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

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We study the large space and time scale behavior of a totally asymmetric, nearest-neighbor exclusion process in one dimension with random jump rates attached to the particles. When slow particles are sufficiently rare the system has a phase…

概率论 · 数学 2007-05-23 Ilie Grigorescu , Min Kang , Timo Seppalainen

The asymmetric exclusion process is an idealised stochastic model of transport, whose exact solution has given important insight into a general theory of nonequilibrium statistical physics. In this work, we consider a totally asymmetric…

统计力学 · 物理学 2018-06-25 Arvind Ayyer , Dipankar Roy

Using the matrix product formalism we formulate a natural p-species generalization of the asymmetric simple exclusion process. In this model particles hop with their own specific rate and fast particles can overtake slow ones with a rate…

统计力学 · 物理学 2016-08-31 V. Karimipour

In a recent study [C Arita, Phys. Rev. E 80, 051119 (2009)], an extension of the M/M/1 queueing process with the excluded-volume effect as in the totally asymmetric simple exclusion process (TASEP) was introduced. In this paper, we consider…

物理与社会 · 物理学 2014-09-18 Chikashi Arita , Daichi Yanagisawa

We give a recursive construction of the stationary distribution of multi-type asymmetric simple exclusion processes on a finite ring or on the infinite line $Z$. The construction can be interpreted in terms of "multi-line diagrams" or…

概率论 · 数学 2020-03-10 James B. Martin

This paper proposes a totally asymmetric simple exclusion process on a traveling lane, which is equipped with a queueing system and functions of site assignments along the parking lane. In the proposed system, new particles arrive at the…

元胞自动机与格子气 · 物理学 2018-10-10 Satori Tsuzuki , Daichi Yanagisawa , Katsuhiro Nishinari

We study the dynamical evolution toward steady state of the stochastic non-equilibrium model known as totally asymmetric simple exclusion process, in both uniform and non-uniform (staggered) one-dimensional systems with open boundaries.…

统计力学 · 物理学 2016-07-13 R. B. Stinchcombe , S. L. A. de Queiroz

Packet traffic in complex networks undergoes the jamming transition from free-flow to congested state as the number of packets in the system increases. Here we study such jamming transition when queues are operated by the priority queuing…

其他凝聚态物理 · 物理学 2015-05-13 K. Kim , B. Kahng , D. Kim

We study a one-dimensional totally asymmetric simple exclusion process with one special site from which particles fly to any empty site (not just to the neighboring site). The system attains a non-trivial stationary state with density…

统计力学 · 物理学 2013-10-15 Chikashi Arita , Jérémie Bouttier , P. L. Krapivsky , Kirone Mallick

One-dimensional asymmetric simple exclusion processes (ASEPs) which are coupled to external reservoirs via diffusive transport are studied. These ASEPs consist of active compartments characterized by directed movements of the particles and…

统计力学 · 物理学 2007-05-23 Stefan Klumpp , Reinhard Lipowsky

We investigate a rich new class of exactly solvable particle systems generalizing the Totally Asymmetric Simple Exclusion Process (TASEP). Our particle systems can be thought of as new exactly solvable examples of tandem queues, directed…

概率论 · 数学 2020-01-08 Alisa Knizel , Leonid Petrov , Axel Saenz

We introduce a model for stochastic transport on a one-dimensional substrate with particles assuming different conformations during their stepping cycles. These conformations correspond to different footprints on the substrate: in order to…

统计力学 · 物理学 2019-06-26 Yvan Rousset , Luca Ciandrini , Norbert Kern

Asymmetric exclusion processes for particles moving on parallel channels with inhomogeneous coupling are investigated theoretically. Particles interact with hard-core exclusion and move in the same direction on both lattices, while…

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

As a solvable and broadly applicable model system, the totally asymmetric exclusion process enjoys iconic status in the theory of non-equilibrium phase transitions. Here, we focus on the time dependence of the total number of particles on a…

统计力学 · 物理学 2009-11-13 D. A. Adams , R. K. P Zia , B. Schmittmann

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

统计力学 · 物理学 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

The one-dimensional partially asymmetric simple exclusion process with open boundaries is considered. The stationary state, which is known to be constructed in a matrix product form, is studied by applying the theory of q-orthogonal…

统计力学 · 物理学 2007-05-23 Tomohiro Sasamoto

We consider the asymmetric simple exclusion processes (ASEP) on a ring constrained to produce an atypically large flux, or an extreme activity. Using quantum free fermion techniques we find the time-dependent conditional transition…

统计力学 · 物理学 2015-05-20 V. Popkov , G. M. Schütz

A numerical method based on Matrix Product Formalism is proposed to study the phase transitions and shock formation in the Asymmetric Simple Exclusion Process with open boundaries and parallel dynamics. By working in a canonical ensemble,…

统计力学 · 物理学 2015-06-24 Farhad H. Jafarpour

Interaction between vehicles and pedestrians is seen in many areas such as crosswalks and intersections. In this paper, we study a totally asymmetric simple exclusion process with a bottleneck at a boundary caused by an interaction. Due to…

物理与社会 · 物理学 2015-06-19 Hidetaka Ito , Katsuhiro Nishinari

We use a one dimensional symmetric exclusion model to study pressure and osmosis driven flows through molecular-sized channels, such as biological membrane channels and zeolite pores. Analytic expressions are found for the steady-state flow…

软凝聚态物质 · 物理学 2008-02-03 Tom Chou