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We study here one-dimensional model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) on open chains. Isolated…

Statistical Mechanics · Physics 2019-09-04 N. Zh. Bunzarova , N. C. Pesheva , J. G. Brankov

Aims. We investigated the transport of solar energetic particles (SEPs) during the relativistic widespread event of 28 October 2021, quantifying the role of parallel and perpendicular diffusion and constraining the spatial extent of the…

Solar and Stellar Astrophysics · Physics 2026-03-11 E. Lavasa , J. T. Lang , A. Papaioannou , R. D. Strauss , S. A. Mallios , A. Hillaris , A. Kouloumvakos , A. Anastasiadis , I. A. Daglis

In this short note, we review a recently developed method for analysing multi-component driven diffusive systems with open boundaries. The approach generalises the extremal-current principle known for single-component models and is based on…

Mathematical Physics · Physics 2025-12-12 Ali Zahra

We develop a power series method for the nonequilibrium steady state of the inhomogeneous one-dimensional totally asymmetric simple exclusion process (TASEP) in contact with two particle reservoirs and with site-dependent hopping rates in…

Statistical Mechanics · Physics 2018-05-31 Juraj Szavits-Nossan , M. Carmen Romano , Luca Ciandrini

We propose and study a one-dimensional (1D) model consisting of two lanes with open boundaries. One of the lanes executes diffusive and the other lane driven unidirectional or asymmetric exclusion dynamics, which are mutually coupled…

Statistical Mechanics · Physics 2023-11-27 Atri Goswami , Utsa Dey , Sudip Mukherjee

A single confined spin interacting with a solid-state environment has emerged as one of the fundamental paradigms of mesoscopic physics. In contrast to standard quantum optical systems, decoherence that stems from these interactions can in…

Strongly Correlated Electrons · Physics 2009-07-23 Hakan E. Türeci , M. Hanl , M. Claassen , A. Weichselbaum , T. Hecht , B. Braunecker , A. Govorov , L. Glazman , J. von Delft , A. Imamoglu

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…

Statistical Mechanics · Physics 2007-05-23 P. Pierobon , T. Franosch , E. Frey

We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate $p\in(1/2,1]$ and to the left at rate $1-p$, interacting by exclusion. In the initial state there is a finite region…

Probability · Mathematics 2008-08-20 Pablo A. Ferrari , Patricia Goncalves , James B. Martin

We consider one-dimensional asymmetric exclusion processes with a simple attractive interaction, where the distance between consecutive particles is not allowed to exceed a certain limit and investigate the consequences of this coupling on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Róbert Juhász

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

Asymmetric exclusion processes for particles moving on parallel channels with inhomogeneous coupling are investigated theoretically. Particles interact with hard-core exclusion and move in the same direction on both lattices, while…

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

Experimental searches for the electron electric dipole moment (EDM) probe new physics beyond the Standard Model. The current best EDM limit was set by the ACME Collaboration [Science \textbf{343}, 269 (2014)], constraining time reversal…

In this paper, we propose and validate a two-species Multiscale model for a Poisson-Nernst-Planck (PNP) system, focusing on the correlated motion of positive and negative ions under the influence of a trap. Specifically, we aim to model…

Numerical Analysis · Mathematics 2026-04-28 Clarissa Astuto , Giovanni Russo

Accurately quantifying the energy loss rate of proton beams in liquid water is crucial for the precise application and improvement of proton therapy, whereas the slowing down of proton in water ices also plays an important role in…

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume…

Mathematical Physics · Physics 2023-10-31 James Mason , Clement Erignoux , Robert Jack , Maria Bruna

Assuming that in Au+Au collisions, a baryon free fluid is produced, transverse momentum spectra of identified particles ($\pi$, $K$, $p$ and $\phi$), in evolution of ideal and viscous fluid is studied. Hydrodynamic evolution is governed by…

Nuclear Theory · Physics 2010-03-08 Victor Roy , A. K. Chaudhuri

We present mesoscopic simulations of the counterion-induced electroosmotic flow in different electrostatic coupling regimes. Two simulation methods are compared, Dissipative Particle Dynamics (DPD) and coupled Lattice-Boltzmann/Molecular…

Other Condensed Matter · Physics 2011-03-03 Jens Smiatek , Marcello Sega , Christian Holm , Ulf D. Schiller , Friederike Schmid

In the multi-type totally asymmetric simple exclusion process (TASEP) on the line, each site of Z is occupied by a particle labeled with some number, and two neighboring particles are interchanged at rate one if their labels are in…

Probability · Mathematics 2012-11-16 Gideon Amir , Omer Angel , Benedek Valkó

The process of protons transport in molecular water chains is of fundamental interest for many biological systems. Although many features of such systems can be analyzed using large-scale computational modeling, other features are better…

Biological Physics · Physics 2011-08-23 Artem Korzhimanov , Mattias Marklund , Tatiana Shutova , Goran Samuelsson

A method for Monte Carlo simulation of 2D spin-polarized electron transport in III-V semiconductor heterojunction FETs is presented. In the simulation, the dynamics of the electrons in coordinate and momentum space is treated…

Condensed Matter · Physics 2010-10-12 Min Shen , Semion Saikin , Ming-C. Cheng , Vladimir Privman