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The asymmetric simple exclusion process (ASEP) is a paradigmatic nonequilibrium many-body system that describes the asymmetric random walk of particles with exclusion interactions in a lattice. Although the ASEP is recognized as an exactly…

统计力学 · 物理学 2024-03-05 Yuki Ishiguro , Jun Sato

A multi-species generalization of the asymmetric simple exclusion process (ASEP) is studied in ordered sequential and sub-lattice parallel updating schemes. In this model particles hop with their own specific probabilities to their…

统计力学 · 物理学 2009-10-31 M. E. Fouladvand , F. Jafarpour

The asymmetric exclusion process (ASEP) has attracted a lot of interest not only because its many applications, e.g. in the context of the kinetics of biopolymerization and traffic flow theory, but also because it is a paradigmatic model…

统计力学 · 物理学 2007-05-23 N. Rajewsky , L. Santen , A. Schadschneider , M. Schreckenberg

In this paper it is shown that the steady-state weights of the asymmetric simple exclusion process (ASEP) with open boundaries and parallel update can be written as a product of a scalar pair-factorized and a matrix-product state. This type…

统计力学 · 物理学 2015-05-13 Marko Woelki , Michael Schreckenberg

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 study the one-dimensional asymmetric simple exclusion process (ASEP) with open boundary conditions. Particles are injected and ejected at both boundaries. It is clarified that the steady state of the model is intimately related to the…

统计力学 · 物理学 2009-11-10 Masaru Uchiyama , Tomohiro Sasamoto , Miki Wadati

We consider the asymmetric simple exclusion process (ASEP) on a semi-infinite chain which is coupled at the end to a reservoir with a particle density that changes periodically in time. It is shown that the density profile assumes a…

统计力学 · 物理学 2009-11-13 Vladislav Popkov , Mario Salerno , Gunter M. Schutz

The asymmetric simple exclusion process (ASEP) is a paradigmatic driven-diffusive system that describes the asymmetric diffusion of particles with hardcore interactions in a lattice. Although the ASEP is known as an exactly solvable model,…

统计力学 · 物理学 2024-05-16 Yuki Ishiguro , Jun Sato

We formulate and analyze the steady-state behavior of totally asymmetric simple exclusion processes (TASEPs) that contain periodically varying movement rates. In our models, particles at a majority sites hop to the right with rate $p_1$…

统计力学 · 物理学 2007-05-23 Greg Lakatos , Tom Chou , Anatoly Kolomeisky

We introduce a new rule of motion for a totally asymmetric exclusion process (TASEP) representing pedestrian traffic on a lattice. Its characteristic feature is that the positions of the pedestrians, modeled as hard-core particles, are…

统计力学 · 物理学 2017-09-20 C. Appert-Rolland , J. Cividini , H. J. Hilhorst

A one dimensional disordered particle hopping rate asymmetric exclusion process (ASEP) with open boundaries and a random sequential dynamics is studied analytically. Combining the exact results of the steady states in the pure case with a…

统计力学 · 物理学 2009-11-13 M. Loulidi

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

We consider the one-dimensional totally asymmetric simple exclusion process (TASEP) with position-dependent hopping rates. The problem is solved,in a mean field/adiabatic approximation, for a general (smooth) form of spatial rate variation.…

统计力学 · 物理学 2011-06-15 R. B. Stinchcombe , S. L. A. de Queiroz

We consider the asymmetric simple exclusion process (ASEP) on $\mathbb{Z}$. For continuous densities, ASEP is in local equilibrium for large times, at discontinuities however, one expects to see a dynamical phase transition, i.e. a mixture…

概率论 · 数学 2021-05-05 Peter Nejjar

We study the fluctuation properties of the asymmetric simple exclusion process (ASEP) on an infinite one-dimensional lattice. When $N$ particles are initially situated in the negative region with a uniform density $\rho_-=1$, Johansson…

统计力学 · 物理学 2009-11-10 Taro Nagao , Tomohiro Sasamoto

By generalizing the algebra of operators of the Asymmetric Simple Exclusion Process (ASEP), a multi-species ASEP in which particles can overtake each other,is defined on both open and closed one dimensional chains. On the ring the steady…

凝聚态物理 · 物理学 2009-10-31 V. karimipour

Non-equilibrium systems are often characterized by the transport of some quantity at a macroscopic scale, such as, for instance, a current of particles through a wire. The Asymmetric Simple Exclusion Process (ASEP) is a paradigm for…

统计力学 · 物理学 2013-05-30 Mieke Gorissen , Alexandre Lazarescu , Kirone Mallick , Carlo Vanderzande

The exact stationary state of an asymmetric exclusion process with fully parallel dynamics is obtained using the matrix product Ansatz. We give a simple derivation for the deterministic case by a physical interpretation of the dimension of…

统计力学 · 物理学 2011-11-29 Jan de Gier , Bernard Nienhuis

The asymmetric simple exclusion process (ASEP) is a model of particle transport used in the study of biological processes such as mRNA translation. In 2014, Zhao and Krishnan introduced a new approach for analyzing the ASEP using…

计算机科学中的逻辑 · 计算机科学 2021-09-07 Ken Joffaniel Gonzales

We introduce a multi-species generalization of the asymmetric simple exclusion process (ASEP) with a ``no-passing" constraint, forbidding overtaking, on a one-dimensional open chain. This no-passing rule fragments the Hilbert space into an…

统计力学 · 物理学 2025-04-25 Urei Miura
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