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。

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.

[1] J. H. Chu and Lin I, Phys. Rev. Lett. 72, 4009 (1994)
[2] J. H. Chu and Lin I, J. Appl. Phys. 74, 4741 (1993)
[3] H. Ikezi, Phys. Fluids 29, 1764 (1986)
[4] N. A. Clark, A. J. Hurd, and B. J. Ackerson, Nature (Lonton) 281, 57
(1979)
[5] D. H. Van Winkle and C. A. Murry, Phys. Rev. A 34, 362 (1986)
[6] K. Ito, H. Nakamura, and N. Ise, J. Chem. Phys. 85,6136 (1986)
[7] E. B. Sirota, H. D. Ou-Yang, S. K. Sinka, and P. M. Chaikin, Phys. Rev.
Lett. 62, 1524 (1989)
[8] J. D. Wineland, J. C. Berguist, W. M. Itano, J. J. Bollinger, C. H.
Manney, Phys. Rev. Lett. 59, 2935 (1987)
[9] R. Blumel, J. M. Chem, E. Peik, W. Quint, W. Schlieh, Y. R. Shen, and H.
Walter, Nature 334, 309 (1988)
[10] F. Diedrich, E. Peik, W. Quint, and H. Walter, Phys. Rev. Lett. 59, 2391
(1987)
[11] J. Richard Christman, Fundamentals of Solid State Physics
[12] W. D. Kristensen, J. Non- Cryst. Solids 21, 303 (1976)
[13] Katherine J. Strandburg, Bond-Orientational Order in Condensed
Matter Systems (Springer-Verlag New York, Inc 1992)
71
[14] Ken Bagchi, Hans C. Andersen and William Swope, Phys. Rev. Lett.
76, 2 (1996)
[15] Charles Kittel, Introduction to Solid State Physics (John Wiley & Sons,
Inc. 1996)
[16] J. M. Kosterlitz and D. J. Thouless, J. Phys. C, 6, 1181 (1973)
[17] N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979)
[18] D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2547 (1979)
[19] B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 121 (1978)
[20] Katherine J. Strandburg, Reviews of Modern Physics 60, 1, (1988)
[21] K. Zahn, R. Lenke, and G. Maret, Phys. Rev. Lett. 82, 13 (1999)
[22] K. Zahn and G. Maret, Phys. Rev. Lett. 85, 17 (2000)