Abstract
We review the results of Brownian Dynamics simulations of colloidal particles in external fields confined in channels. Super-paramagnetic Brownian particles are well suited two- dimensional model systems for a variety of problems on different length scales, ranging from pedestrian walking through a bottleneck to ions passing ion-channels in living cells. In such systems confinement into channels can have a great influence on the diffusion and transport properties. Especially we will discuss the crossover from single file diffusion in a narrow channel to the diffusion in the extended two-dimensional system. Therefore a new algorithm for computing the mean square displacement (MSD) on logarithmic time scales is presented. In a different study interacting colloidal particles were dragged over a washboard potential and are additionally confined in a two-dimensional micro-channel. In this system kink and anti-kink solitons determine the depinning process of the particles from the periodic potential.
Highlights
Colloidal particles are a well suited model system [1] to study principle phenomena on all length scales ranging from gravitational collapse [2], over pedestrian walking [3], to two dimensional crystallization [4, 5, 6], glass transition [7] and non-equilibrium phase transition [8]
Besides the use of colloids as model systems the knowledge of their dynamics is crucial for the development of microscopic lab-on-the-chip devices [9] or devices for controlled drug release [10]
This proceeding presents some interesting results of computer simulations of such colloidal model systems
Summary
Colloidal particles are a well suited model system [1] to study principle phenomena on all length scales ranging from gravitational collapse [2], over pedestrian walking [3], to two dimensional crystallization [4, 5, 6], glass transition [7] and non-equilibrium phase transition [8]. Besides the use of colloids as model systems the knowledge of their dynamics is crucial for the development of microscopic lab-on-the-chip devices [9] or devices for controlled drug release [10]. This proceeding presents some interesting results of computer simulations of such colloidal model systems. The hard-wall boundary is realized by using the analytically known transition probability of a Brownian particle near a hard boundary as proposed by Behringer and Eichhorn [12].
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