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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…

Statistical Mechanics · Physics 2015-05-20 V. Popkov , G. M. Schütz

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…

Statistical Mechanics · Physics 2015-05-27 Kirone Mallick

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…

Condensed Matter · Physics 2009-10-31 V. karimipour

We study the steady state of the two-species Asymmetric Simple Exclusion Process (ASEP) with open boundary conditions. The matrix product method works for the determination of the stationary probability distribution. Several physical…

Statistical Mechanics · Physics 2007-05-23 Masaru Uchiyama

The asymmetric simple exclusion exclusion process (ASEP) is a model of particles hopping on a one-dimensional lattice of n sites. It was introduced around 1970, and since then has been extensively studied by researchers in statistical…

Combinatorics · Mathematics 2020-01-15 Sylvie Corteel , Olya Mandelshtam , Lauren Williams

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…

Statistical Mechanics · Physics 2009-11-10 Masaru Uchiyama , Tomohiro Sasamoto , Miki Wadati

As the simplest model of transport of interacting particles in a disordered medium, we consider the asymmetric simple exclusion process (ASEP) in which particles with hard-core interactions perform biased random walks, on the supercritical…

Statistical Mechanics · Physics 2024-12-16 Chandrashekar Iyer , Mustansir Barma , Hunnervir Singh , Deepak Dhar

A multi-species generalization of the Asymmetric Simple Exclusion Process (ASEP) has been considered in the presence of a single impurity on a ring. The model describes particles hopping in one direction with stochastic dynamics and hard…

Statistical Mechanics · Physics 2009-11-07 Farhad H Jafarpour

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…

Statistical Mechanics · Physics 2009-10-31 M. E. Fouladvand , F. Jafarpour

The Symmetric Exclusion Process (SEP), in which particles hop symmetrically on a discrete line with hard-core constraints, is a paradigmatic model of subdiffusion in confined systems. This anomalous behavior is a direct consequence of…

Statistical Mechanics · Physics 2018-06-13 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin

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…

Statistical Mechanics · Physics 2009-11-10 Taro Nagao , Tomohiro Sasamoto

We consider from a microscopic perspective large deviation properties of several stochastic interacting particle systems, using their mapping to integrable quantum spin systems. A brief review of recent work is given and several new results…

Statistical Mechanics · Physics 2015-10-19 Gunter M. Schütz

The asymmetric simple exclusion process (ASEP) is an important model from statistical physics describing particles that hop randomly from one site to the next along an ordered lattice of sites, but only if the next site is empty. ASEP has…

Quantitative Methods · Quantitative Biology 2015-08-18 Alon Raveh , Yoram Zarai , Michael Margaliot , Tamir Tuller

We investigate a balance network of the asymmetric simple exclusion process (ASEP). Subsystems consisting of ASEPs are connected by bidirectional links with each other, which results in balance between every pair of subsystems. The network…

Statistical Mechanics · Physics 2013-02-18 Takahiro Ezaki , Katsuhiro Nishinari

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…

Statistical Mechanics · Physics 2009-11-13 Vladislav Popkov , Mario Salerno , Gunter M. Schutz

In non-equilibrium statistical mechanics, the Asymmetric Simple Exclusion Process (ASEP) serves as a paradigmatic example. We investigate the spectral characteristics of the ASEP, focusing on the spectral boundary of its generator matrix.…

Statistical Mechanics · Physics 2024-02-02 Goran Nakerst , Tomaž Prosen , Masudul Haque

We propose a misanthrope process, defined on a ring, which realizes the totally asymmetric simple exclusion process with open boundaries. In the misanthrope process, particles have no exclusion interactions in contrast to those in the…

Statistical Mechanics · Physics 2015-06-19 Masahiro Kanai

We consider the asymmetric exclusion process (ASEP) in one dimension on sites $i = 1,..., N$, in contact at sites $i=1$ and $i=N$ with infinite particle reservoirs at densities $\rho_a$ and $\rho_b$. As $\rho_a$ and $\rho_b$ are varied, the…

Statistical Mechanics · Physics 2007-05-23 B. Derrida , J. L. Lebowitz , E. R. Speer

The one-dimensional asymmetric simple exclusion process (ASEP), where $N$ hard-core particles hop forward with rate $1$ and backward with rate $q<1$, is considered on a periodic lattice of $L$ site. Using KPZ universality and previous…

Statistical Mechanics · Physics 2016-10-19 Sylvain Prolhac

In the asymmetric simple exclusion process on the integers each particle waits exponential time, then with probability p it moves one step to the right if the site is unoccupied, otherwise it stays put; and with probability q=1-p it moves…

Probability · Mathematics 2013-02-18 Craig A. Tracy , Harold Widom
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