測量一個系統的整齊度是一個非常有趣的課題。一個整 齊的系統一定有某一種對稱性。根據一個系統的對稱性,可 以量測此系統的整齊度。在一個強耦合庫侖微粒電漿系統 中,粒子會形成六角晶格結構,每一個粒子被六個鄰近的粒 子圍繞。這樣的晶格結構有晶格週期性和角向對稱性,而且 可以經由調節適當的系統參數來使晶格溶解成液態。這個論 文裡主要的課題是討論在液態中,強耦合庫侖微粒電漿系統 的方向序,包括:(1)時空尺度律、(2)時空尺度律與粒子在 時空運動的關聯、(3)時間尺度律與空間尺度律的關聯。 How to determine the degree of order of a system is a very interesting problem. An ordered system must have some kind of symmetry. According to the symmetry of the structure, we can measure the order of the system. In the strongly coupled Coulomb dusty plasma system, the two-dimensional Wigner crystal can be formed. A Wigner crystal has the hexagonal structure, and each particle is surrounded by six nearest adjacent particles. Such crystal has crystalline periodicity and rotational symmetry. The crystal in the dusty plasma can be melted by decreasing the coupling constant Ã, which can be controlled by the rf power or gas pressure. The main topic of this work is to study the orientational ordering of the liquid state in the strongly coupled dusty plasma system. It includes: (1) The spatial temporal scaling of the bond-orientational order parameter (2) The correlation between the spatial temporal scaling and the dynamical response of the particle motion in space and time (3) The correlation between the spatial and temporal scaling.