scholarly journals Diffusive properties of colloidal charged particles in a quasi-one-dimensional confinement

2021 ◽  
Vol 10 (12) ◽  
pp. e403101220595
Author(s):  
Levi Rodrigues Leite ◽  
Jorge Luiz Bezerra de Araújo ◽  
Leandro Jader Pitombeira Xavier ◽  
Vagner Henrique Loiola Bessa ◽  
João Cláudio Nunes Carvalho ◽  
...  
Keyword(s):  
Interaction Potential ◽  
Dimensionless Parameter ◽  
Charged Particles ◽  
Mean Square Displacement ◽  
Colloidal Crystals ◽  
One Dimensional ◽  
Single File ◽  
Normal Diffusion ◽  
Small Clusters ◽  
Diffusive Behaviour

Diffusive properties of colloidal crystals in a quasi-one-dimensional channel are studied using numerical simulations. In order to study the influence of the attractive interaction between particles, it was introduced as an artificial dimensionless parameter β in the attractive term of the interaction potential. Changing the value of β, we can tune the effect of attraction between particles. We show that charged particles can change their mobility and the diffusion exponent of a one-chain like system. Variation on exponent diffusion can be induced by tuning the attractive part of interaction potential, making possible the existence of diffusive regimes between single-file diffusion (SFD) and normal diffusion, without changing confinement strength. System stoichiometry was changed, imposing particles in different arrangements in small clusters, which varies the diffusive behaviour. If stoichiometry is different from 1:1, it is possible to have particles with equal charges but with different mobilities. Another important observation is that mean-square displacement (MSD) for different charges is different for different values.

Displacement correlation as an indicator of collective motion in one-dimensional and quasi-one-dimensional systems of repulsive Brownian particles

2015 ◽  
Vol 29 (34) ◽  
pp. 1550221 ◽  
Author(s):  
Takeshi Ooshida ◽  
Susumu Goto ◽  
Takeshi Matsumoto ◽  
Michio Otsuki
Keyword(s):  
Collective Motion ◽  
Static Structure Factor ◽  
Static Structure ◽  
One Dimensional ◽  
Point Space ◽  
Single File ◽  
Brownian Particles ◽  
Time Correlations ◽  
Collective Motions ◽  
Normal Diffusion

While the slow dynamics in glassy liquids are known to be accompanied by collective motions undetectable with static structure factor and requiring four-point space-time correlations for their detection, it is usually difficult to calculate such correlations analytically. In the present study, a system of Brownian particles in a (quasi-)one-dimensional passageway is taken as an example to demonstrate the usefulness of displacement correlation. In the purely one-dimensional case (known as the single-file diffusion) with overtaking forbidden, the diffusion slows down and collective motion is captured by displacement correlation both calculated here numerically and analytically. On the other hand, displacement correlation vanishes if overtaking is allowed, which leads to normal diffusion.

scholarly journals Insights from Single-File Diffusion into Cooperativity in Higher Dimensions

2016 ◽  
Vol 11 (01) ◽  
pp. 9-38 ◽  
Author(s):  
Takeshi Ooshida ◽  
Susumu Goto ◽  
Takeshi Matsumoto ◽  
Michio Otsuki
Keyword(s):  
Large Scale ◽  
Mean Square Displacement ◽  
Colloidal Suspensions ◽  
Higher Dimensions ◽  
Colloidal Systems ◽  
One Dimensional ◽  
Single File ◽  
The Mean ◽  
The One ◽  
Single File Diffusion

Diffusion in colloidal suspensions can be very slow due to the cage effect, which confines each particle within a short radius on one hand, and involves large-scale cooperative motions on the other. In search of insight into this cooperativity, here the authors develop a formalism to calculate the displacement correlation in colloidal systems, mainly in the two-dimensional (2D) case. To clarify the idea for it, studies are reviewed on cooperativity among the particles in the one-dimensional (1D) case, i.e. the single-file diffusion (SFD). As an improvement over the celebrated formula by Alexander and Pincus on the mean-square displacement (MSD) in SFD, it is shown that the displacement correlation in SFD can be calculated from Lagrangian correlation of the particle interval in the one-dimensional case, and also that the formula can be extended to higher dimensions. The improved formula becomes exact for large systems. By combining the formula with a nonlinear theory for correlation, a correction to the asymptotic law for the MSD in SFD is obtained. In the 2D case, the linear theory gives description of vortical cooperative motion.

One-dimensional Gaussian-core fluid: ordering and crossover from normal diffusion to single-file dynamics

Soft Matter ◽  
2016 ◽  
Vol 12 (44) ◽  
pp. 9047-9057 ◽  
Author(s):  
Salvador Herrera-Velarde ◽  
Gabriel Pérez-Angel ◽  
Ramón Castañeda-Priego
Keyword(s):  
One Dimensional ◽  
Single File ◽  
Normal Diffusion

scholarly journals Single-file and normal diffusion of magnetic colloids in modulated channels

2014 ◽  
Vol 89 (3) ◽  
Author(s):  
D. Lucena ◽  
J. E. Galván-Moya ◽  
W. P. Ferreira ◽  
F. M. Peeters
Keyword(s):  
Single File ◽  
Normal Diffusion ◽  
Magnetic Colloids

scholarly journals Anomalous Diffusion with an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 506
Author(s):  
Sho Nakade ◽  
Kazuki Kanki ◽  
Satoshi Tanaka ◽  
Tomio Petrosky
Keyword(s):  
Diffusion Coefficient ◽  
Diffusion Constant ◽  
Mean Square Displacement ◽  
Second Law Of Thermodynamics ◽  
Molecular Chain ◽  
Chain Model ◽  
Phase Mixing ◽  
One Dimensional ◽  
The One ◽  
Negative Diffusion

An interesting anomaly in the diffusion process with an apparently negative diffusion coefficient defined through the mean-square displacement in a one-dimensional quantum molecular chain model is shown. Nevertheless, the system satisfies the H-theorem so that the second law of thermodynamics is satisfied. The reason why the “diffusion constant” becomes negative is due to the effect of the phase mixing process, which is a characteristic result of the one-dimensionality of the system. We illustrate the situation where this negative “diffusion constant” appears.

scholarly journals Dynamic simulations of many-body electrostatic self-assembly

2018 ◽  
Vol 376 (2115) ◽  
pp. 20170143 ◽  
Author(s):  
Eric B. Lindgren ◽  
Benjamin Stamm ◽  
Yvon Maday ◽  
Elena Besley ◽  
A. J. Stace
Keyword(s):  
Self Assembly ◽  
Experimental Studies ◽  
Charged Particles ◽  
Theoretical Chemistry ◽  
Many Body ◽  
Single Particles ◽  
Theme Issue ◽  
Dynamic Simulations ◽  
The Subject ◽  
Small Clusters

Two experimental studies relating to electrostatic self-assembly have been the subject of dynamic computer simulations, where the consequences of changing the charge and the dielectric constant of the materials concerned have been explored. One series of calculations relates to experiments on the assembly of polymer particles that have been subjected to tribocharging and the simulations successfully reproduce many of the observed patterns of behaviour. A second study explores events observed following collisions between single particles and small clusters composed of charged particles derived from a metal oxide composite. As before, observations recorded during the course of the experiments are reproduced by the calculations. One study in particular reveals how particle polarizability can influence the assembly process. This article is part of the theme issue ‘Modern theoretical chemistry’.

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