scholarly journals Об одном нелинейном эффекте в теории сверхпроводимости

2019 ◽  
Vol 61 (11) ◽  
pp. 1995
Author(s):  
С.О. Гладков
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Flow Velocity ◽  
Penetration Depth ◽  
Nonlinear Effect ◽  
Homogeneous Magnetic Field ◽  
Hydrodynamic Flow ◽  
Magnetic Potential ◽  
Hydrodynamic Equations ◽  
London Penetration Depth

AbstractBased on the solution of the hydrodynamic equations and Maxwell’s equations, we show that an external quasi-homogeneous magnetic field leads to the emergence of a secondary electric field that is resulted from a nonlinear effect over magnetic potential A . This field is proved to exist in the region with a depth of $$\delta {\text{/}}2$$ , where δ is the London penetration depth. The hydrodynamic flow velocity is estimated.

Magnetic Field Dependence of the London Penetration Depth ofBi2Sr2CaCu2Oy

1995 ◽  
Vol 74 (7) ◽  
pp. 1202-1205 ◽  
Author(s):  
A. Maeda ◽  
Y. Iino ◽  
T. Hanaguri ◽  
N. Motohira ◽  
K. Kishio ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Penetration Depth ◽  
Field Dependence ◽  
Magnetic Field Dependence ◽  
London Penetration Depth

Magnetic field dependence of the London penetration depth in the vortex state ofYBa2Cu3O6.95

1997 ◽  
Vol 55 (17) ◽  
pp. 11789-11792 ◽  
Author(s):  
J. E. Sonier ◽  
R. F. Kiefl ◽  
J. H. Brewer ◽  
D. A. Bonn ◽  
S. R. Dunsiger ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Penetration Depth ◽  
Field Dependence ◽  
Magnetic Field Dependence ◽  
Vortex State ◽  
London Penetration Depth

scholarly journals Bootstrap current and parallel ion velocity in imperfectly optimized stellarators

2020 ◽  
Vol 86 (1) ◽  
Author(s):  
Peter J. Catto ◽  
Per Helander
Keyword(s):  
Magnetic Field ◽  
Kinetic Equation ◽  
Electric Field ◽  
Flow Velocity ◽  
Collision Frequency ◽  
Rotation Frequency ◽  
Radial Electric Field ◽  
Local Form ◽  
Bootstrap Current ◽  
Ion Velocity

A novel derivation of the parallel ion velocity, and the bootstrap and Pfirsch–Schlüter currents in an imperfectly optimized (that is, almost omnigenous) stellarator magnetic field, $\boldsymbol{B}$ , is presented that somewhat more generally recovers expressions completely consistent with previous analytic results. However, it is also shown that, when the conventional radially local form of the drift kinetic equation is employed, the flow velocity and the bootstrap current acquire a spurious contribution proportional to $\unicode[STIX]{x1D714}/\unicode[STIX]{x1D708}$ , where $\unicode[STIX]{x1D714}$ denotes the $\boldsymbol{E}\times \boldsymbol{B}$ rotation frequency (due to the radial electric field $\boldsymbol{E}$ ) and $\unicode[STIX]{x1D708}$ the collision frequency. This contribution is particularly large in the $\sqrt{\unicode[STIX]{x1D708}}$ regime and at smaller collisionalities, where $\unicode[STIX]{x1D714}/\unicode[STIX]{x1D708}\gtrsim 1$ , and is presumably present in most numerical calculations, but it disappears if a more accurate drift kinetic equation is used.

Wave propagation in a plasma in the presence of a spatially uniform external periodic magnetic field

1975 ◽  
Vol 13 (2) ◽  
pp. 327-334 ◽  
Author(s):  
K. P. Das
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Kinetic Equation ◽  
Dispersion Relation ◽  
Electric Field ◽  
Hydrodynamic Equations ◽  
Periodic Magnetic Field ◽  
Hot Plasma ◽  
Periodic Electric Field ◽  
Excitation Conditions

Starting from the kinetic equation and Maxwell's equations, a dispersion relation is obtained for wave propagation through a fully-ionized plasma along a spatially-uniform, external, periodic magnetic field B0 cos ω0t, and several excitation conditions are deduced. The parametri excitation of waves in a plasma by spatially uniform external periodic electric field has been considered by several authors (Aiev & Silim 1965; Montgomery & Alexeff 1966; Jackson 1967; Prasad 1967, 1968; Nishikawa 1968 a, b). The effect of spatially uniform external periodic magnetic field on wave propagation through a hot plasma was considered by Das (1971), who used hydrodynamic equations to study the effect of wave propagation perpendicular to a spatially-uniform, external, periodic magnetic field.

Light Mixing and the Generation of the Second Harmonic in a Plasma in an External Magnetic Field

1965 ◽  
Vol 20 (6) ◽  
pp. 793-800 ◽  
Author(s):  
Wilhelm H. Kegel
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
External Electric Field ◽  
Second Harmonic ◽  
Scattered Light ◽  
Homogeneous Magnetic Field ◽  
Density Fluctuations ◽  
Wave Number ◽  
The Difference ◽  
Electron Gyrofrequency

The theory of light scattering in a plasma is extended by including an external electric field (e.g. the field of a laser beam) in calculating the density fluctuations. It is shown that in the presence of a time constant homogeneous magnetic field there arise density fluctuations with the frequency and the wave number of the external electric field. Expansions of the general expressions are obtained for the case that the frequency is large compared to the electron gyrofrequency. The special case that the external electric field is a transverse wave is discussed in detail.The light of a second beam may be scattered by these forced density fluctuations. The scattered light has the sum and the difference frequency of the two light beams, i.e. light mixing occurs. In the framework of this theory the effect occurs only if the two beams are parallel. - If one considers the scattering of the same beam that forces the density fluctuations, the scattered light is the second harmonic

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