Harmonic lattice behavior of two-dimensional colloidal crystals -: art. no. 215504

被引:100
作者
Keim, P [1 ]
Maret, G [1 ]
Herz, U [1 ]
von Grünberg, HH [1 ]
机构
[1] Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany
关键词
D O I
10.1103/PhysRevLett.92.215504
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using positional data from videomicroscopy and applying the equipartition theorem for harmonic Hamiltonians, we determine the wave-vector-dependent normal mode spring constants of a two-dimensional colloidal model crystal and compare the measured band structure to predictions of the harmonic lattice theory. We find good agreement for both the transversal and the longitudinal modes. For q-->0, the measured spring constants are consistent with the elastic moduli of the crystal.
引用
收藏
页码:215504 / 1
页数:4
相关论文
共 31 条
[1]  
Arora A. K., 1995, ORDERING PHASE TRANS
[2]  
ASHCROFT NW, 1976, SOLID STATE PHYS, pCH22
[3]   ON A MODIFIED LINDEMANN-LIKE CRITERION FOR 2D MELTING [J].
BEDANOV, VM ;
GADIYAK, GV ;
LOZOVIK, YE .
PHYSICS LETTERS A, 1985, 109 (06) :289-291
[4]  
CHAIKIN PM, 1995, PRINCIPLES CONDENSED, P223
[5]   Phonons in an entropic crystal [J].
Cheng, ZD ;
Zhu, JX ;
Russel, WB ;
Chaikin, PM .
PHYSICAL REVIEW LETTERS, 2000, 85 (07) :1460-1463
[6]   HYDRODYNAMICS OF COLLOIDAL CRYSTALS [J].
DERKSEN, J ;
VANDEWATER, W .
PHYSICAL REVIEW A, 1992, 45 (08) :5660-5673
[7]   Two-dimensional condensed phases from particles with tunable interactions [J].
Hay, MB ;
Workman, RK ;
Manne, S .
PHYSICAL REVIEW E, 2003, 67 (01) :4
[8]   Hydrodynamic interactions in colloidal crystals - (II). Application to dense cubic and tetragonal arrays [J].
Hofman, JMA ;
Clercx, HJH ;
Schram, PPJM .
PHYSICA A, 1999, 268 (3-4) :353-390
[9]   Modes of motion of a colloidal crystal [J].
Hoppenbrouwers, M ;
van de Water, W .
PHYSICAL REVIEW LETTERS, 1998, 80 (17) :3871-3874
[10]   FRICTION FACTORS FOR A LATTICE OF BROWNIAN PARTICLES [J].
HURD, AJ ;
CLARK, NA ;
MOCKLER, RC ;
OSULLIVAN, WJ .
JOURNAL OF FLUID MECHANICS, 1985, 153 (APR) :401-416