形(应)变超晶格的退道效应与系统的全局分叉

Dechanneling Effects and Global Bifurcations for Strained Superlattice

摘要: 把超晶格"折沟道"对粒子的作用等效为形状相似的弱周期调制.利用正弦平方势把粒子运动方程化为具有外周期弱调制的非线性微分方程,导出了退道系数与晶格畸变的关系.利用多尺度法研究了系统的主共振和子共振,并利用Melnikov方法分析了系统的全局分叉和出现Smale马蹄的临界条件. The effect of deflected channel on particle motion is equivalent to modulation with a weakpotential having a periodic same as the deflected channel has. The motion equation of a particle has been reduced to the nonlinear differential equation with a weakperiodic modulation by using sinesquared potential. The dechanneling fraction has been derived for a strained superlattice. The mainresonance and subresonance have been inverstigated by using multiscale method, a global bifurcation and the critic...

Abstract: The effect of deflected channel on particle motion is equivalent to modulation with a weakpotential having a periodic same as the deflected channel has. The motion equation of a particle has been reduced to the nonlinear differential equation with a weakperiodic modulation by using sinesquared potential. The dechanneling fraction has been derived for a strained superlattice. The mainresonance and subresonance have been inverstigated by using multiscale method, a global bifurcation and the critic...