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A century after Ising introduced the Ising measure to study equilibrium systems, its relevance has expanded well beyond equilibrium contexts, notably appearing in non-equilibrium frameworks such as the Katz--Lebowitz--Spohn (KLS) model. In…

Statistical Mechanics · Physics 2025-11-18 Ngo Phuoc Nguyen Ngoc , Lam Thi Nhung

The weakly asymmetric exclusion process (WASEP) in one dimension is a paradigmatic system of interacting particles described by the macroscopic fluctuation theory (MFT) in the presence of driving. We consider an initial condition with…

Statistical Mechanics · Physics 2025-05-20 Alexandre Krajenbrink , Pierre Le Doussal

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…

Statistical Mechanics · Physics 2016-08-31 V. Karimipour

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

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

We investigate the asymmetric simple exclusion process (ASEP) on an interval with open boundaries. We provide a representation for its stationary distribution as a marginal of the top layer of a two-layer ensemble under Liggett's condition.…

Probability · Mathematics 2025-02-10 Wlodek Bryc

We revisit a totally asymmetric simple exclusion process (TASEP) with open boundaries and a global constraint on the total number of particles [Adams, et. al. 2008 J. Stat. Mech. P06009]. In this model, the entry rate of particles into the…

Statistical Mechanics · Physics 2009-08-30 L. Jonathan Cook , R. K. P. Zia

The process of protein synthesis in biological systems resembles a one dimensional driven lattice gas in which the particles have spatial extent, covering more than one lattice site. We expand the well studied Totally Asymmetric Exclusion…

Statistical Mechanics · Physics 2009-11-10 Leah B. Shaw , R. K. P. Zia , Kelvin H. Lee

The asymmetric simple exclusion process (ASEP) on a one-dimensional lattice is a system of particles which jump at rates $p$ and $1-p$ (here $p>1/2$) to adjacent empty sites on their right and left respectively. The system is described on…

Condensed Matter · Physics 2009-10-30 B. Derrida , J. L. Lebowitz , E. R. Speer

Smooth transportation has drawn the attention of many researchers and practitioners in several fields. In the present paper, we propose a modified model of a totally asymmetric simple exclusion process (TASEP), which includes multiple…

Cellular Automata and Lattice Gases · Physics 2019-10-16 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari

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…

Statistical Mechanics · Physics 2009-11-13 K. Tsekouras , A. B. Kolomeisky

We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo…

Statistical Mechanics · Physics 2011-05-06 George L. Daquila , Uwe C. Tauber

A binary lattice gas model that allows for multiple occupancy of lattice sites, inspired by recent coarse-grained descriptions of solutions of interacting polymers, is investigated by combining the steepest descent approximation with an…

Soft Condensed Matter · Physics 2007-05-23 Reimar Finken , Jean-Pierre Hansen , Ard Louis

The totally asymmetric simple exclusion process (TASEP) is a paradigmatic lattice model for one-dimensional particle transport subject to excluded-volume interactions. Solving the inhomogeneous TASEP in which particles' hopping rates vary…

Statistical Mechanics · Physics 2023-10-31 Luca Ciandrini , Richmond L. Crisostomo , Juraj Szavits-Nossan

The one-dimensional totally asymmetric simple exclusion process (TASEP), a Markov process describing classical hard-core particles hopping in the same direction, is considered on a periodic lattice of $L$ sites. The relaxation to the…

Statistical Mechanics · Physics 2016-03-09 Sylvain Prolhac

Integrated Sensing and Communication (ISAC) is a key emerging 6G technology. Despite progress, ISAC still lacks scalable methods for joint AP clustering and user/target scheduling in distributed deployments under fronthaul limits. Moreover,…

Signal Processing · Electrical Eng. & Systems 2026-02-19 Mehdi Zafari , A. Lee Swindlehurst

Considering the large deviations of activity and current in the Asymmetric Simple Exclusion Process (ASEP), we show that there exists a non-trivial correspondence between the joint scaled cumulant generating functions of activity and…

Statistical Mechanics · Physics 2022-08-31 Matthieu Vanicat , Eric Bertin , Vivien Lecomte , Eric Ragoucy

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

We present a new method of learning a continuous occupancy field for use in robot navigation. Occupancy grid maps, or variants of, are possibly the most widely used and accepted method of building a map of a robot's environment. Various…

Robotics · Computer Science 2019-10-21 Nicholas O'Dell , Christopher Renton , Adrian Wills

A totally asymmetric exclusion process on a ring with $\nu$ non-conserved internal degrees of freedom, where particles hop forward with a rate that depends on their internal state, has been studied. We show, using a mapping of the model to…

Statistical Mechanics · Physics 2010-11-16 Urna Basu , P. K. Mohanty