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双频激励下超晶格系统的混沌行为

Chaotic Behaviour of Superlattice with Dual Frequency Excitation

  • 摘要: 假设超晶格“折沟道”对粒子的作用等效为形状相似的周期调制; 引入正弦平方势, 在小振幅近似下, 把粒子运动方程化为具有双频激励的Duffing方程。 用Melnikov方法分析了系统的混沌行为。 结果表明, 当外场为双频激励时, 系统将存在不同的次谐和超次谐分叉序列。 由于系统的混沌行为与系统参数有关, 于是, 只需控制材料组分、 或掺杂浓度, 就可望达到避免或控制混沌的目的, 为半导体超晶格的制备及其光磁电效应提供了理论分析。


     

    Abstract: It is assumed that a periodic modulation is equivalent to deflected channel of the superlattice. In the small amplitude approximation the particle motion equation is simplified to the Duffing equation with a hardspring properties by using sinesquared potential. The chaotic behaviour is analysed by Melnikov method.It shows that the subharmonic bifurcation and the supersubharmonic bifurcation are presented in the system, the chaos can be controlled by controlling the parameters of the system.The result provided a theoretical analysis for the study of the photomagnetoelectric effects of superlattice.

     

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