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Motivated by interest in pedestrian traffic we study two lanes (one-dimensional lattices) of length $L$ that intersect at a single site. Each lane is modeled by a TASEP (Totally Asymmetric Exclusion Process). The particles enter and leave…

Statistical Mechanics · Physics 2017-09-20 C. Appert-Rolland , J. Cividini , H. J. Hilhorst

In this paper we show that a variety of interacting particle systems with multiple species can be viewed as random walks on Hecke algebras. This class of systems includes the asymmetric simple exclusion process (ASEP), M-exclusion TASEP,…

Probability · Mathematics 2020-03-06 Alexey Bufetov

The asymmetric simple exclusion process (ASEP) with periodic boundary conditions is investigated for shuffled dynamics. In this type of update, in each discrete timestep the particles are updated in a random sequence. Such an update is…

Statistical Mechanics · Physics 2015-06-25 Marko Woelki , Andreas Schadschneider , Michael Schreckenberg

We consider a model for the motion of an impurity interacting with two parallel, one-dimensional (bosonized) fermionic baths. The impurity is able to move along any of the baths, and to jump from one to the other. We provide a perturbative…

Quantum Gases · Physics 2025-07-03 Martino Stefanini , Massimo Capone , Alessandro Silva

We study the isotropic spin-$\frac{1}{2}$ Heisenberg chain with a single edge-coupled impurity of arbitrary exchange strength $J$. The model exhibits four impurity phases. For antiferromagnetic couplings ($J>0$): a \textit{Kondo phase} at…

Strongly Correlated Electrons · Physics 2025-08-28 Abay Zhakenov , Pradip Kattel , Natan Andrei

We investigate in-gap states emerging when a single $3d$ transition metal impurity is embedded in topological insulators (Bi$_2$Te$_3$ and Bi$_2$Se$_3$). We use a combined approach relying on first-principles calculations and an Anderson…

Materials Science · Physics 2018-07-25 Juba Bouaziz , Manuel dos Santos Dias , Julen Ibañez-Azpiroz , Samir Lounis

We analyze the effect of impurity on the work output and efficiency of quantum Otto and quantum Carnot heat cycles, modeled as a single quantum particle in an infinite square well (ISW) potential, which is the working substance. We solve…

Quantum Physics · Physics 2022-11-08 Aditya Prakash , Abhishek Kumar , Colin Benjamin

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

Mathematical Physics · Physics 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

We investigate the effect of a time-reversal breaking impurity term on both the equilibrium and non-equilibrium critical properties of entanglement entropy (EE) in a three-spin interacting transverse Ising model which can be mapped to a…

Statistical Mechanics · Physics 2018-04-24 Tanay Nag , Atanu Rajak

We consider the totally asymmetric simple exclusion process (TASEP) in discrete time with the sublattice parallel dynamics describing particles moving to the right on the one-dimensional infinite chain with equal hoping probabilities. Using…

Statistical Mechanics · Physics 2010-07-19 S. S. Poghosyan , V. B. Priezzhev , G. M. Schütz

The electrophoretic motion of a conducting particle, driven by an induced charge mechanism, is analyzed. The dependence of the motion upon particle shape is embodied in four tensorial coefficients that relate the particle velocities to the…

Fluid Dynamics · Physics 2007-05-23 Ehud Yariv

We present a detailed theoretical study on the thermodynamic properties of impure quasi-one dimensional unconventional charge-, and spin-density waves in the framework of mean-field theory. The impurities are of the ordinary non-magnetic…

Strongly Correlated Electrons · Physics 2009-11-11 Andras Vanyolos , Balazs Dora , Kazumi Maki , Attila Virosztek

We consider a mobile impurity immersed in a Bose gas at finite temperature. Using perturbation theory valid for weak coupling between the impurity and the bosons, we derive analytical results for the energy and damping of the impurity for…

We explore the stationary densities and domain walls in the steady states of a pair of asymmetric exclusion processes (TASEP) antiparallelly coupled to two particle reservoirs without any spatial extent by using the model in Haldar et al.,…

Statistical Mechanics · Physics 2026-02-13 Sourav Pal , Parna Roy , Abhik Basu

We overview the main features of mobile impurities moving in one-dimensional superfluid backgrounds by modeling it as a mobile Josephson junction, which leads naturally to the periodic dispersion of the impurity. The dissipation processes,…

Quantum Gases · Physics 2016-06-06 Michael Schecter , Dimitri M. Gangardt , Alex Kamenev

Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand generic features…

Statistical Mechanics · Physics 2019-11-20 Dominik Lips , Artem Ryabov , Philipp Maass

We study a system of ultra cold dipolar Bose gas atoms confined in a two-dimensional (2D) harmonic trap with a dipolar impurity implanted at the center of the trap. Due to recent experimental progress in dipolar condensates, we focused on…

Quantum Gases · Physics 2025-04-10 Neelam Shukla , Jeremy R Armstrong

We study finite size effects in the variance of the displacement of a tagged particle in the stationary state of the Asymmetric Simple Exclusion Process (ASEP) on a ring of size $L$. The process involves hard core particles undergoing…

Statistical Mechanics · Physics 2009-11-13 Shamik Gupta , Satya N. Majumdar , Claude Godrèche , Mustansir Barma

The one-dimensional free Fermi gas is a prototype conformally invariant system, whose entanglement properties are well-understood. In this work, the effects of a single impurity on one dimensional free fermion entanglement entropy are…

Strongly Correlated Electrons · Physics 2015-03-17 Mohammad Pouranvari , Kun Yang , Alexander Seidel

We give an exact expression for the distribution of the position X(t) of a single second class particle in the asymmetric simple exclusion process (ASEP) where initially the second class particle is located at the origin and the first class…

Probability · Mathematics 2009-10-06 Craig A. Tracy , Harold Widom
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