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We examine the entropy of non-equilibrium stationary states of boundary driven totally asymmetric simple exclusion processes. As a consequence, we obtain that the Gibbs-Shannon entropy of the non equilibrium stationary state converges to…

Probability · Mathematics 2015-06-15 Cédric Bernardin , Patrícia Gonçalves , Claudio Landim

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…

Statistical Mechanics · Physics 2017-01-12 Bijoy Daga , Souvik Mondal , Anjan Kumar Chandra , Tirthankar Banerjee , Abhik Basu

The Asymmetric Simple Exclusion Process is one of the most extensively studied models in non-equilibrium statistical mechanics. The macroscopic particle current produced in its steady state is directly related to the breaking of detailed…

Statistical Mechanics · Physics 2013-06-12 Alexandre Lazarescu

We study the traffic of two types of molecular motors using the two-species symmetric simple exclusion process (ASEP) with periodic boundary conditions and with attachment and detachment of particles. We determine characteristic properties…

Biological Physics · Physics 2009-11-26 Yan Chai , Stefan Klumpp , Melanie J. I. Muller , Reinhard Lipowsky

The symmetric simple exclusion process (SEP) is a paradigmatic model of diffusion in a single-file geometry, in which the particles cannot cross. In this model, the study of currents have attracted a lot of attention. In particular, the…

Statistical Mechanics · Physics 2024-02-09 Aurélien Grabsch , Pierre Rizkallah , Olivier Bénichou

We use a new approach to derive dielectric mixing rules for macroscopically homogeneous and isotropic multicomponent mixtures of anisotropic inhomogeneous dielectric particles. Two factors of anisotropy are taken into account, the shape of…

Materials Science · Physics 2015-05-13 M. Ya. Sushko

We describe the translation invariant stationary states of the one dimensional discrete-time facilitated totally asymmetric simple exclusion process (F-TASEP). In this system a particle at site $j$ in $Z$ jumps, at integer times, to site…

Mathematical Physics · Physics 2020-06-18 S. Goldstein , J. L. Lebowitz , E. R. Speer

We revisit the defect-induced nonequilibrium phase transition from a largely homogeneous free-flow phase to a phase-separated congested phase in the sublattice totally asymmetric simple exclusion process (TASEP) with local deterministic…

Statistical Mechanics · Physics 2023-06-27 Gunter M. Schütz

The Any Light Particle Search II (ALPS II) experiment (DESY, Hamburg) searches for photon oscillations into Weakly Interacting Sub-eV Particles (WISPs). This second generation of the ALPS light-shining-through-a-wall (LSW) experiment…

Instrumentation and Detectors · Physics 2019-08-13 Noemie Bastidon

We discuss the approximate phenomenological description of the motion of a single second-class particle in a two-species totally asymmetric simple exclusion process (TASEP) on a 1D lattice. Initially, the second class particle is located at…

Statistical Mechanics · Physics 2020-01-29 Aanjaneya Kumar , Deepak Dhar

Bidirectional transport in (quasi) one-dimensional systems generically leads to cluster-formation and small particle currents. This kind of transport can be described by the asymmetric simple exclusion process (ASEP) with two species of…

Cellular Automata and Lattice Gases · Physics 2020-04-22 Robin Jose , Chikashi Arita , Ludger Santen

We study the long time asymptotics of the relaxation dynamics of the totally asymmetric simple exclusion process on a ring. Evaluating the asymptotic amplitudes of the local currents by the algebraic Bethe ansatz method, we find the…

Statistical Mechanics · Physics 2012-11-01 Kohei Motegi , Kazumitsu Sakai , Jun Sato

We consider the asymmetric simple exclusion process on $\mathbb{Z}$ with a single second class particle initially at the origin. The first class particles form two rarefaction fans which come together at the origin, where the large time…

Probability · Mathematics 2020-06-24 Peter Nejjar

We propose a fixed-target experiment to search for Axion-like particles (ALPs) coupling to photons, which utilizes electron and positron beams available at KEK Linac. The sensitivity to ALP is evaluated for two shielding setups in…

High Energy Physics - Phenomenology · Physics 2021-08-11 Akimasa Ishikawa , Yasuhito Sakaki , Yosuke Takubo

We consider the asymmetric simple exclusion process (ASEP) on the one-dimensional finite lattice $\{1,2,\ldots,N\}$. The particles can be created/annihilated at the boundaries with given rates. These rates are $L^\infty$ functions of time…

Probability · Mathematics 2024-08-27 Lu Xu

We review various combinatorial interpretations and mappings of stationary-state probabilities of the totally asymmetric, partially asymmetric and symmetric simple exclusion processes (TASEP, PASEP, SSEP respectively). In these steady…

Statistical Mechanics · Physics 2020-04-22 Anthony J. Wood , Richard A. Blythe , Martin R. Evans

We consider the partially asymmetric simple exclusion process (PASEP) when its steady-state probability distribution function can be written in terms of a linear superposition of product measures with a finite number of shocks. In this case…

Statistical Mechanics · Physics 2010-06-10 Farhad H. Jafarpour , Somayeh Zeraati

We consider the totally asymmetric simple exclusion process (TASEP) with two different initial conditions with shock discontinuities formed by blocks of fully packed particles. Initially a second class particle is at the left of a shock…

Probability · Mathematics 2021-05-19 Alexey Bufetov , Patrik L. Ferrari

In this thesis, we consider one of the most popular models of non-equilibrium statistical physics: the Asymmetric Simple Exclusion Process, in which particles jump stochastically on a one-dimensional lattice, between two reservoirs at fixed…

Statistical Mechanics · Physics 2014-03-28 Alexandre Lazarescu

We present some bottom-up motivations of axions and other weakly interacting sub-eV particles (WISPs) coupling to photons. Typically, these light particles are strongly constrained by their production or interaction in astrophysical and…

High Energy Physics - Phenomenology · Physics 2009-10-13 Markus Ahlers