Bellissard, Shulz-Baldes and collaborators in the 90's, is complemented with a practical numerical implementation. The…

Statistical Mechanics · Physics 2012-10-25 Yu Xue , Emil Prodan

A self-consistent, thermodynamic approach is employed to derive the wave energy of a magnetohydrodynamic system within the harmonic approximation and to obtain the familiar dispersion relation from the resulting equation of motion. The…

Plasma Physics · Physics 2008-02-03 S. Chatterjee , P. S. Joarder

In this work the shear viscosity of strongly interacting matter is calculated within a two-flavor Nambu--Jona-Lasinio model as a function of temperature and chemical potential. The general Kubo formula is applied, incorporating the full…

High Energy Physics - Phenomenology · Physics 2015-10-20 Robert Lang , Norbert Kaiser , Wolfram Weise

In this paper we study equations of magnetic hydrodynamics with a stress tensor. We interpret this system as the generalized Euler equation associated with an abelian extension of the Lie algebra of vector fields with a non-trivial…

Mathematical Physics · Physics 2009-11-10 Yuly Billig

In this paper, we propose a conservative nonconforming virtual element method for the full stationary incompressible magnetohydrodynamics model. We leverage the virtual element satisfactory divergence-free property to ensure mass…

Numerical Analysis · Mathematics 2024-10-25 Xiaojing Dong , Yunqing Huang , Tianwen Wang

We obtain general analytical solutions of third-order viscous hydrodynamic equations for Bjorken and Gubser flows in systems with vanishing bulk viscosity and chemical potential, and having a constant shear relaxation time. We also…

Nuclear Theory · Physics 2019-02-20 Chandrodoy Chattopadhyay , Amaresh Jaiswal , Sunil Jaiswal , Subrata Pal

Exact solutions of the equation governing the equilibrium magetohydrodynamic states of an axisymmetric plasma with incompressible flows of arbitrary direction [H. Tasso and G.N.Throumoulopoulos, Phys. Pasmas {\bf 5}, 2378 (1998)] are…

Plasma Physics · Physics 2015-06-26 G. N. Throumoulopoulos , G. Poulipoulis , G. Pantis , H. Tasso

We calculate the Aslamazov-Larkin term of the conductivity in the presence of a magnetic field applied along the c-axis from the time-dependent Ginzburg-Landau equation perturbatively using two approaches. In the first a uniform electric…

Superconductivity · Physics 2016-08-31 T. Blum , M. A. Moore
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