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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…

统计力学 · 物理学 2009-08-30 L. Jonathan Cook , R. K. P. Zia

We argue, physically and formally, that existing diffusive models of noise yield inaccurate microscopic descriptions of nonequilibrium current fluctuations. The theoretical shortfall becomes pronounced in quantum-confined metallic systems,…

介观与纳米尺度物理 · 物理学 2009-10-31 F. Green , M. P. Das

This paper presents a detailed aeroacoustic investigation of a Controlled-Diffusion airfoil at near stall condition. The study aims at answering two research questions: identify the flow mechanism responsible for separation noise for an…

流体动力学 · 物理学 2023-09-21 Prateek Jaiswal , Jose Rendón , Stéphane Moreau

Filtered Poisson processes are often used as reference models for intermittent fluc- tuations in physical systems. Such a process is here extended by adding a noise term, either as a purely additive term to the process or as a dynamical…

数据分析、统计与概率 · 物理学 2018-05-04 Audun Theodorsen , Odd Erik Garcia , Martin Rypdal

A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a…

统计力学 · 物理学 2025-11-04 Marina V. Yashina , Alexander G. Tatashev

Light diffusion is usually associated with thick, opaque media. Indeed, multiple scattering is necessary for the onset of the diffusive regime and such condition is generally not met in almost transparent media. Nonetheless, at long enough…

Diffusion of chemicals or tracer molecules through complex systems containing irregularly shaped channels is important in many applications. Most theoretical studies based on the famed Fick-Jacobs equation focus on the idealised case of…

统计力学 · 物理学 2014-12-24 Max Bauer , Aljaz Godec , Ralf Metzler

By generalizing the algebra of operators of the Asymmetric Simple Exclusion Process (ASEP), a multi-species ASEP in which particles can overtake each other,is defined on both open and closed one dimensional chains. On the ring the steady…

凝聚态物理 · 物理学 2009-10-31 V. karimipour

We study noise-induced switching of a system close to bifurcation parameter values where the number of stable states changes. For non-Gaussian noise, the switching exponent, which gives the logarithm of the switching rate, displays a…

统计力学 · 物理学 2015-05-14 Lora Billings , Ira B. Schwartz , Marie McCrary , A. N. Korotkov , M. I. Dykman

We study noise-averaged observables for a system of exchange-coupled quantum spins (qubits), each subject to a stochastic drive, by establishing mappings onto stochastic models in the strong-noise limit. Averaging over noise yields…

统计力学 · 物理学 2020-03-16 Daniel A. Rowlands , Austen Lamacraft

We study diffusive mixing in the presence of thermal fluctuations under the assumption of large Schmidt number. In this regime we obtain a limiting equation that contains a diffusive thermal drift term with diffusion coefficient obeying a…

统计力学 · 物理学 2015-06-18 A. Donev , T. G. Fai , E. Vanden-Eijnden

We consider a continuous random walk model for describing normal as well as anomalous diffusion of particles subjected to an external force when these particles diffuse in a uniformly expanding (or contracting) medium. A general equation…

统计力学 · 物理学 2018-10-17 F. Le Vot , S. B. Yuste

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

无序系统与神经网络 · 物理学 2018-02-14 S. V. Novikov

We study two-component single-file diffusion inside a narrow channel that at its ends is open and connected with particle reservoirs. Using a two-species version of the symmetric simple exclusion process as a model, we propose a…

软凝聚态物质 · 物理学 2007-05-23 Andreas Brzank , Gunter M. Schuetz

The one-dimensional totally asymmetric simple exclusion process (TASEP) with $N$ particles on a periodic lattice of $L$ sites is an interacting particle system with hopping rates breaking detailed balance. The total time-integrated current…

统计力学 · 物理学 2015-12-01 Sylvain Prolhac

The Fokker-Planck equation provides complete statistical description of a particle undergoing random motion in a solvent. In the presence of Lorentz force due to an external magnetic field, the Fokker-Planck equation picks up a tensorial…

We derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

统计力学 · 物理学 2018-12-19 Trevor GrandPre , David T. Limmer

We consider the TASEP on Z with two blocks of particles having different jump rates. We study the large time behavior of particles' positions. It depends both on the jump rates and the region we focus on, and we determine the complete…

数学物理 · 物理学 2010-03-03 Alexei Borodin , Patrik L. Ferrari , Tomohiro Sasamoto

This work considers a Poisson noise channel with an amplitude constraint. It is well-known that the capacity-achieving input distribution for this channel is discrete with finitely many points. We sharpen this result by introducing upper…

信息论 · 计算机科学 2021-07-30 Alex Dytso , Luca Barletta , Shlomo Shamai

The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement(or…

统计力学 · 物理学 2019-02-20 Bing Wang , Xiaoxiao Zhang , Yajuan Sun , Zhongwei Qu , Xuechao Li
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