Single-file diffusion of particles with long-range interactions: Damping and finite-size effects

Delfau, Jean-Baptiste; Coste, Christophe; Jean, M.

doi:10.1103/physreve.84.011101

Cited by 44 publications

(87 citation statements)

References 40 publications

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“…For φ 55 o , the interaction potential is mainly repulsive and therefore it leads the system into a subdiffusive behavior, where α = 0.5. The scaling W (t) ∝ t 0.5 has been observed experimentally in repulsive interacting particles [37], and was also found from simulations [46,59] and through analytical [62,63] calculations. In this case, the minimum interparticle distance is approximately equal to d ≈ (ρ) −1 ≈ 1.2.…”

Section: Exponent Of Diffusion (α) In the Intermediate (Itr) Subdisupporting

confidence: 70%

“…4(a)] of the system exhibits a subdiffusive regime [single-file diffusion (SFD)], with W (t) = 2F a t 0.5 for time scales larger than the short-time normal diffusion regime (STND), which is characterized by W (t) = D 0 t [61]. The crossover time t c between these two distinct regimes of diffusion can be estimated [59] as the time where the curves D 0 t and 2F a t 0.5 intersect:…”

Section: Influence Of a Strong External Magnetic Field On Diffusionmentioning

confidence: 99%

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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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Section: Exponent Of Diffusion (α) In the Intermediate (Itr) Subdisupporting

confidence: 70%

Section: Influence Of a Strong External Magnetic Field On Diffusionmentioning

confidence: 99%

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

et al. 2013

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“…In this single-file diffusion (SFD), after an initial ballistic motion with a mean square displacement (MSD) scaling as t 2 , the particles undergo a subdiffusive motion characterized by a MSD increasing as t 1/2 . This non-Fickian t 1/2 scaling, which can be observed at long times, has also been predicted for particles with soft-core (or finite range) interactions [11][12][13][14].…”

Section: Introductionmentioning

confidence: 81%

“…A subdiffusive regime is observed for systems with periodic boundary conditions too [13,[15][16][17][18][19][20][21][22][23]. For hard-core interactions, the t 1/2 regime is eventually followed by a linear diffusion at very long times.…”

Section: Introductionmentioning

confidence: 93%

Single-file diffusion of particles in a box: Transient behaviors

2012

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We consider a finite number of particles with soft-core interactions, subjected to thermal fluctuations and confined in a box with excluded mutual passage. Using numerical simulations, we focus on the influence of the longitudinal confinement on the transient behavior of the longitudinal mean squared displacement. We exhibit several power laws for its time evolution according to the confinement range and to the rank of the particle in the file. We model the fluctuations of the particles as those of a chain of springs and point masses in a thermal bath. Our main conclusion is that actual system dynamics can be described in terms of the normal oscillation modes of this chain. Moreover, we obtain complete expressions for the physical observables, in excellent agreement with our simulations. The correct power laws for the time dependency of the mean squared displacement in the various regimes are recovered, and analytical expressions of the prefactors according to the relevant parameters are given.

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“…Single File conditions force particles to maintain spatial order thus generating a complex correlation structures in the system. As a result, particles perform a subdiffusive motion which lasts for a very long time if their number is large enough [33]. In spite of this, passive Single File evolution can be mapped onto normal diffusion thanks to the Reflection Principle.…”

Section: Active Brownian Particles Escaping a Channel In Single mentioning

confidence: 99%

Active Brownian particles escaping a channel in single file

2015

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Active particles may happen to be confined in channels so narrow that they cannot overtake each other (Single File conditions). This interesting situation reveals nontrivial physical features as a consequence of the strong inter-particle correlations developed in collective rearrangements. We consider a minimal model for active Brownian particles with the aim of studying the modifications introduced by activity with respect to the classical (passive) Single File picture. Depending on whether their motion is dominated by translational or rotational diffusion, we find that active Brownian particles in Single File may arrange into clusters which are continuously merging and splitting (active clusters) or merely reproduce passive-motion paradigms, respectively. We show that activity convey to self-propelled particles a strategic advantage for trespassing narrow channels against external biases (e.g., the gravitational field).

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Single-file diffusion of particles with long-range interactions: Damping and finite-size effects

Cited by 44 publications

References 40 publications

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

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

Single-file diffusion of particles in a box: Transient behaviors

Active Brownian particles escaping a channel in single file

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