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Plasma Model of Generation and Slip of Linear Defects in Crystalline Materials 被引量:2

Plasma Model of Generation and Slip of Linear Defects in Crystalline Materials
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摘要 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 <em>V<sub>e</sub></em> create <em>δ</em>-collisions with cold plasma from free electrons and holes with masses <em>m<sub>e</sub></em> and <em>m<sub>h</sub></em> (<em>m<sub>h</sub></em>  <span style="white-space:normal;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8811;</span></span> </span></span><em>m<sub>e</sub></em>), they emit and absorb longitudinal electron plasma waves whose phase velocities <em>w<sub>pw</sub></em> / <em>k<sub>pw</sub></em> are close to or are equal to the velocities <em>V<sub>e</sub></em>, while the frequencies <em>w<sub>pw</sub></em> and wave numbers <em>k<sub>pw</sub></em> of the wave packet of plasma waves are complex, the short-wave components <img src="Edit_3da65014-7fd8-4799-bcf1-02d90028f4e0.bmp" alt="" /> of this wave packet at <em>k<sub>pw</sub></em> <span style="white-space:normal;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8901;</span></span></span> </span><em>a<sub>e </sub></em><span style="white-space:nowrap;">&#8811; </span>1 (<em>a<sub>e</sub></em> -Debye screening radius) decay in the core linear defect, and its long-wavelength components <img src="Edit_4481889b-5097-4d26-9019-b0322f5ff8d0.bmp" alt="" /> propagate in the region of the medium surrounding the core of the defect at <em>k<sub>pw</sub></em> <span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8901;</span></span></span> <em>a<sub>e</sub></em> <span style="white-space:nowrap;"><<span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8773;</span></span></span> 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 <em>δ</em>-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 <em>t</em> → +∞. 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 <em>V<sub>e</sub></em> create <em>δ</em>-collisions with cold plasma from free electrons and holes with masses <em>m<sub>e</sub></em> and <em>m<sub>h</sub></em> (<em>m<sub>h</sub></em>  <span style="white-space:normal;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8811;</span></span> </span></span><em>m<sub>e</sub></em>), they emit and absorb longitudinal electron plasma waves whose phase velocities <em>w<sub>pw</sub></em> / <em>k<sub>pw</sub></em> are close to or are equal to the velocities <em>V<sub>e</sub></em>, while the frequencies <em>w<sub>pw</sub></em> and wave numbers <em>k<sub>pw</sub></em> of the wave packet of plasma waves are complex, the short-wave components <img src="Edit_3da65014-7fd8-4799-bcf1-02d90028f4e0.bmp" alt="" /> of this wave packet at <em>k<sub>pw</sub></em> <span style="white-space:normal;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8901;</span></span></span> </span><em>a<sub>e </sub></em><span style="white-space:nowrap;">&#8811; </span>1 (<em>a<sub>e</sub></em> -Debye screening radius) decay in the core linear defect, and its long-wavelength components <img src="Edit_4481889b-5097-4d26-9019-b0322f5ff8d0.bmp" alt="" /> propagate in the region of the medium surrounding the core of the defect at <em>k<sub>pw</sub></em> <span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8901;</span></span></span> <em>a<sub>e</sub></em> <span style="white-space:nowrap;"><<span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8773;</span></span></span> 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 <em>δ</em>-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 <em>t</em> → +∞.
作者 V. L. Busov Grechkina Margarita Vladimirovna V. L. Busov;Grechkina Margarita Vladimirovna(Donbass State Engineering Academy, Kramatorsk, Ukraine;Experimental Equipment Department of Voronezh State University, Voronezh, Russia)
出处 《Applied Mathematics》 2020年第11期1167-1177,共11页 应用数学(英文)
关键词 Solid-State Plasma Debye Screening Radius Charged Particle Collisions Plasma Wave Flows of Dynamic Correlations of Density Potential Fluctuations Solid-State Plasma Debye Screening Radius Charged Particle Collisions Plasma Wave Flows of Dynamic Correlations of Density Potential Fluctuations
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