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We study asymmetric exclusion processes (TASEP) on a nonuniform one-dimensional ring consisting of two segments having unequal hopping rates, or {\em defects}. We allow weak particle nonconservation via Langmuir kinetics (LK), that are…

统计力学 · 物理学 2017-01-12 Bijoy Daga , Souvik Mondal , Anjan Kumar Chandra , Tirthankar Banerjee , Abhik Basu

We study the nonequilibrium steady states in totally asymmetric exclusion processes (TASEP) with open boundary conditions having spatially inhomogeneous hopping rates. Considering smoothly varying hopping rates, we show that the steady…

统计力学 · 物理学 2023-01-03 Atri Goswami , Mainak Chatterjee , Sudip Mukherjee

Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion…

统计力学 · 物理学 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

We construct a one-dimensional totally asymmetric simple exclusion process (TASEP) on a ring with two segments having unequal hopping rates, coupled to particle non-conserving Langmuir kinetics (LK) characterized by equal attachment and…

统计力学 · 物理学 2015-08-19 Tirthankar Banerjee , Anjan Kumar Chandra , Abhik Basu

Asymmetric exclusion process (TASEP) along a one-dimensional (1D) open channel sets the paradigm for 1D driven models and nonequilibrium phase transitions in open 1D models. Inspired by the phenomenologies of an open TASEP with Langmuir…

统计力学 · 物理学 2026-02-10 Sourav Pal , Abhik Basu

We investigate the non-equilibrium steady state of a one-dimensional (1D) lattice gas of dimers. The dynamics is described by a totally asymmetric exclusion process (TASEP) supplemented by attachment and detachment processes, mimicking…

统计力学 · 物理学 2007-05-23 P. Pierobon , T. Franosch , E. Frey

We explore how the interplay of finite availability, carrying capacity of particles at different parts of a spatially extended system and particle diffusion between them control the steady state currents and density profiles in a…

统计力学 · 物理学 2024-12-04 Sourav Pal , Parna Roy , Abhik Basu

We study an open system composed of two parallel totally asymmetric simple exclusion processes with particle attachment and detachment in the bulk. The particles are allowed to change their lane from lane-A to lane-B, but not conversely. We…

统计力学 · 物理学 2015-06-17 Arvind Kumar Gupta , Isha Dhiman

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

We consider the dynamics of a single shock in a partially asymmetric simple exclusion process (PASEP) on a finite lattice with open boundaries in the sublattice-parallel updating scheme. We then construct the steady state of the system by…

统计力学 · 物理学 2016-05-16 S. R. Masharian , F. Zamani

We introduce the totally asymmetric exclusion process with Langmuir kinetics (TASEP-LK) on a network as a microscopic model for active motor protein transport on the cytoskeleton, immersed in the diffusive cytoplasm. We discuss how the…

统计力学 · 物理学 2013-03-01 I. Neri , N. Kern , A. Parmeggiani

We propose and study a conceptual one-dimensional model to explore how the combined interplay between fixed resources and particle exchanges between different parts of an extended system can affect the stationary densities in a current…

统计力学 · 物理学 2025-02-10 Sourav Pal , Parna Roy , Abhik Basu

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

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 explore the stationary densities in totally asymmetric exclusion processes (TASEP) with open boundary conditions and spatially inhomogeneous hopping rates. We calculate the steady state density profiles that characterise the associated…

统计力学 · 物理学 2024-10-31 Sudip Mukherjee , Abhik basu

Motor protein motion on biopolymers can be described by models related to the totally asymmetric simple exclusion process (TASEP). Inspired by experiments on the motion of kinesin-4 motors on antiparallel microtubule overlaps, we analyze a…

生物物理 · 物理学 2016-09-07 Hui-Shun Kuan , Meredith D. Betterton

We investigate the simple one-dimensional driven model, the totally asymmetric exclusion process, coupled to mutually interactive Langmuir kinetics. This model is motivated by recent studies on clustering of motor proteins on microtubules.…

生物物理 · 物理学 2015-06-23 H. D. Vuijk , R. Rens , M. Vahabi , F. C. MacKintosh , A. Sharma

We study the nonequilibrium steady states of an asymmetric exclusion process (TASEP) coupled to a reservoir of unlimited capacity. We elucidate how the steady states are controlled by the interplay between the reservoir population that…

统计力学 · 物理学 2021-09-15 Astik Haldar , Parna Roy , Abhik Basu

We analyze the dynamical phases of the current-biased 1D and multi-lane open asymmetric simple exclusion processes (ASEP), using matrix product states and the density matrix renormalization group (DMRG) algorithm. In the 1D ASEP, we present…

统计力学 · 物理学 2019-08-07 Phillip Helms , Ushnish Ray , Garnet Kin-Lic Chan

The steady-state currents and densities of a one-dimensional totally asymmetric exclusion process (TASEP) with particles that occlude an integer number ($d$) of lattice sites are computed using various mean field approximations and Monte…

统计力学 · 物理学 2007-05-23 G. W. Lakatos , T. Chou
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