Plasma Model of Generation and Slip of Linear Defects in Crystalline Materials

• 作者: Grechkina Margarita Vladimirovna V. L. Busov
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Solid-State Plasma Debye Screening Radius Charged Particle Collisions Plasma Wave Flows of Dynamic Correlations of Density Potential Fluctuations
• 年，卷（期）: 2020,（11）
• 页码范围: 1167-1177
• 页数: 11页
• 分类号: O17

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_e</em> create <em>δ</em>-collisions with cold plasma from free electrons and holes with masses <em>m_e</em> and <em>m_h</em> (<em>m_h</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_e</em>), they emit and absorb longitudinal electron plasma waves whose phase velocities <em>w_pw</em> / <em>k_pw</em> are close to or are equal to the velocities <em>V_e</em>, while the frequencies <em>w_pw</em> and wave numbers <em>k_pw</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_pw</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_e</em><span style="white-space:nowrap;">&#8811; </span>1 (<em>a_e</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_pw</em> <span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#8901;</span></span></span> <em>a_e</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