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

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 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.

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

Theory of Tracer Exchange in Single-File Systems

1997 ◽  
Vol 62 (7) ◽  
pp. 995-1014 ◽  
Author(s):  
Christian Rödenbeck ◽  
Jörg Kärger ◽  
Karsten Hahn
Keyword(s):  
Residence Time ◽  
Time Distribution ◽  
Residence Time Distribution ◽  
File System ◽  
File Systems ◽  
One Dimensional ◽  
Single File ◽  
Transport Diffusion ◽  
Diffusional Regime ◽  
Tracer Exchange

Tracer exchange in single-file systems (one-dimensional diffusional systems where the particles are not able to pass each other) shows peculiar and interesting features which differ considerably from that of transport diffusion or from the behaviour known from ordinary diffusional systems. A formalism relating the tracer exchange curve (as the observable of the tracer exchange experiment) to the residence time distribution (describing the intracrystalline diffusional mechanism) and the boundary condition (describing the situation outside) is introduced. The formalism is guite general and valid for any diffusional regime. Typical examples of the residence time distribution of a single-file system can be inferred from the tracer exchange curves obtained in a previous study by numerical simulations. Based on these examples, the tracer exchange curves for the single-file system subject to different boundary conditions (corresponding to a variety of experimental set-ups) are plotted and discussed.

Exploring Single-File Diffusion in One-Dimensional Nanochannels by Laser-Polarized129Xe NMR Spectroscopy

2000 ◽  
Vol 104 (50) ◽  
pp. 11665-11670 ◽  
Author(s):  
Thomas Meersmann ◽  
John W. Logan ◽  
Roberto Simonutti ◽  
Stefano Caldarelli ◽  
Angiolina Comotti ◽  
...  
Keyword(s):  
Nmr Spectroscopy ◽  
One Dimensional ◽  
Single File ◽  
Single File Diffusion

Water Molecules in Single File:  First-Principles Studies of One-Dimensional Water Chains in Zeolites

2001 ◽  
Vol 105 (15) ◽  
pp. 3012-3016 ◽  
Author(s):  
Ettore Fois ◽  
Aldo Gamba ◽  
Gloria Tabacchi ◽  
Simona Quartieri ◽  
Giovanna Vezzalini
Keyword(s):  
First Principles ◽  
Water Molecules ◽  
One Dimensional ◽  
Single File

Squeezing xenon into phenylether bis-urea nanochannels

2015 ◽  
Vol 93 (9) ◽  
pp. 1031-1034 ◽  
Author(s):  
Clifford R. Bowers ◽  
Muslim Dvoyashkin ◽  
Sahan R. Salpage ◽  
Christopher Akel ◽  
Hrishi Bhase ◽  
...  
Keyword(s):  
Gas Phase ◽  
Persistence Length ◽  
Channel Structure ◽  
Chemical Shift Tensor ◽  
Cross Sectional ◽  
Elliptical Cross ◽  
One Dimensional ◽  
Single File ◽  
Nmr Data ◽  
Pattern Characteristic

One-dimensional nanochannels, hundreds of microns in persistence length but with elliptical cross-sectional dimensions of only ∼3.7 Å × 4.8 Å, are formed by the columnar assembly of phenylether bis-urea macrocycles. Hyperpolarized Xe-129 NMR is utilized to investigate the Xe atom packing and Xe diffusion inside the needle shaped crystals. The elliptical channel structure produces a Xe-129 powder pattern characteristic of an asymmetric chemical shift tensor extending to well over 300 ppm with respect to the gas phase, reflecting the highly anisotropic electronic environment and extreme confinement of the atom. Consistent with the simple geometrical criterion, hyperpolarized tracer exchange NMR data reveals single-file diffusion in the bis-urea nanochannels.

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