Vorwort Zur Ersten Russischen Auflage

Overcoming Interfacial Interactions with Electric Fields

“…For the simple case of an infinitely long cylinder with its axis either parallel or perpendicular to the external field E B 0 , this solution can easily be constructed from the boundary conditions for the electric field at the interface. 9 The state with the lowest free energy will be one of these two orientations, since only in these cases is the torque K B ) P B × E B 0 ) 0. The resulting difference in the free energy between the two states with different orientations is where 0 is the permittivity in a vacuum.…”

“…Since, for an anisotropic body, the surface charges and, therefore, E⃗ p depend on the orientation of the body, the resulting electric field energy is also orientation dependent. Taking the state with no dielectric body present as a reference state, the free energy can be written as F el is the orientation dependent electrical contribution to the free energy, whereas F 0 contains all the contributions to the free energy independent of orientation. P⃗ is the polarization inside the dielectric body having a volume V .…”

“…To evaluate eq 1, the electric field E⃗ has to be known, which generally requires solving Maxwell equations for the geometry under consideration. For the simple case of an infinitely long cylinder with its axis either parallel or perpendicular to the external field E⃗ 0 , this solution can easily be constructed from the boundary conditions for the electric field at the interface . The state with the lowest free energy will be one of these two orientations, since only in these cases is the torque K⃗ = P⃗ × E⃗ 0 = 0.…”

Didactical formulation of the Ampère law

“…For simplicity, the orientation of the z axis is given by the direction of the current I. The magnetic field, being the antisymmetric part of the electromagnetic tensor (pseudo-vector) [4], lies in the antisymmetry planes of the current distribution and it is orthogonal to the symmetry planes. In principle the Ampère law could be applied on any contour .…”

Effective forces between interfaces in type-I superconductors

“…For these, the main difference in the dielectric properties of metals and superconductors then arises from the pair term contribution to the frequencydependent kernel Q(ω) which relates the vector potential A to the supercurrent, j [6]. The electromagnetic kernel determines the surface impedance via ζ(ω) ∼ (iω/c)(Q(ω)) −1/3 , which in turns determines ε ∼ ζ −2 [9].…”