A new model of electronic vortices in plasma is studied. The model ass
umes that the profile of the Lagrangian invariant I, equal to the rati
o I = Omega/n of the electronic vorticity to the electron density, is
given. The proposed approach takes into account the magnetic Debye sca
le r(B) similar or equal to B/4 pi en, which leads to breakdown of pla
sma quasineutrality. It is shown that the Abrikosov singular model can
not be used to describe electron vortices in plasmas because of the fu
ndamental limitation on the electron vorticity on the axis of a vortex
in a plasma. Analysis of the equations shows that in the model consid
ered for the electronic vorticity, the total magnetic flux decreases w
hen the size r(0) of the region in which I not equal 0 becomes less th
an c/omega(pe) (omega(pe) is the electron plasma frequency). For omega
(pe)r(0)/c much less than 1, an electronic vortex is formed in which t
he magnetic flux decreases as r(0)(2) and the inertial component predo
minates in the electronic vorticity. The structure arising as omega(pe
)r(0)/c double right arrow 0 is a narrow ''hole'' in the electron dens
ity, which can be identified from the spectrum of electromagnetic wave
s in this region. (C) 1998 American Institute of Physics.