Static paramagnetic response of thin soft superconductors

1980 ◽  
Vol 58 (6) ◽  
pp. 812-819
Author(s):  
K. N. Piyakis ◽  
G. Papini ◽  
R. G. Rystephanick
Keyword(s):  
Magnetic Field ◽  
Cylindrical Shell ◽  
External Magnetic Field ◽  
Scalar Potential ◽  
Electrochemical Potential ◽  
Thin Cylindrical Shell ◽  
A Current

We calculate the static paramagnetic response of thin superconductors of the first kind to terms proportional to a static external magnetic field and a static scalar potential. The response is in the form of a current. The corresponding magnetic field is calculated for a thin cylindrical shell and is proportional to the electrochemical potential.

scholarly journals NONLINEAR VIBRATIONS OF A CURRENT-CARRYING ANISOTROPIC CYLINDRICAL SHELL IN A MAGNETIC FIELD.

2020 ◽  
Vol 81 (01) ◽  
pp. 205-211
Author(s):  
Ravshan Indiaminov ◽  
◽  
Sobir Mamaraupovich Kholjigitov ◽  
Akram Sidikovich Narkulov ◽  
◽  
...  
Keyword(s):  
Magnetic Field ◽  
Cylindrical Shell ◽  
Nonlinear Vibrations ◽  
A Current ◽  
Anisotropic Cylindrical Shell

scholarly journals Hydromagnetic Dynamo in Astrophysical Jets

1993 ◽  
Vol 157 ◽  
pp. 367-371 ◽  
Author(s):  
A. Shukurov ◽  
D.D. Sokoloff
Keyword(s):  
Magnetic Field ◽  
Cylindrical Shell ◽  
Plasma Flow ◽  
Wave Number ◽  
Astrophysical Jets ◽  
Thin Cylindrical Shell ◽  
Azimuthal Wave Number ◽  
Hydromagnetic Dynamo ◽  
Field Lines ◽  
Jet Plasma

The origin of a regular magnetic field in astrophysical jets is discussed. It is shown that jet plasma flow can generate a magnetic field provided the streamlines are helical. The dynamo of this type, known as the screw dynamo, generates magnetic fields with the dominant azimuthal wave number m = 1 whose field lines also have a helical shape. The field concentrates into a relatively thin cylindrical shell and its configuration is favorable for the collimation and confinement of the jet plasma.

Spherical tensor approach to multipole expansions. II. Magnetostatic interactions

1976 ◽  
Vol 54 (5) ◽  
pp. 513-518 ◽  
Author(s):  
C. G. Gray ◽  
P. J. Stiles
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Interaction Energy ◽  
Current Distribution ◽  
Spherical Harmonic ◽  
Magnetostatic Interaction ◽  
Multipole Expansions ◽  
The Magnetic Field ◽  
A Current ◽  
Magnetostatic Interactions

The magnetic field due to a given current distribution, the interaction energy of a current distribution with an arbitrary external magnetic field, and the magnetostatic interaction energy between two current distributions are decomposed into multipolar components using spherical harmonic expansions. Diamagnetic interactions and the spin contributions to the multipole expansions are also discussed.

Equilibrium configurations of Vlasov plasmas carrying a current component along an external magnetic field

1972 ◽  
Vol 7 (3) ◽  
pp. 445-459 ◽  
Author(s):  
J. R. Kan
Keyword(s):  
Magnetic Field ◽  
Free Energy ◽  
External Magnetic Field ◽  
Constant Field ◽  
Current Component ◽  
Equilibrium Solutions ◽  
Plasma Parameters ◽  
Equilibrium Configurations ◽  
Field Aligned Current ◽  
A Current

A class of equilibrium configurations of Vlasov plasmas carrying a current component along an external magnetic field is presented. The present slab model contains the diamagnetic current jy, and the field-aligned current jz for arbitrary βc (= particle pressure/magnetic pressure of the applied constant field). For fixed βc and field-aligned current, our model admits a family of equilibrium solutions in which the diamagnetic currents range from zero to a maximum value. The amount of diamagnetic current flowing in a machine depends on the width of the machine, the field-aligned current and other plasma parameters. The Helmholtz free energy of the system is calculated under the constraints that the total number of particles and the field-aligned current are conserved. The least unstable equilibrium configuration in a machine is obtained by minimizing the free energy under the stated constraints among all equilibria whose plasma widths do not exceed the width of the machine.

scholarly journals Equilibrium electric current of massive electrons with anomalous magnetic moments induced by a magnetic field and the electroweak interaction with matter

2018 ◽  
Vol 33 (26) ◽  
pp. 1850154 ◽  
Author(s):  
Maxim Dvornikov
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
External Magnetic Field ◽  
Electric Current ◽  
Magnetic Moments ◽  
Electroweak Interaction ◽  
External Fields ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
A Current

We study the possibility of the existence of the electric current, formed by massive electrons and positrons, flowing along an external magnetic field. The charged fermions are supposed to have nonzero anomalous magnetic moments and electroweakly interact with background matter. The expression for the current is obtained on the basis of the exact solution of the Dirac equation in the corresponding external fields. We demonstrate that, in the state of equilibrium, such a current is vanishing for any characteristics of the electron–positron plasma as well as the external fields. Our results are compared with the recent findings of other authors.

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