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Dynamic Evolution Equations for Cores of Linear Crystal Defects in Colliding Solids
Physical Mesomechanics ( IF 1.6 ) Pub Date : 2020-05-01 , DOI: 10.1134/s1029959920030030 V. L. Busov
Physical Mesomechanics ( IF 1.6 ) Pub Date : 2020-05-01 , DOI: 10.1134/s1029959920030030 V. L. Busov
A discrete model in a generalized
rectangular-pulse space is proposed for dislocation cores in a
crystal with its undeformed perfect structure taken as a Hilbert
space of Schrodinger wave functions and with the core of a
dislocation as a rigged Hilbert space of step functions of
opposite sign separated by a time interval. The model suggests
Vlasov equations for cation and electron distribution functions
and equations for an intermittent field and their solutions. It
is shown that the particle dispersion law is complex, and its
real part is nonlinear and quadratic.
中文翻译:
碰撞固体中线状晶体缺陷核的动态演化方程
提出了广义矩形脉冲空间中晶体中位错核的离散模型,其未变形的完美结构作为薛定谔波函数的希尔伯特空间,位错的核心作为异号阶跃函数的操纵希尔伯特空间隔一个时间间隔。该模型提出了阳离子和电子分布函数的 Vlasov 方程以及间歇场及其解的方程。结果表明,粒子弥散规律是复杂的,其实部是非线性和二次的。
更新日期:2020-05-01
中文翻译:
碰撞固体中线状晶体缺陷核的动态演化方程
提出了广义矩形脉冲空间中晶体中位错核的离散模型,其未变形的完美结构作为薛定谔波函数的希尔伯特空间,位错的核心作为异号阶跃函数的操纵希尔伯特空间隔一个时间间隔。该模型提出了阳离子和电子分布函数的 Vlasov 方程以及间歇场及其解的方程。结果表明,粒子弥散规律是复杂的,其实部是非线性和二次的。