Facilitated Asymmetric Exclusion

Gabel, Alan; Krapivsky, P. L.; Redner, S.

doi:10.1103/physrevlett.105.210603

Cited by 45 publications

(69 citation statements)

References 29 publications

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“…Thus, it is negative at high densities, corresponding to holes moving "backwards" (the simplest case being the single-hole system). An unusual and notable feature of AEP is "cooperative motion" [19][20][21]. In an ordinary TASEP, adding a particle to the system always reduces both v and ∂ ρ J.…”

Section: B Currents and Velocitiesmentioning

confidence: 99%

“…It is intriguing that, at high densities (ρ > 1/2), J AC can exceed 2 × J TASEP . Meanwhile, for low densities, the kicking action results in "facilitated" or "cooperative motion" [19][20][21], where the average velocity of the particles, v, can be increased by adding particles to the system. Clearly absent in the ordinary TASEP, this phenomenon can be characterized by ∂ ρ v > 0 or a positive curvature in J: ∂ 2 ρ J > 0 [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, for low densities, the kicking action results in "facilitated" or "cooperative motion" [19][20][21], where the average velocity of the particles, v, can be increased by adding particles to the system. Clearly absent in the ordinary TASEP, this phenomenon can be characterized by ∂ ρ v > 0 or a positive curvature in J: ∂ 2 ρ J > 0 [19][20][21]. Furthermore, for moderate values of max and at high densities, the system exhibits an inhomogeneous state in which the particles "condense" into a macroscopic, "solid" cluster, in coexistence with a "fluid" of density ∼ 1/2.…”

Section: Introductionmentioning

confidence: 99%

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Mass transport perspective on an accelerated exclusion process: Analysis of augmented current and unit-velocity phases

2013

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In an accelerated exclusion process (AEP), each particle can "hop" to its adjacent site if empty as well as "kick" the frontmost particle when joining a cluster of size ≤ max. With various choices of the interaction range, max, we find that the steady state of AEP can be found in a homogeneous phase with augmented currents (AC) or a segregated phase with holes moving at unit velocity (UV). Here we present a detailed study on the emergence of the novel phases, from two perspectives: the AEP and a mass transport process (MTP). In the latter picture, the system in the UV phase is composed of a condensate in coexistence with a fluid, while the transition from AC to UV can be regarded as condensation. Using Monte Carlo simulations, exact results for special cases, and analytic methods in a mean field approach (within the MTP), we focus on steady state currents and cluster sizes. Excellent agreement between data and theory is found, providing an insightful picture for understanding this model system.

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Section: B Currents and Velocitiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mass transport perspective on an accelerated exclusion process: Analysis of augmented current and unit-velocity phases

2013

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“…Macroscopic quantities of interest, in particular the particle density and current and their fluctuations as well as configurational properties, such as the dynamics of the largest cluster and the condensation transition, have been of renewed interest for various generalizations [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] of the basic TASEP model, many of them interesting, e.g., from the point of view of RNA transcription, jamming of traffic flow, phase separation, and growth phenomena.…”

Section: Introductionmentioning

confidence: 99%

Totally asymmetric exclusion process fed by using a non-Poissonian clock

Merikoski

2015

Phys. Rev. E

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Totally asymmetric exclusion process fed by using a non-Poissonian clock Merikoski, Juha Merikoski, J. (2015). Totally asymmetric exclusion process fed by using a nonPoissonian clock. Physical review E, 91 (6), 062101. doi:10.1103/PhysRevE.91.062101 2015PHYSICAL REVIEW E 91, 062101 (2015) Totally asymmetric exclusion process fed by using a non-Poissonian clock In this article we consider the one-dimensional totally asymmetric open-boundary exclusion process fed by a process with power-law-distributed waiting times. More specifically, we use a modified Pareto distribution to define the jump rate for jumps into the system. We then characterize the propagation of fluctuations through the system by kinetic Monte Carlo simulations and by numerical evaluation of the steady-state partition function.

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“…Macroscopic quantities of interest, including the current through the system and its fluctuations, as well as configurational properties, such as the dynamics of the largest cluster and the condensation transition, have been of a renewed interest for various generalizations [6][7][8][9][10][11][12][13][14][15][16][17] of the basic TASEP model, many of them interesting, e.g., from the point of view of RNA transcription, jamming of traffic flow, phase separation, and growth phenomena.…”

Section: Introductionmentioning

confidence: 99%

Accelerated transport and growth with symmetrized dynamics

Merikoski

2013

Phys. Rev. E

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In this paper we consider a model of accelerated dynamics with the rules modified from those of the recently proposed [Dong et al., Phys. Rev. Lett. 109, 130602 (2012)] accelerated exclusion process (AEP) such that particle-vacancy symmetry is restored to facilitate a mapping to a solid-on-solid growth model in 1 + 1 dimensions. In addition to kicking a particle ahead of the moving particle, as in the AEP, in our model another particle from behind is drawn, provided it is within the "distance of interaction" denoted by max . We call our model the doubly accelerated exclusion process (DAEP). We observe accelerated transport and interface growth and widening of the cluster size distribution for cluster sizes above max , when compared with the ordinary totally asymmetric exclusion process (TASEP). We also characterize the difference between the TASEP, AEP, and DAEP by computing a "staggered" order parameter, which reveals the local order in the steady state. This order in part explains the behavior of the particle current as a function of density. The differences of the steady states are also reflected by the behavior of the temporal and spatial correlation functions in the interface picture.

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Facilitated Asymmetric Exclusion

Cited by 45 publications

References 29 publications

Mass transport perspective on an accelerated exclusion process: Analysis of augmented current and unit-velocity phases

Mass transport perspective on an accelerated exclusion process: Analysis of augmented current and unit-velocity phases

Totally asymmetric exclusion process fed by using a non-Poissonian clock

Accelerated transport and growth with symmetrized dynamics

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