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The scaling theory of the transitions between plateaus of the Hall conductivity in the integer Quantum Hall effect is reviewed. In the model of two-dimensional noninteracting electrons in strong magnetic fields the transitions are…

Condensed Matter · Physics 2016-08-31 Bodo Huckestein

We establish a theoretical framework for predicting friction and heat transfer coefficients in variable-properties forced air convection. Drawing from concepts in high-speed wall turbulence, which also involves significant temperature,…

Fluid Dynamics · Physics 2024-12-18 Davide Modesti , Sergio Pirozzoli

Materials subjected to a magnetic field exhibit the Hall effect, a phenomenon studied and understood in fine detail. Here we report a qualitative breach of this classical behavior in electron systems with high viscosity. The viscous fluid…

The current flow along the boundary of graphene stripes in a perpendicular magnetic field is studied theoretically by the nonequilibrium Green's function method. In the case of specular reflections at the boundary, the Hall resistance shows…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 Thomas Stegmann , Axel Lorke

In the composite fermion model of the fractional quantum Hall effect, composite fermions experience, in addition to the usual potential disorder, also a magnetic flux disorder. Motivated by this, we investigate the localization properties…

Condensed Matter · Physics 2015-06-25 X. C. Xie , D. Z. Liu , J. K. Jain

In this paper, we first establish a new fractional magnetohydrodynamic (MHD) coupled flow and heat transfer model for a generalized second-grade fluid. This coupled model consists of a fractional momentum equation and a heat conduction…

Numerical Analysis · Mathematics 2022-11-29 Xiaoqing Chi , Hui Zhang , Xiaoyun Jiang

We discuss the effects of nonhomogeneous magnetic fields in liquid metal flows in two different configurations. In the first configuration, we briefly report the impact of fringing magnetic fields in a turbulent Rayleigh-B{\'e}nard…

Fluid Dynamics · Physics 2023-09-21 Shashwat Bhattacharya , Seyed Loghman Sanjari , Dmitry Krasnov , Thomas Boeck

We study rotating thermal convection in spherical shells. We base our analysis on a set of about 450 direct numerical simulations of the (magneto)hydrodynamic equations under the Boussinesq approximation. The Ekman number ranges from…

Earth and Planetary Astrophysics · Physics 2016-01-20 Rakesh K. Yadav , Thomas Gastine , Ulrich R. Christensen , Lucia Duarte , Ansgar Reiners

We study the effect of a magnetic field on the thermal relaxation of non-interacting small monodomain particle systems particles with a distribution of anisotropy constants and random easy-axes directions. Numerical calculations of the…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta

The temperature and scale dependence of resistivities in the standard scaling theory of the integer quantum Hall effect is discussed. It is shown that recent experiments, claiming to observe a discrepancy with the global phase diagram of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein

The effects of the Ohmic and magnetic density currents are investigated in the linearized Euler-Heisenberg electrodynamics. The linearization is introduced through an external magnetic field, in which the vector potential of the…

Classical Physics · Physics 2024-05-29 G. R. Santos , M. J. Neves

We investigate the effect of numerical magnetic diffusion in magnetohydrodynamic simulations of magnetically supported molecular clouds. To this end, we have performed numerical studies on adaptive mesh isothermal simulations of marginally…

Astrophysics of Galaxies · Physics 2022-01-26 Guido Granda-Muñoz , Enrique Vázquez-Semadeni , Gilberto C. Gómez , Manuel Zamora-Avilés

Various exact laws governing compressible magnetohydrodynamic (MHD) and Hall-MHD (CHMHD) turbulence have been derived in recent years. Other than their fundamental theoretical interest, these laws are generally used to estimate the energy…

Plasma Physics · Physics 2022-03-30 R. Ferrand , F. Sahraoui , S. Galtier , N. Andrés , P. Mininni , P. Dmitruk

The magnetohydrodynamics (MHD) equations plus 'non-ideal' (Ohmic, Hall, ambipolar) resistivities are widely used to model weakly-ionized astrophysical systems. We show that if gradients in the magnetic field become too steep, the implied…

Earth and Planetary Astrophysics · Physics 2025-10-09 Philip F. Hopkins , Jonathan Squire , Raphael Skalidis , Nadine H. Soliman

We investigate thermodynamics of a non-interacting quantum field in a static black hole background. The horizon divergences are regulated by the brick wall method, which consists of subjecting the quantum field to Dirichlet boundary…

High Energy Physics - Theory · Physics 2025-09-22 Emine Ertugrul , Levent Akant , Birses Debir

The Hall effect, ever intriguing since its discovery, has spurred the exploration of its phenomena, intensified by advances in topology and novel materials. Differentiating the ordinary Hall effect from extraordinary properties like the…

Materials Science · Physics 2025-09-23 ShengNan Zhang , Zhihao Liu , Hanqi Pi , Zhong Fang , Hongming Weng , QuanSheng Wu

By measuring magnetoresistance and Hall effect in classically moderate perpendicular magnetic field in Si-MOSFET-type macroscopic antidot array we found a novel effect: nonlinear with field, temperature- and density-dependent Hall…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 A. Yu. Kuntsevich , A. V. Shupltetsov , M. S. Nunuparov

It is well known that non-ideal magnetohydrodynamic effects are important in the dynamics of molecular clouds: both ambipolar diffusion and possibly the Hall effect have been identified as significant. We present the results of a suite of…

Astrophysics of Galaxies · Physics 2014-11-20 T. P. Downes , S. O'Sullivan

We propose a mechanism for the fast dissipation of magnetic fields which is effective in a stratified medium where ion motions can be neglected. In such a medium, the field is frozen into the electrons and Hall currents prevail. Although…

Astrophysics · Physics 2009-10-31 S. I. Vainshtein , S. M. Chitre , A. V. Olinto

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi