论文标题
光子隧道模型揭示的微观哈密顿和混沌行为
Microscopic Hamiltonian and Chaotic Behavior for Barium Titanate Nanoparticles Revealed by Photonic Tunneling Model
论文作者
论文摘要
为了了解铁电纳米颗粒的微观特性，我们回顾了有吸引力的BATIO3纳米晶体的概念，其中考虑了其成分电子和离子的光子场。我们提出了相关的哈密顿量和扩展电位，这是从半定量空间的某些几何形状的特定声子模式的物理描述的基础。此外，我们使用著名的微观哈密顿和海森堡运动方程式制定了系统的非线性动力学方程。此外，我们对BATIO3纳米晶体系统和假设的系统感兴趣，从而导致相变的秩序性质。后者与链条的合作现象有关。数值模拟表明，复杂的行为在这种系统中传播。
In order to understand the microscopic properties of the ferroelectric nanoparticles, we review concepts of the attractive BaTiO3 nanocrystals where a photon field from its constituent electrons and ions are considered. We present an associated Hamiltonian and extended potential which are the bases of the physical description of the system from certain geometry of the semiquantal space with the specific phonon mode. Furthermore, we formulate the nonlinear dynamics equation of the systems with the famous microscopic Hamiltonian and Heisenberg equation of motion. In addition, we interest ourselves to a system of BaTiO3 nanocrystals and hypothesis leading to order-disorder nature of phase transitions. The latter are linked to the cooperative phenomenon of chains. The numerical simulations reveal that complex behaviors propagate in such system.
