Ordering and single-file diffusion in colloidal systems

Herrera-Velarde, Salvador; Zamudio‐Ojeda, Adalberto; Castañeda-Priego, Ramón

doi:10.1063/1.3479003

Cited by 26 publications

(44 citation statements)

References 54 publications

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“…[34], where the dynamical properties of the one-dimensional system of rotating hard rectangles have been examined. In the very recent study of Herrera-Velarde et al [35], common structural and dynamical behaviors have been found at the transitions from fluid-like to solid-like structures in some repulsive one-dimensional systems.…”

Section: Discussionmentioning

confidence: 99%

Structural properties of hard disks in a narrow tube

Varga¹,

Balló²,

Gurin³

2011

J. Stat. Mech.

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Abstract. Positional ordering of a two-dimensional fluid of hard disks is examined in such narrow tubes where only the nearest-neighbor interactions take place. Using the exact transfer-matrix method the transverse and longitudinal pressure components and the correlation function are determined numerically. Fluid-solid phase transition does not occur even in the widest tube, where the method just loses its exactness, but the appearance of the dramatic change in the equation of state and the longitudinal correlation function shows that the system undergoes a structural change from a fluid to a solid-like order. The pressure components show that the collisions are dominantly longitudinal at low densities, while they are transverse in the vicinity of close packing density. The transverse correlation function shows that the size of solid-like domains grows exponentially with increasing pressure and the correlation length diverges at close packing. It is managed to find an analytically solvable model by expanding the contact distance up to first order. The approximate model, which corresponds to the system of hard parallel rhombuses, behaves very similarly to the system of hard disks.

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Section: Discussionmentioning

confidence: 99%

Structural properties of hard disks in a narrow tube

Varga¹,

Balló²,

Gurin³

2011

J. Stat. Mech.

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“…The essential difference between the normal diffusion and SFD lies in the dependence of mean-squared displacement of particles on the time interval t. In normal diffusion, MSD is proportional to t, while in SFD, MSD grows as √ t with respect to time. Such a dependence of MSD on √ t has been observed in many single-file systems in experiments [25][26][27][28] as well as in molecular simulations [29][30][31][32].…”

Section: Introductionmentioning

confidence: 84%

Crossover from normal diffusion to single-file diffusion of particles in a one-dimensional channel: LJ particles in zeolite zsm-22

Kumar

2014

Molecular Physics

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The crossover from normal Fickian diffusion, where mean-squared displacement goes as t to single-file diffusion, where t 0.5 is studied as function of particle size confined in zeolite zsm-22 using molecular dynamics simulations. The simulation results indicate that the crossover is smooth as the particle size increases and the diffusion reaches single file through a series of subdiffusion processes. A small number of mutual passage of particles can destroy the correlated single-file diffusion. The density dependence on single-file mobility obtained from molecular dynamics simulations are in very good agreement with theoretical predictions.

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“…On one hand, a latest simulation of the 1D Gaussian-core model, a typical soft-core system, has validated that particle clustering actually yields thermodynamic and structural anomalies [3]. Meanwhile, a set of Brownian simulations using various short-ranged interactions has demonstrated that the pronounced first peaks in the static structure factors are equally observed in dense 1D fluids where particles have a critical mobility [4].…”

Section: Introductionmentioning

confidence: 99%

Emerging quasi-0D states at vanishing total entropy of the 1D hard sphere system: A coarse-grained similarity to the car parking problem

Frusawa

2014

Physics Letters A

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A coarse-grained system of one-dimensional (1D) hard spheres (HSs) is created using the Delaunay tessellation, which enables one to define the quasi-0D state. It is found from comparing the quasi-0D and 1D free energy densities that a frozen state due to the emergence of quasi-0D HSs is thermodynamically more favorable than fluidity with a large-scale heterogeneity above crossover volume fraction of φc = e/(1 + e) = 0.731 · · · , at which the total entropy of the 1D state vanishes. The Delaunay-based lattice mapping further provides a similarity between the dense HS system above φc and the jamming limit in the car parking problem.

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Ordering and single-file diffusion in colloidal systems

Cited by 26 publications

References 54 publications

Structural properties of hard disks in a narrow tube

Structural properties of hard disks in a narrow tube

Crossover from normal diffusion to single-file diffusion of particles in a one-dimensional channel: LJ particles in zeolite zsm-22

Emerging quasi-0D states at vanishing total entropy of the 1D hard sphere system: A coarse-grained similarity to the car parking problem

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