Ageing single file motion

Metzler, Ralf; Sanders, Lloyd P.; Lomholt, Michael A.; Lizana, Ludvig; Fogelmark, Karl; Ambjörnsson, Tobias

doi:10.1140/epjst/e2014-02333-5

Cited by 8 publications

(9 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this limit the diffusion is ergodic, as we demonstrate in figure 3(A),B. This statement is not necessarily trivial: in many weakly non-ergodic systems the time averaged MSD turns out to be a linear function of the lag time Δ while the ensemble averaged MSD scales as a power-law or logarithmically in time t. This phenomenon was observed in a number of experiments [14,[54][55][56] and explained in terms of various stochastic processes [7,29,30,[111][112][113][114][115][116][117][118][119]. Figure 3(A) demonstrates both that to very good approximation ergodicity in the sense of the equality…”

Section: Time Averaged Msd and Ergodicity Breaking Parametermentioning

confidence: 68%

“…3. This statement is not necessarily trivial: in many weakly non-ergodic systems the time averaged MSD turns out to be a linear function of the lag time ∆ while the ensemble averaged MSD scales as a power-law or logarithmically in time t. This phenomenon was observed in various experiments [13,42,43,44] and explained in terms of various stochastic processes [7,25,26,68,69,70,71,72,73]. Fig.…”

Section: Resultsmentioning

confidence: 95%

See 1 more Smart Citation

Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions

2015

View full text Add to dashboard Cite

We examine by extensive computer simulations the self-diffusion of anisotropic star-like particles in crowded two-dimensional solutions. We investigate the implications of the area coverage fraction f of the crowders and the crowder-crowder adhesion properties on the regime of transient anomalous diffusion. We systematically compute the mean squared displacement (MSD) of the particles, their time averaged MSD, and the effective diffusion coefficient. The diffusion is ergodic in the limit of long traces, such that the mean time averaged MSD converges towards the ensemble averaged MSD, and features a small residual amplitude spread of the time averaged MSD from individual trajectories. At intermediate time scales, we quantify the anomalous diffusion in the system. Also, we show that the translational-but not rotational-diffusivity of the particles D is a nonmonotonic function of the attraction strength between them. Both diffusion coefficients decrease as the power law D 1with the area fraction f occupied by the crowders and the critical value . f Our results might be applicable to rationalising the experimental observations of non-Brownian diffusion for a number of standard macromolecular crowders used in vitro to mimic the cytoplasmic conditions of living cells.

show abstract

Section: Time Averaged Msd and Ergodicity Breaking Parametermentioning

confidence: 68%

Section: Resultsmentioning

confidence: 95%

Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions

2015

View full text Add to dashboard Cite

show abstract

“…[83,84]), which is not surprising given its universal nature. The TP dynamics in single-files still represents a challenging playground for testing different analytical techniques and probing other properties: convergence of the distribution of X t to a Gaussian [78], explicit form of the distribution of X t at arbitrary, not necessarily large times in dense systems [89], the TP dynamics in the presence of a slower-than-diffusive environment [90], large deviations properties [91][92][93][94][95] and emerging correlations [70,[96][97][98][99][100]. Surprisingly, some unexpected features of this seemingly exhaustively well-studied process keep on being revealed: it was shown recently [101] (see also Refs.…”

Section: Unbiased Tracer Diffusionmentioning

confidence: 99%

Tracer diffusion in crowded narrow channels

Bénichou

Illien

Oshanin

et al. 2018

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We summarise different results on the diffusion of a tracer particle in lattice gases of hard-core particles with stochastic dynamics, which are confined to narrow channels-single-files, comb-like structures and quasi-one-dimensional channels with the width equal to several particle diameters. We show that in such geometries a surprisingly rich, sometimes even counter-intuitive, behaviour emerges, which is absent in unbounded systems. This is well-documented for the anomalous diffusion in single-files. Less known is the anomalous dynamics of a tracer particle in crowded branching single-files-comb-like structures, where several kinds of anomalous regimes take place. In narrow channels, which are broader than single-files, one encounters a wealth of anomalous behaviours in the case where the tracer particle is subject to a regular external bias: here, one observes an anomaly in the temporal evolution of the tracer particle velocity, super-diffusive at transient stages, and ultimately a giant diffusive broadening of fluctuations in the position of the tracer particle, as well as spectacular multi-tracer effects of self-clogging of narrow channels. Interactions between a biased tracer particle and a confined crowded environment also produce peculiar patterns in the out-of-equilibrium distribution of the environment particles, very different from the ones appearing in unbounded systems. For moderately dense systems, a surprising effect of a negative differential mobility takes place, such that the velocity of a biased tracer particle can be a non-monotonic function of the force. In some parameter ranges, both the velocity and the diffusion coefficient of a biased tracer particle can be non-monotonic functions of the density. We also survey different results obtained for a tracer particle diffusion in unbounded systems, which will permit a reader to have an exhaustively broad picture of the tracer diffusion in crowded environments.

show abstract

“…biological channels 55 , transport in zeolites 56 , crowding effects in gene regulation 57,58 , superionic conductors 59 , and strongly correlated one-dimensional soft matter systems in general 60 . Over the past years diverse theoretical studies yielded deep insight about the anomalous tagged-particle diffusion [61][62][63][64][65][66][67][68][69] and the emergence and meaning of memory 35,70,71 . Single-file diffusion in potential landscapes has been studied by computer simulations 72 .…”

Section: Introductionmentioning

confidence: 99%

Single-file diffusion in a bi-stable potential: signatures of memory in the barrier-crossing of a tagged-particle

Lapolla,

Godec

2020

Preprint

View full text Add to dashboard Cite

We investigate memory effects in barrier-crossing in the overdamped setting. We focus on the scenario where the hidden degrees of freedom relax on exactly the same time scale as the observable. As a prototypical model we analyze taggedparticle diffusion in a single-file confined to a bi-stable potential. We identify the signatures of memory and explain their origin. The emerging memory is a result of the projection of collective many-body eigenmodes onto the motion of a tagged-particle. We are interested in the 'confining' (all background particles in front of the tagged-particle) and 'pushing' (all background particles behind the tagged-particle) scenarios for which we find non-trivial and qualitatively different relaxation behavior. Notably and somewhat unexpectedly, at fixed particle number we find that the higher the barrier the more prominent are the signatures of memory. Our results can readily be tested experimentally and may be relevant for understanding transport in biological ion-channels.

show abstract

Ageing single file motion

Cited by 8 publications

References 60 publications

Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions

Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions

Tracer diffusion in crowded narrow channels

Single-file diffusion in a bi-stable potential: signatures of memory in the barrier-crossing of a tagged-particle

Contact Info

Product

Resources

About