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相关论文: Queuing Transitions in the Asymmetric Simple Exclu…

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In a recent study [C Arita and D Yanagisawa: J. Stat. Phys. 141, 829 (2010)] the stationary state of a parallel-update TASEP with varying system length, which can be regarded as a queueing process with excluded-volume effect (exclusive…

统计力学 · 物理学 2015-05-20 Chikashi Arita , Andreas Schadschneider

We demonstrate exciting similarities between classical and quantum many body systems whose microscopic dynamics are composed of non-reciprocal three-site facilitated exclusion processes. We show that the quantum analogue of the classical…

统计力学 · 物理学 2023-02-28 Amit Kumar Chatterjee , Adhip Agarwala

The asymmetric simple exclusion process (ASEP) is a paradigm for non-equilibrium physics that appears as a building block to model various low-dimensional transport phenomena, ranging from intracellular traffic to quantum dots. We review…

统计力学 · 物理学 2015-05-27 Kirone Mallick

In this paper computer simulation results of higher order density correlation for cellular automaton models of traffic flow are presented. The examinations show the jamming transition as a function of both the density and the magnitude of…

统计力学 · 物理学 2009-10-31 L. Neubert , H. Y. Lee , M. Schreckenberg

This paper studies the asymptotic behavior of the steady-state waiting time, W_infty, of the M/G/1 queue with subexponenential processing times for different combinations of traffic intensities and overflow levels. In particular, we provide…

概率论 · 数学 2011-03-22 Mariana Olvera-Cravioto , Peter W. Glynn

This article develops a stochastic differential equation (SDE) for modeling the temporal evolution of queue length dynamics at signalized intersections. Inspired by the observed quasiperiodic and self-similar characteristics of the queue…

系统与控制 · 电气工程与系统科学 2025-06-18 Shakib Mustavee , Shaurya Agarwal , Arvind Singh

We derive a monotonicity property for general, transient flows of a commodity transferred throughout a network, where the flow is characterized by density and mass flux dynamics on the edges with density continuity and mass balance…

最优化与控制 · 数学 2016-03-31 Anatoly Zlotnik , Sidhant Misra , Marc Vuffray , Michael Chertkov

We study in this paper a variation of the acclaimed CSMA random access protocol. We will focus on the case where back-off rates at each node is polynomial in the size of the queue. Under a condition relating the exponent in the polynomial…

概率论 · 数学 2021-06-08 Eyal Castiel

The transfer matrix and matrix multiplication ansatz, when applied to nonequilibrium steady states in asymmetric exclusion processed and traffic models, has given many exact results for phase diagrams, bulk densities and fluxes, as well as…

统计力学 · 物理学 2007-05-23 L. G. Tilstra , M. H. Ernst

We introduce the headway exclusion process which is an exclusion process with $N$ particles on the one-dimensional discrete torus with $L$ sites with jump rates that depend only on the distance to the next particle in the direction of the…

概率论 · 数学 2025-08-19 V. Belitsky , N. P. N. Ngoc , G. M. Schütz

We introduce and study a family of cooperative exclusion processes whose microscopic dynamics is governed by selective kinetic constraints. They display, in sharp contrast to the simple symmetric exclusion process, density profiles that can…

统计力学 · 物理学 2019-11-27 Mauro Sellitto

In this work, we propose an alternative stochastic model for the fundamental diagram of traffic flow with minimal number of parameters. Our approach is based on a mesoscopic viewpoint of the traffic system in terms of the dynamics of…

物理与社会 · 物理学 2016-02-23 Adriano Francisco Siqueira , Carlos Jose Todero Peixoto , Chen Wu , Wei-Liang Qian

We propose an extension of the totally asymmetric simple exclusion process (TASEP) in which particles hopping along a lattice can be blocked by obstacles that dynamically attach/detach from lattice sites. The model can be thought as TASEP…

统计力学 · 物理学 2019-02-20 Bartlomiej Waclaw , Justyna Cholewa-Waclaw , Philip Greulich

We investigate the dynamics of the asymmetric exclusion process at a junction. When two input roads are initially fully occupied and a single output road is initially empty, the ensuing rarefaction wave has a rich spatial structure. The…

统计力学 · 物理学 2019-05-31 K. Zhang , P. L. Krapivsky , S. Redner

Giving customers queue length information about a service system has the potential to influence the decision of a customer to join a queue. Thus, it is imperative for managers of queueing systems to understand how the information that they…

动力系统 · 数学 2021-08-11 Philip Doldo , Jamol Pender , Richard Rand

We simulate quasistatic flows of an ideal two-dimensional monodisperse foam around different obstacles, both symmetric and asymmetric, in a channel. We record both pressure and network contributions to the drag and lift forces, and study…

软凝聚态物质 · 物理学 2012-02-28 François Boulogne , Simon Cox

The Totally Asymmetric Simple Exclusion Process (TASEP) is a paradigm of out-of-equilibrium Statistical Physics that serves as a simplistic model for one-way vehicular traffic. Since traffic is perturbed by cars cruising for parking in many…

统计力学 · 物理学 2023-09-25 Valentin Anfray , Alexandre Nicolas

We study the duration of "high-flow states" in freeway traffic, defined as the time periods for which traffic flows exceed a given flow threshold. Our empirical data are surprisingly well represented by a power law. Moreover, the power law…

物理与社会 · 物理学 2008-07-24 Dirk Helbing , Benno Tilch

We consider the role of network geometry in two types of diffusion processes: transport of constant-density information packets with queuing on nodes, and constant voltage-driven tunneling of electrons. The underlying network is a…

统计力学 · 物理学 2010-10-05 Milovan Suvakov , Bosiljka Tadic

A system consisting of two parallel coupled channels where particles in one of them follow the rules of totally asymmetric exclusion processes (TASEP) and in another one move as in symmetric simple exclusion processes (SSEP) is investigated…

统计力学 · 物理学 2009-11-13 K. Tsekouras , A. B. Kolomeisky