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The conversion of phase variations in an optical wavefield into intensity information is of fundamental importance for optical imaging technology including microscopy of biological cells. While conventional approaches to phase-imaging…

Optics · Physics 2022-09-07 Lukas Wesemann , Jon Rickett , Timothy J. Davis , Ann Roberts

We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram using an exact projection to the LPASEP solved by us in a…

Statistical Mechanics · Physics 2019-02-19 Arvind Ayyer , Caley Finn , Dipankar Roy

While advances in computation are enabling finer grid resolutions in numerical weather prediction models, representing land-atmosphere exchange processes as a lower boundary condition remains a challenge. This partially results of the fact…

Atmospheric and Oceanic Physics · Physics 2019-01-03 Fabien Margairaz , Eric Pardyjak , Marc Calaf

We investigate the totally asymmetric simple exclusion process (TASEP) in the presence of obstacles that dynamically bind and unbind from the lattice. The model is motivated by biological processes such as transcription in the presence of…

Statistical Mechanics · Physics 2020-10-21 Juraj Szavits-Nossan , Bartlomiej Waclaw

The asymmetric simple exclusion process (ASEP) is a paradigmatic driven-diffusive system that describes the asymmetric diffusion of particles with hardcore interactions in a lattice. Although the ASEP is known as an exactly solvable model,…

Statistical Mechanics · Physics 2024-05-16 Yuki Ishiguro , Jun Sato

Fundamental biological processes such as transcription and translation, where a genetic sequence is sequentially read by a macromolecule, have been well described by a classical model of non-equilibrium statistical physics, the totally…

Quantitative Methods · Quantitative Biology 2019-08-15 Jingkui Wang , Benjamin Pfeuty , Quentin Thommen , Carmen Romano , Marc Lefranc

We study in further detail particle models displaying a boundary-induced absorbing state phase transition [Phys. Rev. E. {\bf 65}, 046104 (2002) and Phys. Rev. Lett. {\bf 100}, 165701 (2008)] . These are one-dimensional systems consisting…

Statistical Mechanics · Physics 2009-04-25 A. C. Barato , J. A. Bonachela , C. E. Fiore , H. Hinrichsen , M. A. Muñoz

We derive a formula for the quasi-potential of one-dimensional symmetric exclusion process in weak contact with reservoirs. The interaction with the boundary is so weak that, in the diffusive scale, the density profile evolves as the one of…

Probability · Mathematics 2023-08-22 Claudio Landim , Sonia Velasco

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 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

Epidemic spreading often occurs in spatially heterogeneous environments, yet how quenched heterogeneity reshapes its onset and critical dynamics remains poorly understood. The diffusive epidemic process, a minimal reaction-diffusion model…

Statistical Mechanics · Physics 2026-03-24 Valentin Anfray , Hong-Yan Shih

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

The totally asymmetric simple exclusion process in discrete time is considered on finite rings with fixed number of particles. A translation-invariant version of the backward-ordered sequential update is defined for periodic boundary…

Soft Condensed Matter · Physics 2007-05-23 J. G. Brankov , Vl. V. Papoyan , V. S. Poghosyan , V. B. Priezzhev

The dynamics of an asymmetric tracer in the symmetric simple exclusion process (SEP) is mapped, in the continuous scaling limit, to the local current through the origin in the zero-range process (ZRP) with a biased bond. This allows us to…

Statistical Mechanics · Physics 2022-11-23 Rahul Dandekar , Kirone Mallick

We obtain the large deviation function for entropy production of the medium and its distribution function for two-site totally asymmetric simple exclusion process(TASEP) and three-state unicyclic network. Since such systems are described…

Statistical Mechanics · Physics 2016-01-29 Bappa Saha , Sutapa Mukherji

We propose and study a conceptual one-dimensional model to explore how the combined interplay between fixed resources and particle exchanges between different parts of an extended system can affect the stationary densities in a current…

Statistical Mechanics · Physics 2025-02-10 Sourav Pal , Parna Roy , Abhik Basu

Non-equilibrium systems are often characterized by the transport of some quantity at a macroscopic scale, such as, for instance, a current of particles through a wire. The Asymmetric Simple Exclusion Process (ASEP) is a paradigm for…

Statistical Mechanics · Physics 2013-05-30 Mieke Gorissen , Alexandre Lazarescu , Kirone Mallick , Carlo Vanderzande

We describe a phase transition in continuum limits of interacting particle systems that exhibits a vertical bifurcation diagram. The transition is mediated by a competition short-range repulsion and long-range attraction. As a consequence…

Dynamical Systems · Mathematics 2025-07-15 Arnd Scheel , Angela Stevens

Dynamical phase transitions are crucial features of the fluctuations of statistical systems, corresponding to boundaries between qualitatively different mechanisms of maintaining unlikely values of dynamical observables over long periods of…

Statistical Mechanics · Physics 2017-06-02 Alexandre Lazarescu

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