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Existing investigations of the anomalous Hall effect i.e. a current flowing transverse to the electric field in the absence of an external magnetic field) are concerned with the transport current. However, for many applications one needs to…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 P. G. Silvestrov , P. Recher

In the above paper the author treats the boundary layer flow along a vertical flat plate, immersed in a Darcy Brinkman Forchheimer porous medium. The porosity and the permeability of the porous medium are variable across the boundary layer.…

Fluid Dynamics · Physics 2014-04-23 Asterios Pantokratoras

The nonlinear Hall effect (NLHE) has been detected in various of condensed matter systems. Unlike linear Hall effect, NLHE may exist in physical systems with broken inversion symmetry in the crystal. On the other hand, real space spin…

Strongly Correlated Electrons · Physics 2024-10-15 Wen-Tao Hou , Jiadong Zang

Motivated by recent experimental observations, we consider a steady-state Prandtl-Blasius boundary layer flow with polymers above a slightly heated horizontal plate and study how the heat transport might be affected by the polymers. We…

Chaotic Dynamics · Physics 2015-05-27 Roberto Benzi , Emily S. C. Ching. , Vivien W. S. Chu

We study the Lie point symmetries and the similarity transformations for the partial differential equations of the nonlinear one-dimensional magnetohydrodynamic system with the Hall term known as HMHD system. For this 1+1 system of partial…

Plasma Physics · Physics 2021-06-08 Andronikos Paliathanasis

Of concern in the paper is a study of steady incompressible viscoelastic and electrically conducting fluid flow and heat transfer in a parallel plate channel with stretching walls in the presence of a magnetic field applied externally. The…

Fluid Dynamics · Physics 2010-07-08 J. C. Misra , G. C. Shit , H. J. Rath

In the presence of magnetic helicity, inverse transfer from small to large scales is well known in magnetohydrodynamic (MHD) turbulence and has applications in astrophysics, cosmology, and fusion plasmas. Using high resolution direct…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-23 Axel Brandenburg , Tina Kahniashvili , Alexander G. Tevzadze

In the paper [Chaos, Solitons & Fractals, 2006, vol. 30, pp. 851-858]the authors treat the boundary layer flow of a micropolar fluid along a horizontal flat plate with blowing or suction. The fluid viscosity and thermal conductivity are…

Fluid Dynamics · Physics 2007-05-23 Asterios Pantokratoras

The present paper uses the Galerkin Finite Element Method to numerically study the triple diffusive boundary layer flow of homogenous nanofluid over power-law stretching sheet with the effect of external magnetic field. The fluid is…

Fluid Dynamics · Physics 2017-08-21 Rangoli Goyal , Rama Bhargava

The Hall effects comprise one of the oldest but most vital fields in condensed matter physics, and they persistently inspire new findings, such as quantum Hall effects and topological phases of matter. The recently discovered nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Z. Z. Du , Hai-Zhou Lu , X. C. Xie

High-speed vehicles experience a highly challenging environment in which the free-stream Mach number and surface temperature greatly influence aerodynamic drag and heat transfer. The interplay of these two parameters strongly affects the…

Fluid Dynamics · Physics 2024-02-29 Michele Cogo , Umberto Baù , Mauro Chinappi , Matteo Bernardini , Francesco Picano

Drift-reduced MHD models are widely used to study magnetised plasma phenomena, in particular for magnetically confined fusion applications, as well as in solar and astrophysical research. This letter discusses the choice of Ohm's law in…

Plasma Physics · Physics 2021-11-17 B. D. Dudson , S. L. Newton , J. T. Omotani , J. Birch

In the context of the relaxation time approximation to Boltzmann transport theory, we examine the behavior of the Hall number, $n_H$, of a metal in the neighborhood of a Lifshitz transition from a closed Fermi surface to open sheets. We…

Strongly Correlated Electrons · Physics 2017-08-02 Akash V. Maharaj , Ilya Esterlis , Yi Zhang , B. J. Ramshaw , S. A. Kivelson

We review recent theoretical developments on the nanoscale radiative heat transfer in magneto-optical many-particle systems. We discuss in detail the circular heat flux, the giant magneto-resistance effect, the persistent heat current, and…

Mesoscale and Nanoscale Physics · Physics 2019-04-30 Annika Ott , Riccardo Messina , Philippe Ben-Abdallah , Svend-Age Biehs

Based on existing theoretical model and by considering our longitudinal nonlinear response function, we derive a nonliear equation in which the mixed state Hall resistivity can be expressed as an analytical function of magnetic field,…

Superconductivity · Physics 2009-11-07 H. Y. Xu , Z. Qi , W. Wang , D. L. Yin , F. R. Wang , C. Y. Li

We investigate the importance of ambipolar diffusion and Hall currents for high-resolution comprehensive ('realistic') photospheric simulations. To do so we extended the radiative magnetohydrodynamics code \emph{MURaM} to use the…

Solar and Stellar Astrophysics · Physics 2015-06-04 Mark C. M. Cheung , Robert H. Cameron

The three-dimensional (3D) Hall magnetohydrodynamics (HMHD) equations are often used to study turbulence in the solar wind. Some earlier studies have investigated the statistical properties of 3D HMHD turbulence by using simple shell models…

Space Physics · Physics 2022-10-12 Sharad K Yadav , Hideaki Miura , Rahul Pandit

The current distribution is studied for a finite-width two-dimensional system of Hall electrons, with a clear distinction drawn between the equilibrium edge current and the Hall current. It is pointed out that both the distribution and…

Condensed Matter · Physics 2009-10-28 K. Shizuya

In this paper, we establish the mathematical validity of the Prandtl boundary layer theory for a class of nonlinear plane parallel flows of viscous incompressible magnetohydrodynamic (MHD) flow with no-slip boundary condition of velocity…

Analysis of PDEs · Mathematics 2021-03-17 Shijin Ding , Zhilin Lin , Dongjuan Niu

Impulse formulations of Hall magnetohydrodynamic (MHD) equations are developed. The Lagrange invariance of a generalized ion magnetic helicity is established for Hall MHD. The physical implications of this Lagrange invariant are discussed.…

Plasma Physics · Physics 2009-11-13 Bhimsen K. Shivamoggi
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