Quantum dynamics for Al-doped graphene composite sheet under hydrogen atom impact

Abstract

From a micro view, the graphene composite exhibits the quantum dynamical behaviors in experiments. This paper aims to show the theoretical analysis on the quantum dynamics of Al-doped graphene composite sheet impacted by hydrogen using force analysis technique. As the main novelty of this study, the generalized Casimir function and power are proposed to analytically explore the key factors governing the quantum dynamics and energy exchange of Al-doped graphene composite sheet. The quantum system of Al-doped graphene composite sheet is converted into a Kolmogorov-like system, owning four types of force: inertial, internal, dissipative and external force. Numerical examples show the rich quantum dynamical phenomenon with different key parameters. It is found that the hydrogen excitation and initial conditions can effectively influence the quantum dynamical behaviors. Both theoretical predictions and numerical results attest to the quantum dynamics of the Al-doped graphene composite sheet under the impact from hydrogen atoms.