Dynamical heterogeneity in a dense quasi-two-dimensional colloidal liquid

This paper reports the results of experimental studies of the dynamics of p articles in a dense quasi-two-dimensional colloidal liquid. We find that at high density, near close packing but still in the liquid phase, the spatia l configurations of the particles in the colloidal liquid consist of small ordered domains separated by disordered boundaries. There are frequent exch anges of particles between the ordered and disordered domains, so the lifet ime of a particular ordered domain is short and the state of the system is ergodic. The motion of a particle in an ordered domain is constrained but f ully two dimensional. The motion of a particle in a disordered boundary has considerable one-dimensional file-server character. By virtue of exchanges of particles between the ordered and disordered domains, the time dependen ce of the particle displacement has mixed character. We find that the parti cle dynamics in the dense quasi-two-dimensional colloidal liquid can be cha racterized with three simultaneous competing relaxation processes, each of which contributes to the mean square displacement of a particle, W(t). For an interval that is shorter than the time between collisions, W(t) is linea r in time; this behavior results from particle displacements within a cage of fluctuating neighbors. At somewhat longer time W(t) has a sublinear depe ndence on time. We associate this temporal behavior with a file-server-like contribution to W(t), arising from correlated motion in the disordered bou ndary regions. At very long time we find that there are contributions to W( t) from infrequent large displacements, of the order of a particle diameter in length. The large displacements are associated with density fluctuation s that fluidize the surroundings of a particle. These large displacements a re not ballistic; rather the particle diffuses rapidly enough to generate a large displacement per unit time. The common occurrence of structural hete rogeneity in simulation studies of systems with different particle-particle interactions and different equations of motion suggests that fluctuations that generate local order in a dense two-dimensional liquid may be a ubiqui tous feature of that class of systems. The results of the experiments repor ted in this paper suggest that current theories of relaxation processes in a dense quasi-two-dimensional liquid do not adequately take into account th e class of fluctuations that generates transient ordered domains in the liq uid; nor do these theories adequately account for the cooperative relaxatio n of those domains. (C) 2001 American Institute of Physics.