混合势中的均匀线性离子晶体
Homogeneous Linear Ion Crystal in a Hybrid Potential
摘要：
本文研究了线性离子晶体在二次和四次势组合作用下的性质。通过控制二次和四次分量之间的比例参数，离散和连续模型都被用来探索线性离子晶体的均匀性。结果表明，在这种混合势中，离子的均匀分布比纯二次势或纯四次势中的均匀分布要大。在混合势中还研究了锯齿形相变。通过数值计算确定了其临界条件和相图，与前人的理论和实验结果吻合较好。这为实验研究大尺寸线性库仑晶体的相变奠定了基础。
英文摘要：
We investigate the properties of a linear ion crystal in a combination of quadratic and quartic potentials. Both the discrete and the continuous model are employed to explore the homogeneity of a linear ion crystal by controlling the proportional parameter between the quadratic and quartic components. It is found that a uniform ion distribution in such a hybrid potential can be made larger than that in a purely quadratic or quartic potential. The zigzag transition is also investigated in the hybrid potential. Its critical condition and phase diagram are determined numerically, which agrees well with previous theoretical and experimental results. This paves the way for experimental investigation of phase transition in a large linear coulomb crystal.
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