Invariance of magnetic-field induced current density to a continuous transformation of the origin of the coordinate system

2006 ◽  
Vol 421 (1-3) ◽  
pp. 21-26 ◽  
Author(s):  
Alessandro Soncini ◽  
Paolo Lazzeretti ◽  
Riccardo Zanasi
Keyword(s):  
Magnetic Field ◽  
Coordinate System ◽  
Current Density ◽  
Induced Current ◽  
Continuous Transformation

Topological models of magnetic field induced current density field in small molecules

2009 ◽  
Vol 123 (3-4) ◽  
pp. 353-364 ◽  
Author(s):  
Stefano Pelloni ◽  
Paolo Lazzeretti ◽  
Riccardo Zanasi
Keyword(s):  
Magnetic Field ◽  
Small Molecules ◽  
Current Density ◽  
Density Field ◽  
Induced Current ◽  
Topological Models

scholarly journals Computation of the Induced Current Density Into the Human Body Due to Relative LF Magnetic Field Generated by Realistic Devices

2004 ◽  
Vol 40 (2) ◽  
pp. 643-646 ◽  
Author(s):  
R. Scorretti ◽  
N. Burais ◽  
O. Fabregue ◽  
A. Nicolas ◽  
L. Nicolas
Keyword(s):  
Magnetic Field ◽  
Current Density ◽  
Human Body ◽  
Induced Current

scholarly journals The B2 Structural Motif as a Tool for Modulating Ring Currents in Monocyclic Li Clusters

Chemistry ◽  
2021 ◽  
Vol 3 (3) ◽  
pp. 1063-1073
Author(s):  
Slađana Đorđević ◽  
Slavko Radenković
Keyword(s):  
Current Density ◽  
Structural Motif ◽  
Induced Current ◽  
Continuous Transformation ◽  
Structural Modifications ◽  
Ring Currents ◽  
Current Densities

Magnetically induced current densities, calculated at the M06-2X/def2-TZVP level using the diamagnetic-zero version of the continuous transformation of origin of current density (CTOCD-DZ) method, were employed to study the aromaticity in Li3B2− and Li4B2. It was found that the Li3/Li4 rings in Li3B2− and Li4B2 remarkably resemble the monocyclic Li3+ and Li42+ clusters. Unlike the parent Li3+ and Li42+ systems that sustain negligibly weak global current density circulation, the Li3B2− and Li4B2 clusters exhibit a strong diatropic current density. The present work demonstrates how structural modifications introduced by the B2 unit can be used for modulating the current density in cyclic Li-based clusters.

scholarly journals Topology of magnetic-field-induced current-density field in diatropic monocyclic molecules

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
Stefano Pelloni ◽  
Francesco Faglioni ◽  
Riccardo Zanasi ◽  
Paolo Lazzeretti
Keyword(s):  
Magnetic Field ◽  
Current Density ◽  
Density Field ◽  
Induced Current

scholarly journals Current density and molecular magnetic properties

2021 ◽  
Author(s):  
Dage Sundholm ◽  
Maria Dimitrova ◽  
Raphael Berger
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
External Magnetic Field ◽  
Present State ◽  
Current Density ◽  
State Of The Art ◽  
Quantum Mechanical ◽  
Molecular Response ◽  
Induced Current ◽  
Quantum Mechanical Systems

We give an overview of the molecular response to an external magnetic field perturbing quantum mechanical systems. We present state-of-the-art methods for calculating magnetically-induced current-density susceptibilities. We discuss the essence...

scholarly journals Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

2017 ◽  
Vol 22 (3) ◽  
pp. 567-582 ◽  
Author(s):  
B.K. Jha ◽  
B. Aina
Keyword(s):  
Magnetic Field ◽  
Prandtl Number ◽  
Current Density ◽  
Hartmann Number ◽  
Convection Flow ◽  
Induced Current ◽  
Mixed Convection Flow ◽  
Induced Magnetic Field ◽  
Magnetic Prandtl Number ◽  
Vertical Microchannel

AbstractThe present work presents a theoretical investigation of an MHD mixed convection flow in a vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of an induced magnetic field arising due to motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, the Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the temperature, the induced current density, and skin friction have been presented in a graphical form. It is found that the effect of the Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel.

scholarly journals The Magnetic Response of Starphenes

Chemistry ◽  
2021 ◽  
Vol 3 (4) ◽  
pp. 1381-1391
Author(s):  
Mesías Orozco-Ic ◽  
Gabriel Merino
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Current Density ◽  
Magnetic Response ◽  
Induced Current ◽  
Induced Magnetic Field ◽  
Ring Currents

The aromaticity of [n]starphenes (n = 1, 4, 7, 10, 13, 16), as well as starphene-based [19]dendriphene, is addressed by calculating the magnetically induced current density and the induced magnetic field, using the pseudo-π model. When an external magnetic field is applied, these systems create diatropic currents that split into a global peripheral current surrounding the starphene skeleton and several local currents in the acene-based arms, resulting in large shielding cones above the arms. In particular, the arm currents are smaller than their linear analogs, and in general, the strengths of the ring currents tend to weaken as the starphene get larger.

scholarly journals Magnetic nulls in interacting dipolar fields

2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Todd Elder ◽  
Allen H. Boozer
Keyword(s):  
Magnetic Field ◽  
Current Density ◽  
Magnetic Flux Tube ◽  
Electron Inertia ◽  
Characteristic Spatial Scale ◽  
Field Lines ◽  
Dipolar Fields ◽  
Time Required ◽  
Magnetic Null ◽  
The Magnetic Field

The prominence of nulls in reconnection theory is due to the expected singular current density and the indeterminacy of field lines at a magnetic null. Electron inertia changes the implications of both features. Magnetic field lines are distinguishable only when their distance of closest approach exceeds a distance $\varDelta _d$ . Electron inertia ensures $\varDelta _d\gtrsim c/\omega _{pe}$ . The lines that lie within a magnetic flux tube of radius $\varDelta _d$ at the place where the field strength $B$ is strongest are fundamentally indistinguishable. If the tube, somewhere along its length, encloses a point where $B=0$ vanishes, then distinguishable lines come no closer to the null than $\approx (a^2c/\omega _{pe})^{1/3}$ , where $a$ is a characteristic spatial scale of the magnetic field. The behaviour of the magnetic field lines in the presence of nulls is studied for a dipole embedded in a spatially constant magnetic field. In addition to the implications of distinguishability, a constraint on the current density at a null is obtained, and the time required for thin current sheets to arise is derived.

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