TITLE:
Plasma Model of Generation and Slip of Linear Defects in Crystalline Materials
AUTHORS:
V. L. Busov, Grechkina Margarita Vladimirovna
KEYWORDS:
Solid-State Plasma, Debye Screening Radius, Charged Particle Collisions, Plasma Wave, Flows of Dynamic Correlations of Density, Potential Fluctuations
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.11,
November
20,
2020
ABSTRACT: In dielectrics and semiconductors, a plasma model of the generation and slip of dislocations is considered, where under shock loads in a generalized space of rectangular pulses an alternating field forms a distribution of pairs of photoelectrons and cations; these electrons with velocities Ve create δ-collisions with cold plasma from free electrons and holes with masses me and mh (mh≫ me), they emit and absorb longitudinal electron plasma waves whose phase velocities wpw / kpw are close to or are equal to the velocities Ve, while the frequencies wpw and wave numbers kpw of the wave packet of plasma waves are complex, the short-wave components of this wave packet at kpw ⋅ ae≫1 (ae -Debye screening radius) decay in the core linear defect, and its long-wavelength components propagate in the region of the medium surrounding the core of the defect at kpw ⋅ ae ≅ 1. When a defect is generated, the distribution of cations under the influence of the internal Coulomb field shifts to the region of the first peak (protrusion) of the electron plasma wave, thereby forming a vacancy valley. When sliding under the influence of an external electric field, a cationic plasma wave consisting of a vacancy valley and two cationic protrusions moves against the background of an additional potential relief created by an electron plasma wave near the core of the defect. It has been shown that δ-collisions create flows of dynamic large-scale correlations of plasma fluctuations in the form of asymptotics of different-time correlators of density and potential fluctuations as t → +∞.