Publisher's Note: Single file diffusion in macroscopic Wigner rings [Phys. Rev. E<b>73</b>, 031112 (2006)]

Coupier, Gwennou; Jean, M.; Guthmann, C.

doi:10.1103/physreve.73.049903

Cited by 23 publications

(54 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dimensionless potential energy is such that 6 < Γ < 55. The damping constant γ ranges between 10 s −1 and 30 s −1 (see [28], Fig. 6).…”

Section: B Algorithmmentioning

confidence: 99%

“…In order to allow a direct comparison between simulations and experiments, we take the same interaction potential as in our experimental set-up [24,28,29]. It reads…”

Section: Description Of the Simulation A A Line Of Particles Witmentioning

confidence: 99%

“…A constant voltage is applied to the electrodes, inducing a charge distribution of the beads. The condenser is fixed on loudspeakers excited with a white noise voltage, and we have checked that this mechanical shaking behaves as an effective thermal bath [24,28,29]. In this system the measurement of the damping constant γ proved that the balls diffusion is underdamped [28].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

2011

Self Cite

View full text Add to dashboard Cite

We study the Single File Diffusion (SFD) of a cyclic chain of particles that cannot cross each other, in a thermal bath, with long ranged interactions, and arbitrary damping. We present simulations that exhibit new behaviors specifically associated to systems of small number of particles and to small damping. In order to understand those results, we present an original analysis based on the decomposition of the particles motion in the normal modes of the chain. Our model explains all dynamic regimes observed in our simulations, and provides convincing estimates of the crossover times between those regimes.

show abstract

“…The dimensionless potential energy is such that 6 < Γ < 55. The damping constant γ ranges between 10 s −1 and 30 s −1 (see [28], Fig. 6).…”

Section: B Algorithmmentioning

confidence: 99%

“…In order to allow a direct comparison between simulations and experiments, we take the same interaction potential as in our experimental set-up [24,28,29]. It reads…”

Section: Description Of the Simulation A A Line Of Particles Witmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

2011

Self Cite

View full text Add to dashboard Cite

show abstract

“…Single-file diffusion has also been observed in a number of experiments such as in colloidal systems and ring-like constructions. 9,10,11 One of the most apparent characteristics of single-file diffusion is that the mean square displacement (MSD) (x T − x T ,0 ) 2 (the brackets denote an average over thermal noise and initial positions of nontagged particles, x T is the tagged particle position and x T ,0 is the initial position of the tagged particle) of a tagged particle is proportional to t 1/2 for long times in an infinite system with a fixed particle concentration; the corresponding probability density function (PDF) of the tagged particle position is Gaussian. The first study showing the t 1/2 behavior of the MSD and the fact that the PDF is Gaussian is found in Ref.…”

Section: Introductionmentioning

confidence: 99%

Single-file dynamics with different diffusion constants

Ambjörnsson

Lizana²,

Lomholt

et al. 2008

The Journal of Chemical Physics

View full text Add to dashboard Cite

We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have different diffusion constants. For the two particle case an exact result for the conditional probability density function (PDF) is obtained for arbitrary initial particle positions and all times. The two-particle PDF is used to obtain the tagged particle PDF. For the general N -particle case (N large) we perform stochastic simulations using our new computationally efficient stochastic simulation technique based on the Gillespie algorithm. We find that the mean square displacement for a tagged particle scales as the square root of time (as for identical particles) for long times, with a prefactor which depends on the diffusion constants for the particles; these results are in excellent agreement with very recent analytic predictions in the mathematics literature.

show abstract

“…Although the overall density of particles in such a system evolves as if there is no interaction, 1 the diffusion of one specific particle (a tagged particle, or a tracer) is slowed down by the exclusion interactions with neighboring particles. Experimentally SFD is observed for instance in narrow biological pores, 2 inside zeolites, 3,4 during the sliding of proteins along DNA, 5,6 and in many other either natural or artificial systems [7][8][9][10][11][12][13][14][15][16][17] .…”

Section: Introductionmentioning

confidence: 99%

Single-file diffusion in an interval: First passage properties

Ryabov

2013

The Journal of Chemical Physics

View full text Add to dashboard Cite

We investigate the long-time behavior of the survival probability of a tagged particle in a single-file diffusion in a finite interval. The boundary conditions are of two types: 1) one boundary is absorbing the second is reflecting, 2) both boundaries are absorbing. For each type of the boundary conditions we consider two types of initial conditions: a) initial number of particles N is given, b) initial concentration of particles is given (N is random). In all four cases the tagged-particle survival probability exhibits different asymptotic behavior. When the both boundaries are absorbing we also consider a case of a random interval length (single-file diffusion on a line with randomly distributed traps). In the latter setting, the initial concentration of particles has the same effect on the asymptotic decay of the survival probability as the concentration of traps.

show abstract

Publisher's Note: Single file diffusion in macroscopic Wigner rings [Phys. Rev. E73, 031112 (2006)]

Cited by 23 publications

References 0 publications

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

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

Single-file dynamics with different diffusion constants

Single-file diffusion in an interval: First passage properties

Contact Info

Product

Resources

About