Single-file diffusion in periodic energy landscapes: The role of hydrodynamic interactions

Euán-Díaz, Edith C.; Peeters, F. M.; Herrera-Velarde, Salvador; Castañeda-Priego, Ramón

doi:10.1103/physreve.86.031123

Cited by 20 publications

(22 citation statements)

References 60 publications

(144 reference statements)

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“…4 Even more complex dependencies on hydrodynamic interactions were found when the particles are subject to periodic potentials. 19 The diffusion coefficient as a function of the packing fraction is imaged in Fig. 8 for all analysed dipole clusters.…”

Section: Transport Coefficient From Inmmentioning

confidence: 99%

Effect of confinement on the mode dynamics of dipole clusters

et al. 2015

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Dynamical properties of colloidal clusters composed of paramagnetic beads are presented. The clusters were trapped either in a parabolic trough or in a hard-wall confinement. In order to access the dynamics of the ensembles, the instantaneous normal mode (INM) approach is utilized, which uses cluster configurations as an input. The peaks in the mode spectra weaken when the system size is increased and when the coupling strength is lowered. The short-time diffusive properties of the clusters are deduced using the INM technique. It is found that angular diffusion is always larger than radial diffusion regardless of the shape of the external trap. Further, short-time diffusion seems to be almost independent of the coupling strength in the solid regime, but decreases with increasing packing fraction and size of the ensembles. In general, it is found that diffusion is larger for parabolically confined than for hard-wall trapped clusters.

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Section: Transport Coefficient From Inmmentioning

confidence: 99%

Effect of confinement on the mode dynamics of dipole clusters

et al. 2015

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“…Finally, our model system does not take into account hydrodynamic interaction (HI) effects (particle-fluid and particle-wall interactions), which usually have only a small effect on the qualitative behavior of the diffusion properties, as recently demonstrated by Euán-Díaz et al [52]. A similar approach was adopted for a dilute dipolar colloidal suspension in Refs.…”

Section: A Model Systemmentioning

confidence: 99%

Tunable diffusion of magnetic particles in a quasi-one-dimensional channel

et al. 2013

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The diffusion of a system of ferromagnetic dipoles confined in a quasi-one-dimensional parabolic trap is studied using Brownian dynamics simulations. We show that the dynamics of the system is tunable by an in-plane external homogeneous magnetic field. For a strong applied magnetic field, we find that the mobility of the system, the exponent of diffusion and the crossover time among different diffusion regimes can be tuned by the orientation of the magnetic field. For weak magnetic fields, the exponent of diffusion in the subdiffusive regime is independent of the orientation of the external field.

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“…The major difference with the quenched case comes from the boundary conditions (24)- (23). When D(ρ) = 1 and σ(ρ) = 2ρ, the boundary conditions become…”

Section: Annealed Casementioning

confidence: 99%

“…Since then, a large amount of work has been devoted to the study of more general single-file systems [20][21][22][23][24][25][26][27][28][29][30]. Most of these studies concentrate on the calculation of the variance, and even this requires a rather elaborate analysis when there are interactions in addition to the hard-core repulsion.…”

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confidence: 99%

Tagged Particle in Single-File Diffusion

2015

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Single-file diffusion is a one-dimensional interacting infinite-particle system in which the order of particles never changes. An intriguing feature of single-file diffusion is that the mean-square displacement of a tagged particle exhibits an anomalously slow sub-diffusive growth. We study the full statistics of the displacement using a macroscopic fluctuation theory. For the simplest single-file system of impenetrable Brownian particles we compute the large deviation function and provide an independent verification using an exact solution based on the microscopic dynamics. For an arbitrary single-file system, we apply perturbation techniques and derive an explicit formula for the variance in terms of the transport coefficients. The same method also allows us to compute the fourth cumulant of the tagged particle displacement for the symmetric exclusion process.

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Single-file diffusion in periodic energy landscapes: The role of hydrodynamic interactions

Cited by 20 publications

References 60 publications

Effect of confinement on the mode dynamics of dipole clusters

Effect of confinement on the mode dynamics of dipole clusters

Tunable diffusion of magnetic particles in a quasi-one-dimensional channel

Tagged Particle in Single-File Diffusion

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