Cooperativity-driven singularities in asymmetric exclusion

Gabel, Alan; Redner, S.

doi:10.1088/1742-5468/2011/06/p06008

Cited by 13 publications

(21 citation statements)

References 25 publications

(42 reference statements)

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“…Both simulation data and ∂ f v MTP-MF = (1 + f ) (1 − 3f ) display such a regime. Similarly, this behavior is also present in ∂ 2 ρ J, studied in [19][20][21] and easily discerned as curvature shown in Fig. 3.…”

Section: B Currents and Velocitiessupporting

confidence: 67%

“…Here, let us present the numerical results from Eqs. (21,22) for the cases above. The agreement with the two data sets are again remarkably good (Fig.7).…”

Section: B Condensation In Mtpmentioning

confidence: 99%

“…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%

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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 Velocitiessupporting

confidence: 67%

“…Here, let us present the numerical results from Eqs. (21,22) for the cases above. The agreement with the two data sets are again remarkably good (Fig.7).…”

Section: B Condensation In Mtpmentioning

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, 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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“…We also would like to mention that recently an exclusion process similar to the KLS process has been studied, in which the hopping rate of particle on site i depends on whether site i − 1 is occupied or not [25,26]. The exclusion process is named the facilitated or cooperative exclusion process.…”

Section: Introductionmentioning

confidence: 99%

Phase transitions induced by competition of two driven parts in a periodic system

Shi

Jiang

Hu³

et al. 2012

Phys. Rev. E

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This paper studies a periodic driven diffusive system, which separates into two equal-sized parts with different values of hopping rates. Competition of the two different driven parts leads to various bulk-driven phase transitions, including shock and antishock. More interestingly, for the symmetric scenario, one can observe shock and antishock simultaneously in the system. We have explained the coexistence of shock and antishock via the effective boundary reservoir density. Theoretical analysis has been carried out to characterize the emerging nonequilibrium steady states, which is in good agreement with Monte Carlo simulations.

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Cooperativity-driven singularities in asymmetric exclusion

Cited by 13 publications

References 25 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

Accelerated transport and growth with symmetrized dynamics

Phase transitions induced by competition of two driven parts in a periodic system

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