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This paper deals with the derivation and analysis of the the Hall Magneto-Hydrodynamic equations. We first provide a derivation of this system from a two-fluids Euler-Maxwell system for electrons and ions, through a set of scaling limits.…

Mathematical Physics · Physics 2014-04-08 Marion Arichetogaray , Pierre Degond , Amic Frouvelle , Jian-Guo Liu

We present two new results on relativistic hydrodynamics with anomalies and external electromagnetic fields, "Chiral MagnetoHydroDynamics" (CMHD). First, we study CMHD in four dimensions at second order in the derivative expansion assuming…

High Energy Physics - Theory · Physics 2013-05-29 Dmitri E. Kharzeev , Ho-Ung Yee

Active hydrodynamic theories are a powerful tool to study the emergent ordered phases of internally driven particles such as bird flocks, bacterial suspension and their artificial analogues. While theories of orientationally ordered phases…

Soft Condensed Matter · Physics 2019-03-06 Ananyo Maitra , Martin Lenz

In the framework of chiral kinetic theory (CKT), we consider a system of right- and left-handed Weyl fermions out of thermal equilibrium in a homogeneous weak magnetic field. We show that the Lorentz invariance implies a modification in the…

High Energy Physics - Theory · Physics 2020-05-20 Navid Abbasi , Kiarash Naderi , Farid Taghinavaz

We discuss the role of the U(1) axial symmetry for the phase structure of QCD at finite temperature. We expect that, above a certain critical temperature, also the U(1) axial symmetry will be restored. We will try to see if this transition…

High Energy Physics - Phenomenology · Physics 2017-08-23 Enrico Meggiolaro

We construct a structure-preserving finite element method and time-stepping scheme for inhomogeneous, incompressible magnetohydrodynamics (MHD). The method preserves energy, cross-helicity (when the fluid density is constant), magnetic…

Numerical Analysis · Mathematics 2020-12-09 Evan S. Gawlik , François Gay-Balmaz

Controlled creation of localized magnetic textures beyond conventional $\pi$-skyrmions is an important problem in the field of magnetism. Here by means of spin dynamics simulations, Monte Carlo simulations and harmonic transition state…

Mesoscale and Nanoscale Physics · Physics 2022-08-22 Vladyslav M. Kuchkin , Pavel F. Bessarab , Nikolai S. Kiselev

We derive a Noether current for the Eulerian variational principle of ideal non-barotropic magnetohydrodynamics (MHD). It was shown previously that ideal non-barotropic MHD is mathematically equivalent to a five function field theory with…

Fluid Dynamics · Physics 2020-12-03 Asher Yahalom , Hong Qin

We investigate the thermal properties of hadrons in two-color quantum chromodynamics (QC$_2$D) using the functional renormalization group (FRG) method, with particular focus on modifications of the $U(1)$ axial anomaly effects. The hadrons…

High Energy Physics - Phenomenology · Physics 2025-12-22 Gergely Fejős , Daiki Suenaga

Magneto conductivities in Weyl semimetals (WSM) in presence of small fields are studied using quasi-classical Boltzmann transport equations (BTE). Following such formalism here we consider irradiation via circularly polarized light on a…

Strongly Correlated Electrons · Physics 2022-10-11 Rounak Sen , Satyaki Kar

In this paper, we study analytically the process of external generation and subsequent free evolution of the lepton chiral asymmetry and helical magnetic fields in the early hot universe. This process is known to be affected by the Abelian…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-18 Maksym Sydorenko , Oleksandr Tomalak , Yuri Shtanov

The new nonlinear axionically extended version of the general relativistic magnetohydrodynamics is formulated. The self-consistent formalism of this theory is based on the introduction into the Lagrangian of the new unified scalar…

High Energy Physics - Phenomenology · Physics 2022-09-26 Timur Yu. Alpin , Alexander B. Balakin , Alexei V. Vorohov

When the right and the left handed Weyl points are separated in energy, they give rise to a non-dissipative charge current along the direction of a uniform applied magnetic field, even in the absence of an external electric field. This…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Pallab Goswami , Sumanta Tewari

2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a…

High Energy Physics - Theory · Physics 2023-09-20 Nabil Iqbal , Napat Poovuttikul

We propose the generally covariant action for the theory of a self-coupled complex scalar field and electromagnetism which by virtue of constraints is equivalent, in the regime of long wavelengths, to perfect magnetohydrodynamics (MHD). We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jacob D. Bekenstein , Gerold Betschart

Multi-Weyl semimetals are a kind of topological phase of matter with discrete Weyl nodes characterized by multiple monopole charges, in which the chiral anomaly, the anomalous nonconservation of an axial current, occurs in the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

Axial charge imbalance is an essential ingredient in novel effects associated with chiral anomaly such as chiral magnetic effects (CME). In a non-Abelian plasma with chiral fermions, local axial charge can be generated a) by topological…

High Energy Physics - Theory · Physics 2015-08-18 Ioannis Iatrakis , Shu Lin , Yi Yin

Chirality, a characteristic handedness that distinguishes 'left' from 'right', cuts widely across all of nature$^1$, from the structure of DNA$^2$ to opposite chirality of particles and antiparticles$^3$. In condensed matter chiral fermions…

The complete set of Maxwell's and hydrodynamic equations for the chiral electrons in Weyl semimetals is presented. The formulation of the Euler equation takes into account the explicit breaking of the Galilean invariance by the ion lattice.…

Strongly Correlated Electrons · Physics 2018-12-27 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

The catalysis of chiral symmetry breaking in the massless weakly coupled QED in a magnetic field at finite temperature is studied. The temperature of the symmetry restoration is estimated analytically as $T_c\simeq m_{dyn}$, where $m_{dyn}$…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. P. Gusynin , I. A. Shovkovy
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