Accelerated transport and growth with symmetrized dynamics

Merikoski, J.

doi:10.1103/physreve.88.062137

Cited by 4 publications

(4 citation statements)

References 19 publications

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“…Exclusion processes with avalanches of limited duration constitute an obvious challenge; some of these processes have been investigated in Refs. [28][29][30], but they have not been solved so far.…”

Section: Discussionmentioning

confidence: 99%

“…Another feature which is always obeyed is that every hopping event involves a single particle. Lattice gases violating this second property have been recently investigated [28][29][30]. In the accelerated exclusion process [28,29], for instance, the initial hop can trigger at most one more hop: As in the SEP, particles undergo nearest-neighbor hopping, and if a particle hops to a vacant site and joins an island of length ≤ , the front particle from that island also hops.…”

Section: Introductionmentioning

confidence: 99%

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Exclusion processes with avalanches

Bhat

Krapivsky

2014

Phys. Rev. E

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In an exclusion process with avalanches, when a particle hops to a neighboring empty site which is adjacent to an island the particle on the other end of the island immediately hops, and if it joins another island this triggers another hop. There are no restrictions on the length of the islands and the duration of the avalanche. This process is well defined in the low-density region ρ < 1/2. We describe the nature of steady states (on a ring) and determine all correlation functions. For the asymmetric version of the process, we compute the steady state current, and we describe shock and rarefaction waves which arise in the evolution of the step-function initial profile. For the symmetric version, we determine the diffusion coefficient and examine the evolution of a tagged particle.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exclusion processes with avalanches

Bhat

Krapivsky

2014

Phys. Rev. E

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“…A subsequent mean-field study of the model was useful in clarifying its behavior in the homogeneous disordered phase, but did not resolve the questions regarding the phase transition [40] (see Refs. [41,42] for studies of related models). Here, using the MF scheme of Ref.…”

Section: Introductionmentioning

confidence: 99%

Condensation transition and drifting condensates in the accelerated exclusion process

Hirschberg,

Mukamel

2015

Preprint

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Recently, it was shown that spatial correlations may have a drastic effect on the dynamics of real-space condensates in driven mass-transport systems: in models with a spatially correlated steady state, the condensate is quite generically found to drift with a non-vanishing velocity. Here we examine the condensate dynamics in the accelerate exclusion process (AEP), where spatial correlations are present. This model is a "facilitated" generalization of the totally asymmetric simple exclusion process (TASEP) where each hopping particle may trigger another hopping event. Within a mean-field approach that captures some of the effects of correlations, we calculate the phase diagram of the AEP, analyze the nature of the condensation transition, and show that the condensate drifts, albeit with a velocity that vanishes in the thermodynamic limit. Numerical simulations are consistent with the mean-field phase diagram.

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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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Accelerated transport and growth with symmetrized dynamics

Cited by 4 publications

References 19 publications

Exclusion processes with avalanches

Exclusion processes with avalanches

Condensation transition and drifting condensates in the accelerated exclusion process

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

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