Abstract: Dynamics of cathode spot has become a major part
of vacuum arc discharge with its high academic interest and
wide application potential. In this article, using a three-dimensional
statistical model, we simulate the distribution of the ignition
probability of a new cathode spot occurring in different magnetic
pressure on old cathode spot surface and at different arcing time.
This model for the ignition probability of a new cathode spot was
proposed in two typical situations, one by the pure isotropic random
walk in the absence of an external magnetic field, other by the
retrograde motion in external magnetic field, in parallel with the
cathode surface. We mainly focus on developed relationship between
the ignition probability density distribution of a new cathode spot and
the external magnetic field.
Abstract: The solvated electron is self-trapped (polaron) owing
to strong interaction with the quantum polarization field. If the
electron and quantum field are strongly coupled then the collective
localized state of the field and quasi-particle is formed. In such a
formation the electron motion is rather intricate. On the one hand the
electron oscillated within a rather deep polarization potential well
and undergoes the optical transitions, and on the other, it moves
together with the center of inertia of the system and participates in
the thermal random walk. The problem is to separate these motions
correctly, rigorously taking into account the conservation laws. This
can be conveniently done using Bogolyubov-Tyablikov method of
canonical transformation to the collective coordinates. This
transformation removes the translational degeneracy and allows one
to develop the successive approximation algorithm for the energy and
wave function while simultaneously fulfilling the law of conservation
of total momentum of the system. The resulting equations determine
the electron transitions and depend explicitly on the translational
velocity of the quasi-particle as whole. The frequency of optical
transition is calculated for the solvated electron in ammonia, and an
estimate is made for the thermal-induced spectral bandwidth.