Exact dynamical state of the exclusive queueing process with deterministic hopping.

Exact dynamical state of the exclusive queueing process with deterministic hopping.
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具有确定性跳跃的独占排队过程的精确动态状态。

DOI:
10.1103/physreve.84.051127
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发表时间:
2011
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
A. Schadschneider
A. Schadschneider
中科院分区:
--
文献类型:
--
作者:
C. Arita;A. Schadschneider

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排他排队过程(EQP)最近被引入作为考虑队列空间结构的队列动力学模型。它可以被解释为一个长度不等的完全不对称的排斥过程。在这里,我们调查的情况下,确定性的批量跳跃p=1,原来是一个罕见的情况下,精确的非平凡的动力学性质的结果可以得到。使用时间相关矩阵乘积形式,我们计算了几个动力学性质,例如,系统的密度分布。
The exclusive queueing process (EQP) has recently been introduced as a model for the dynamics of queues that takes into account the spatial structure of the queue. It can be interpreted as a totally asymmetric exclusion process of varying length. Here we investigate the case of deterministic bulk hopping p=1 that turns out to be one of the rare cases where exact nontrivial results for the dynamical properties can be obtained. Using a time-dependent matrix product form we calculate several dynamical properties, e.g., the density profile of the system.
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DOI: --
发表时间: 2023
期刊:
影响因子: --
作者:
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DOI: --
发表时间: 2015
期刊:
影响因子: --
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